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  Subjects -> MATHEMATICS (Total: 870 journals)
    - APPLIED MATHEMATICS (68 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (646 journals)
    - MATHEMATICS (GENERAL) (40 journals)
    - NUMERICAL ANALYSIS (20 journals)
    - PROBABILITIES AND MATH STATISTICS (76 journals)

MATHEMATICS (646 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 3)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 6)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 20)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 9)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 2)
Acta Mathematica Scientia     Full-text available via subscription   (Followers: 5)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 4)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 3)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Complex Systems     Hybrid Journal   (Followers: 7)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 1)
Advances in Materials Sciences     Open Access   (Followers: 15)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 3)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 5)
Advances in Pure Mathematics     Open Access   (Followers: 4)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 5)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Afrika Matematika     Hybrid Journal   (Followers: 1)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 2)
Algebra Colloquium     Hybrid Journal   (Followers: 4)
Algebra Universalis     Hybrid Journal   (Followers: 2)
Algorithmic Operations Research     Full-text available via subscription   (Followers: 5)
Algorithms     Open Access   (Followers: 9)
Algorithms Research     Open Access  
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 7)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis     Hybrid Journal   (Followers: 2)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 4)
Analysis Mathematica     Full-text available via subscription  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
Annales UMCS, Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription  
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access  
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access  
Annuaire du Collège de France     Open Access   (Followers: 5)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 1)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 4)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 4)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 1)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Numerical Analysis & Computational Mathematics     Hybrid Journal   (Followers: 5)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 2)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 17)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 1)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access  
Baltic International Yearbook of Cognition, Logic and Communication     Open Access  
Basin Research     Hybrid Journal   (Followers: 3)
BIBECHANA     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
BoEM - Boletim online de Educação Matemática     Open Access  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription   (Followers: 1)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 19)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 5)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 4)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 1)
Bulletin of Mathematical Sciences     Open Access   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Calculus of Variations and Partial Differential Equations     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 18)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
ChemSusChem     Hybrid Journal   (Followers: 7)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Clean Air Journal     Full-text available via subscription   (Followers: 2)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Full-text available via subscription   (Followers: 1)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 1)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 3)
Complex Analysis and its Synergies     Open Access   (Followers: 2)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Comptes Rendus Mathematique     Full-text available via subscription   (Followers: 1)
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 5)
Concrete Operators     Open Access   (Followers: 4)
Confluentes Mathematici     Hybrid Journal  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 12)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Czechoslovak Mathematical Journal     Hybrid Journal   (Followers: 1)
Demographic Research     Open Access   (Followers: 11)
Demonstratio Mathematica     Open Access  
Dependence Modeling     Open Access  
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 28)
Developments in Clay Science     Full-text available via subscription   (Followers: 1)
Developments in Mineral Processing     Full-text available via subscription   (Followers: 3)
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 2)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Graph Theory and Applications     Open Access   (Followers: 2)
Electronic Notes in Discrete Mathematics     Full-text available via subscription   (Followers: 2)
Elemente der Mathematik     Full-text available via subscription   (Followers: 3)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)
Enseñanza de las Ciencias : Revista de Investigación y Experiencias Didácticas     Open Access  
Ensino da Matemática em Debate     Open Access  
Entropy     Open Access   (Followers: 4)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 4)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 3)
Expositiones Mathematicae     Hybrid Journal   (Followers: 2)
Facta Universitatis, Series : Mathematics and Informatics     Open Access  
Fasciculi Mathematici     Open Access  
Finite Fields and Their Applications     Full-text available via subscription   (Followers: 4)
Fixed Point Theory and Applications     Open Access   (Followers: 1)
Formalized Mathematics     Open Access   (Followers: 2)

        1 2 3 4 | Last

Journal Cover Applied Mathematics Letters
  [SJR: 1.141]   [H-I: 65]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal  (Not entitled to full-text)
   ISSN (Print) 0893-9659
   Published by Elsevier Homepage  [3041 journals]
  • On the integrability of Liénard systems with a strong saddle
    • Authors: Jaume Giné; Jaume Llibre
      Pages: 130 - 131
      Abstract: Publication date: August 2017
      Source:Applied Mathematics Letters, Volume 70
      Author(s): Jaume Giné, Jaume Llibre
      We study the local analytic integrability for real Liénard systems, x ̇ = y − F ( x ) , y ̇ = x , with F ( 0 ) = 0 but F ′ ( 0 ) ≠ 0 , which implies that it has a strong saddle at the origin. First we prove that this problem is equivalent to study the local analytic integrability of the [ p : − q ] resonant saddles. This result implies that the local analytic integrability of a strong saddle is a hard problem and only partial results can be obtained. Nevertheless this equivalence gives a new method to compute the so-called resonant saddle quantities transforming the [ p : − q ] resonant saddle into a strong saddle.

      PubDate: 2017-03-21T12:58:09Z
      DOI: 10.1016/j.chaos.2017.01.014
      Issue No: Vol. 96 (2017)
       
  • A two-mode modified KdV equation with multiple soliton solutions
    • Authors: Abdul-Majid Wazwaz
      Pages: 1 - 6
      Abstract: Publication date: August 2017
      Source:Applied Mathematics Letters, Volume 70
      Author(s): Abdul-Majid Wazwaz
      In this work we establish a two-mode modified Korteweg–de Vries equation (TmKdV). We show that multiple soliton solutions exist for specific values of the nonlinearity and dispersion parameters of this equation. We also derive more exact solutions for other values of these parameters. We will use the simplified Hirota’s method, the tanh/coth method to conduct this analysis.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.015
      Issue No: Vol. 70 (2017)
       
  • Existence and uniqueness of the modified error function
    • Authors: Andrea N. Ceretani; Natalia N. Salva; Domingo A. Tarzia
      Pages: 14 - 17
      Abstract: Publication date: August 2017
      Source:Applied Mathematics Letters, Volume 70
      Author(s): Andrea N. Ceretani, Natalia N. Salva, Domingo A. Tarzia
      This article is devoted to the proof of the existence and uniqueness of the modified error function introduced in Cho and Sunderland (1974). This function is defined as the solution to a nonlinear second order differential problem depending on a real parameter. We prove here that this problem has a unique non-negative analytic solution when the parameter assumes small positive values.

      PubDate: 2017-03-17T12:54:36Z
      DOI: 10.1016/j.aml.2017.02.017
      Issue No: Vol. 70 (2017)
       
  • Exact value of cross-constrain problem and strong instability of standing
           waves in trapped dipolar quantum gases
    • Authors: Juan Huang; Jian Zhang
      Pages: 32 - 38
      Abstract: Publication date: August 2017
      Source:Applied Mathematics Letters, Volume 70
      Author(s): Juan Huang, Jian Zhang
      This paper concerns the exact value of cross-constrain problem and strong instability of standing waves in trapped dipolar quantum gases. By analyzing the characters of ground state, we give the relation of the cross-constrain problem and constrain problems. Then the exact value of the cross-constrain problem is obtained in the form of the ground state which is relevant to the frequency. Finally, we show the standing waves are strongly unstable.

      PubDate: 2017-03-21T12:58:09Z
      DOI: 10.1016/j.aml.2017.03.002
      Issue No: Vol. 70 (2017)
       
  • Permanence and extinction in a stochastic service–resource mutualism
           model
    • Authors: Yu Zhu; Meng Liu
      Pages: 1 - 7
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Yu Zhu, Meng Liu
      In this paper, a stochastic service–resource mutualism model is proposed and studied. For each species, the threshold between stochastic permanence and extinction is established. The effects of stochastic perturbations on the permanence and extinction of the resource species and the service species are revealed.

      PubDate: 2017-02-18T07:47:12Z
      DOI: 10.1016/j.aml.2017.01.020
      Issue No: Vol. 69 (2017)
       
  • Periodic solutions of Liebau-type differential equations
    • Authors: Fang-Fang Liao
      Pages: 8 - 14
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Fang-Fang Liao
      We study the existence of positive periodic solutions for a second order differential equation which is related to the Liebau phenomenon. The proof is based on the fixed point theorem in cones. Our results improve and generalize those in the literature.

      PubDate: 2017-02-18T07:47:12Z
      DOI: 10.1016/j.aml.2017.02.001
      Issue No: Vol. 69 (2017)
       
  • Upper semicontinuity of global attractors for a family of semilinear wave
           equations with gentle dissipation
    • Authors: Zhijian Yang; Zhiming Liu
      Pages: 22 - 28
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Zhijian Yang, Zhiming Liu
      The paper investigates the upper semicontinuity of global attractors A α of a family of semilinear wave equations with gentle dissipation: u t t − △ u + γ ( − △ ) α u t + f ( u ) = g ( x ) , with α ∈ ( 0 , 1 ∕ 2 ) . It is a continuation of researches in Yang et al. (2016), where the existence of global attractors of the equations has been established. We further show that for any neighborhood U of A α 0 , α 0 ∈ ( 0 , 1 ∕ 2 ) , A α ⊂ U when 0 < α − α 0 ≪ 1 .

      PubDate: 2017-02-25T08:38:21Z
      DOI: 10.1016/j.aml.2017.01.006
      Issue No: Vol. 69 (2017)
       
  • Analytical properties of nonlinear dislocation equation
    • Authors: Nikolay A. Kudryashov
      Pages: 29 - 34
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Nikolay A. Kudryashov
      Continuum model corresponding to the generalization of both the Fermi–Pasta–Ulam and the Frenkel–Kontorova models is considered. This generalized model can be used for the description of nonlinear dislocation waves in the crystal lattice. Using the Painlevé test we analyze the integrability of this equation. We find that there exists an integrable case of the partial differential equation for nonlinear dislocations. Exact solutions of nonlinear dislocation equation are presented.

      PubDate: 2017-02-25T08:38:21Z
      DOI: 10.1016/j.aml.2017.01.015
      Issue No: Vol. 69 (2017)
       
  • Identification of non-smooth boundary heat dissipation by partial boundary
           data
    • Authors: Yuchan Wang; Jijun Liu
      Pages: 42 - 48
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Yuchan Wang, Jijun Liu
      When electronic devices are in operation, the sharp change of the temperature on devices surface can be considered as an indicator of devices faults. Based on this engineering background, we consider an inverse problem for 1-dimensional heat conduction model, with the aim of detecting the nonsmooth heat dissipation coefficient from measurable temperature on the device surface. We establish the uniqueness for the nonsmooth dissipation coefficient and prove the convergence property of the minimizer of the regularizing cost functional for the inverse problem theoretically. Then a double-iteration scheme minimizing the data-match term and the regularization term alternatively is proposed to implement the reconstructions.

      PubDate: 2017-02-25T08:38:21Z
      DOI: 10.1016/j.aml.2017.02.004
      Issue No: Vol. 69 (2017)
       
  • A homotopy method for solving multilinear systems with M-tensors
    • Authors: Lixing Han
      Pages: 49 - 54
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Lixing Han
      Multilinear systems of equations arise in various applications, such as numerical partial differential equations, data mining, and tensor complementarity problems. In this paper, we propose a homotopy method for finding the unique positive solution to a multilinear system with a nonsingular M-tensor and a positive right side vector. We analyze the method and prove its convergence to the desired solution. We report some numerical results based on an implementation of the proposed method using a prediction–correction approach for path following.

      PubDate: 2017-02-25T08:38:21Z
      DOI: 10.1016/j.aml.2017.01.019
      Issue No: Vol. 69 (2017)
       
  • Relation between solutions and initial values for evolution p-Laplacian
           equation
    • Authors: Liangwei Wang
      Pages: 55 - 60
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Liangwei Wang
      In this paper, we consider the Cauchy problem of the evolution p -Laplacian equation, and reveal the fact that there exists an equivalence relation between the ω -limit set of solutions and the ω -limit set of initial values. This relation can be used to prove different asymptotic behaviors of solutions, and two examples are given at the end of this paper.

      PubDate: 2017-02-25T08:38:21Z
      DOI: 10.1016/j.aml.2017.01.013
      Issue No: Vol. 69 (2017)
       
  • Analysis of the SDFEM in a streamline diffusion norm for singularly
           perturbed convection diffusion problems
    • Authors: Xiaowei Liu; Jin Zhang
      Pages: 61 - 66
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Xiaowei Liu, Jin Zhang
      In this paper we analyze a streamline diffusion finite element method (SDFEM) for a model singularly perturbed convection diffusion problem. By decreasing the standard stabilization parameter properly near the exponential layers, we obtain uniform estimates in a new norm which is stronger than the usual ε -energy norm and weaker than the standard streamline diffusion norm. Through the analysis we know about the influences of the stabilization parameter on the SDFEM solutions.

      PubDate: 2017-03-04T08:44:03Z
      DOI: 10.1016/j.aml.2017.02.005
      Issue No: Vol. 69 (2017)
       
  • A new error analysis of Bergan’s energy-orthogonal element for a
           plate contact problem
    • Authors: Lifang Pei; Dongyang Shi
      Pages: 67 - 74
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Lifang Pei, Dongyang Shi
      A nonconforming finite element method (FEM for short) is proposed and analyzed for a plate contact problem by employing the Bergan’s energy-orthogonal plate element. Because the shape function and its first derivatives of this element are discontinuous at the element’s vertices, which is quite different from the conventional finite elements used in the existing literature, some novel approaches, including interpolation operator splitting and energy orthogonality, are developed to present a new error analysis for deriving an optimal estimate of order O ( h ) . At last, some numerical results are also provided to confirm the theoretical analysis.

      PubDate: 2017-03-04T08:44:03Z
      DOI: 10.1016/j.aml.2017.01.018
      Issue No: Vol. 69 (2017)
       
  • Regularity bounds for a Gevrey criterion in a kernel-based regularization
           of the Cauchy problem of elliptic equations
    • Authors: Vo Anh Khoa; Tran The Hung
      Pages: 75 - 81
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Vo Anh Khoa, Tran The Hung
      This Note derives regularity bounds for a Gevrey criterion when the Cauchy problem of elliptic equations is solved by regularization. When utilizing the regularization, one knows that checking such criterion is basically problematic, albeit its importance to engineering circumstances. Therefore, coping with that impediment helps us improve the use of some regularization methods in real-world applications. This work also considers the presence of the power-law nonlinearities.

      PubDate: 2017-03-04T08:44:03Z
      DOI: 10.1016/j.aml.2017.02.009
      Issue No: Vol. 69 (2017)
       
  • The lower bound for the blowup time of the solution to a quasi-linear
           parabolic problem
    • Authors: Xiaowei An; Xianfa Song
      Pages: 82 - 86
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Xiaowei An, Xianfa Song
      In this paper, using a delicate application of general Sobolev inequality, we establish the lower bound for the blowup time of the solution to a quasi-linear parabolic problem, which improves the result of Theorem 2.1 in Bao and Song (2014).

      PubDate: 2017-03-04T08:44:03Z
      DOI: 10.1016/j.aml.2017.01.004
      Issue No: Vol. 69 (2017)
       
  • Multiplicity of nontrivial solutions for a critical degenerate Kirchhoff
           type problem
    • Authors: Chunhong Zhang; Zhisu Liu
      Pages: 87 - 93
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Chunhong Zhang, Zhisu Liu
      In this paper, we study the following Kirchhoff type problem with critical growth − M ∫ Ω ∇ u 2 d x △ u = λ u 2 u + u 4 u in Ω , u = 0 on  ∂ Ω , where Ω is a smooth bounded domain in R 3 , M ∈ C ( R + , R ) and λ > 0 . We prove the existence of multiple nontrivial solutions for the above problem, when parameter λ belongs to some left neighborhood of the eigenvalue of the nonlinear operator − M ( ∫ Ω ∇ u 2 d x ) △ .

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.01.016
      Issue No: Vol. 69 (2017)
       
  • Numerical analysis of the space fractional Navier–Stokes equations
    • Authors: Huanying Xu; Xiaoyun Jiang; Bo Yu
      Pages: 94 - 100
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Huanying Xu, Xiaoyun Jiang, Bo Yu
      This work numerically investigates the space fractional Navier–Stokes equations obtained through replacing Laplacian operator in Navier–Stokes equations by Riesz fractional derivatives. The pressure-driven flow between two parallel plates is solved with the finite difference method of fractional differential equations. The influence of pertinent parameters on the characteristics of fluid flow is analyzed with graphics. Further, the Levenberg–Marquardt algorithm is also proposed to estimate model parameters.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.006
      Issue No: Vol. 69 (2017)
       
  • Darboux transformation and dark soliton solution for the defocusing
           Sasa–Satsuma equation
    • Authors: Hai-Qiang Zhang; Rui Hu; Meng-Yue Zhang
      Pages: 101 - 105
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Hai-Qiang Zhang, Rui Hu, Meng-Yue Zhang
      In this Letter, the Darboux transformation is first applied to the defocusing Sasa–Satsuma equation which describes the propagation dynamics of ultrashort light pulses in the normal dispersion regime of optical fibers. The N -fold iterative transformation is expressed in terms of the determinants. This transformation enables us to construct explicit analytical dark soliton solutions from non-vanishing background. In illustration, the single-dark soliton solution is presented from the once-iterated formula.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.012
      Issue No: Vol. 69 (2017)
       
  • Self-regulation in the Bolker–Pacala model
    • Authors: Yuri Kondratiev; Yuri Kozitsky
      Pages: 106 - 112
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Yuri Kondratiev, Yuri Kozitsky
      The Markov dynamics is studied of an infinite system of point entities placed in R d , in which the constituents disperse and die, also due to competition. Assuming that the dispersal and competition kernels are continuous and integrable we show that the evolution of states of this model preserves their sub-Poissonicity, and hence the local self-regulation (suppression of clustering) takes place. Upper bounds for the correlation functions of all orders are also obtained for both long and short dispersals, and for all values of the intrinsic mortality rate.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.011
      Issue No: Vol. 69 (2017)
       
  • Novel higher-order rational solitons and dynamics of the defocusing
           integrable nonlocal nonlinear Schrödinger equation via the determinants
    • Authors: Guoqiang Zhang; Zhenya Yan; Yong Chen
      Pages: 113 - 120
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Guoqiang Zhang, Zhenya Yan, Yong Chen
      We investigate the defocusing integrable nonlocal nonlinear Schrödinger (nNLS) equation using the loop group method and perturbation expansion idea. The associated N -fold Darboux transformation is presented in terms of the simple determinants. As the application of the N -fold Darboux transformation, we find the higher-order rational solitons of the nNLS equation, which exhibit many new types of soliton structures. Moreover, we also numerically study the stability of some rational solitons. The results are useful to explain the corresponding wave phenomena in nonlocal wave models.

      PubDate: 2017-03-04T08:44:03Z
      DOI: 10.1016/j.aml.2017.02.002
      Issue No: Vol. 69 (2017)
       
  • Study of a fifth order PDE using symmetries
    • Authors: Stylianos Dimas; Igor Leite Freire
      Pages: 121 - 125
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Stylianos Dimas, Igor Leite Freire
      We study a family of PDEs, which was derived as an approximation of an extended Lotka–Volterra system, from the point of view of symmetries. Also, by performing the self adjoint classification on that family we offer special cases possessing non trivial conservation laws. Using both classifications we justify the particular cases studied in the literature, and we give additional cases that may be of importance.

      PubDate: 2017-03-04T08:44:03Z
      DOI: 10.1016/j.aml.2017.02.010
      Issue No: Vol. 69 (2017)
       
  • A note on oscillation of second-order delay differential equations
    • Authors: Jozef Džurina; Irena Jadlovská
      Pages: 126 - 132
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Jozef Džurina, Irena Jadlovská
      The purpose of this paper is to study the second-order half-linear delay differential equation r ( t ) y ′ ( t ) α ′ + q ( t ) y α ( τ ( t ) ) = 0 under the condition ∫ ∞ r − 1 ∕ α ( t ) d t < ∞ . Contrary to most existing results, oscillation of the studied equation is attained via only one condition. A particular example of Euler type equation is provided in order to illustrate the significance of our main results.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.003
      Issue No: Vol. 69 (2017)
       
  • A goal-oriented a posteriori error estimate for the oscillating single
           layer integral equation
    • Authors: Marc Bakry
      Pages: 133 - 137
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Marc Bakry
      We construct a reliable goal-oriented a posteriori error estimate for the oscillating single layer equation in acoustics. It is based on the computation of the residual corresponding to the primal problem and a reconstruction of the local error for the solution of the dual problem following the Dual-Weighted-Residual approach. We give a numerical example in 2D where the target is the far field value in some direction.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.01.011
      Issue No: Vol. 69 (2017)
       
  • Exact Newton method with third-order convergence to model the dynamics of
           bubbles in incompressible flow
    • Authors: Aymen Laadhari
      Pages: 138 - 145
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Aymen Laadhari
      In this letter, we present a computational framework based on the use of the Newton and level set methods and tailored for the modeling of bubbles with surface tension in a surrounding Newtonian fluid. We describe a fully implicit and monolithic finite element method that maintains stability for significantly larger time steps compared to the usual explicit method and features substantial computational savings. A suitable transformation avoids the introduction of an additional mixed variable in the variational problem. An exact tangent problem is derived and the nonlinear problem is solved by a quadratically convergent Newton method. In addition, we consider a generalization to the multidimensional case of the Kou’s and McDougall’s methods, resulting in a faster convergence. The method is benchmarked against known results with the aim of illustrating its accuracy and robustness.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.01.012
      Issue No: Vol. 69 (2017)
       
  • On regularity criteria of weak solutions to the 3D viscoelastic
           Navier–Stokes equations with damping
    • Authors: Jae-Myoung Kim
      Pages: 153 - 160
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Jae-Myoung Kim
      We give a weak − L p Serrin type regularity criteria of weak solutions to the 3D viscoelastic Navier–Stokes equations with damping, which is described as an incompressible non-Newtonian fluid in the whole space R 3 .

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.008
      Issue No: Vol. 69 (2017)
       
  • CRE solvability and soliton-cnoidal wave interaction solutions of the
           dissipative (2+1)-dimensional AKNS equation
    • Authors: Hui Wang; Yun-Hu Wang
      Pages: 161 - 167
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Hui Wang, Yun-Hu Wang
      By using the truncated Painlevé expansion and consistent Riccati expansion (CRE), we investigate a dissipative ( 2 + 1 )-dimensional Ablowitz–Kaup–Newell–Segur (AKNS) equation. Through the truncated Painlevé expansion, its nonlocal symmetry and Bäcklund transformation (BT) are presented. Then the nonlocal symmetry is localized to the corresponding nonlocal group by an enlarged system. Based on the CRE method proposed by Lou (2013), the AKNS equation is proved CRE solvable, and the soliton-cnoidal wave interaction solutions are explicitly given.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.007
      Issue No: Vol. 69 (2017)
       
  • Asymptotical stability of Riemann–Liouville fractional neutral
           systems
    • Authors: Song Liu; Xiang Wu; Yan-Jie Zhang; Ran Yang
      Pages: 168 - 173
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Song Liu, Xiang Wu, Yan-Jie Zhang, Ran Yang
      In this paper, the asymptotical stability of Riemann–Liouville fractional neutral systems is investigated. Applying Lyapunov direct method, we present new sufficient conditions on asymptotical stability in terms of linear matrix inequality (LMI) which can be easily solved. The advantage of our employed method is that one may directly calculate integer-order derivatives of the Lyapunov functions. Finally, two simple examples are given to show that the proposed method is computationally flexible and efficient.

      PubDate: 2017-03-09T12:40:00Z
      DOI: 10.1016/j.aml.2017.02.016
      Issue No: Vol. 69 (2017)
       
  • Stability analysis of a chemostat model with maintenance energy
    • Authors: Tonghua Zhang; Tongqian Zhang; Xinzhu Meng
      Pages: 1 - 7
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Tonghua Zhang, Tongqian Zhang, Xinzhu Meng
      In this paper, we dedicate ourselves to the study of a diffusive model for unstirred membrane reactors with maintenance energy and subject to a homogeneous Neumann boundary condition. It shows that the unique constant steady state is globally asymptotically stable when it exists. This result further implies the non-existence of any spatial patterns.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.007
      Issue No: Vol. 68 (2017)
       
  • Existence and concentration of solutions of Schrödinger–Poisson
           system
    • Authors: Anmin Mao; Lijuan Yang; Aixia Qian; Shixia Luan
      Pages: 8 - 12
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Anmin Mao, Lijuan Yang, Aixia Qian, Shixia Luan
      The aim of this paper is to study the following Schrödinger–Poisson problem ( SP ) − △ u + V ( x ) u + ε ϕ ( x ) u = λ f ( u ) , in R 3 , − △ ϕ = u 2 , lim x → + ∞ ϕ ( x ) = 0 , in R 3 , u > 0 , in R 3 . We prove existence and concentration of positive solutions to system ( SP ) for suitable range of ε and λ .

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.014
      Issue No: Vol. 68 (2017)
       
  • Barycentric rational collocation methods for a class of nonlinear
           parabolic partial differential equations
    • Authors: Wei-Hua Luo; Ting-Zhu Huang; Xian-Ming Gu; Yi Liu
      Pages: 13 - 19
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Wei-Hua Luo, Ting-Zhu Huang, Xian-Ming Gu, Yi Liu
      In this study, based on barycentric rational interpolation functions, three collocation methods are presented for a class of nonlinear parabolic partial differential equations (PDEs). Corresponding algebraic equations are obtained. Numerical examples involving the Fitzhugh–Nagumo equation, Heat equation and Runge’s example are reported to illustrate the effectiveness of the proposed techniques.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.011
      Issue No: Vol. 68 (2017)
       
  • Differential equations with several non-monotone arguments: An oscillation
           result
    • Authors: G.E. Chatzarakis; H. Péics
      Pages: 20 - 26
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): G.E. Chatzarakis, H. Péics
      This paper is concerned with the oscillatory behavior of first-order differential equations with several non-monotone delay arguments and non-negative coefficients. A sufficient condition, involving lim sup , which guarantees the oscillation of all solutions is established. Also, an example illustrating the significance of the result is given.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.005
      Issue No: Vol. 68 (2017)
       
  • A fast and robust method for computing real roots of nonlinear equations
    • Authors: Xiao-Diao Chen; Jiaer Shi; Weiyin Ma
      Pages: 27 - 32
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Xiao-Diao Chen, Jiaer Shi, Weiyin Ma
      The root-finding problem of a univariate nonlinear equation is a fundamental and long-studied problem, and has wide applications in mathematics and engineering computation. This paper presents a fast and robust method for computing the simple root of a nonlinear equation within an interval. It turns the root-finding problem of a nonlinear equation into the solution of a set of linear equations, and explicit formulae are also provided to obtain the solution in a progressive manner. The method avoids the computation of derivatives, and achieves the convergence order 2 n − 1 by using n evaluations of the function, which is optimal according to Kung and Traub’s conjecture. Comparing with the prevailing Newton’s methods, it can ensure the convergence to the simple root within the given interval. Numerical examples show that the performance of the derived method is better than those of the prevailing methods.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.013
      Issue No: Vol. 68 (2017)
       
  • On symplectic transformations of linear Hamiltonian differential systems
           without normality
    • Authors: Julia Elyseeva
      Pages: 33 - 39
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Julia Elyseeva
      In this paper we investigate oscillations of conjoined bases of linear Hamiltonian differential systems related via symplectic transformations. Both systems are considered without controllability (or normality) assumptions and under the Legendre condition for their Hamiltonians. The main result of the paper presents new explicit relations connecting the multiplicities of proper focal points of Y ( t ) and the transformed conjoined basis Y ̃ ( t ) = R − 1 ( t ) Y ( t ) , where the symplectic transformation matrix R ( t ) obeys some additional assumptions on the rank of its components. As consequences of the main result we formulate the generalized reciprocity principle for the Hamiltonian systems without normality. The main tool of the paper is the comparative index theory for discrete symplectic systems generalized to the continuous case.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.012
      Issue No: Vol. 68 (2017)
       
  • Dynamics of the breathers, rogue waves and solitary waves in the
           (2+1)-dimensional Ito equation
    • Authors: Xiu-Bin Wang; Shou-Fu Tian; Chun-Yan Qin; Tian-Tian Zhang
      Pages: 40 - 47
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Xiu-Bin Wang, Shou-Fu Tian, Chun-Yan Qin, Tian-Tian Zhang
      In this paper, the homoclinic breather limit method is employed to find the breather wave and the rational rogue wave solutions of the ( 2 + 1 )-dimensional Ito equation. Moreover, based on its bilinear form, the solitary wave solutions of the equation are also presented with a detailed derivation. The dynamic behaviors of breather waves, rogue waves and solitary waves are analyzed with some graphics, respectively. The results imply that the extreme behavior of the breather solitary wave yields the rogue wave for the ( 2 + 1 )-dimensional Ito equation.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.009
      Issue No: Vol. 68 (2017)
       
  • Decay of solutions for the 3D Navier–Stokes equations with damping
    • Authors: Hui Liu; Hongjun Gao
      Pages: 48 - 54
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Hui Liu, Hongjun Gao
      The incompressible Navier–Stokes equations with damping are considered in this paper. Using Fourier splitting method, we will prove the L 2 decay of weak solutions for β > 2 with any α > 0 . Finally, we show the asymptotic stability of the solution to the system for β > 3 with any α > 0 and α ≥ 1 2 as β = 3 .

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.11.013
      Issue No: Vol. 68 (2017)
       
  • Lump and lump–kink solutions of the (3+1)-dimensional Jimbo–Miwa and
           two extended Jimbo–Miwa equations
    • Authors: Hong-Qian Sun; Ai-Hua Chen
      Pages: 55 - 61
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Hong-Qian Sun, Ai-Hua Chen
      In this paper, we study the lump solutions and their dynamics of the ( 3 + 1 ) -dimensional Jimbo–Miwa equation and two extended Jimbo–Miwa equations via bilinear forms. Based on the obtained lump solutions, the lump–kink solution which contains interaction between a lump and a kink wave of the ( 3 + 1 ) -dimensional Jimbo–Miwa equation is also obtained.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.12.008
      Issue No: Vol. 68 (2017)
       
  • Generalizing the variational iteration method for BVPs: Proper setting of
           the correction functional
    • Authors: S.A. Khuri; A. Sayfy
      Pages: 68 - 75
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): S.A. Khuri, A. Sayfy
      The aim of this article is to extend the Variational Iteration Method (VIM) for the proper treatment of boundary value problems (BVPs). This is achieved by introducing a modified correction functional, expressed in terms of two Lagrange multipliers, that takes both endpoints of the interval into consideration. The settings of the generalized VIM are given for three classes of BVPs. The numerical results of two examples confirm the validity and high accuracy of this novel generalization of the VIM.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.11.018
      Issue No: Vol. 68 (2017)
       
  • Limit cycles for a variant of a generalized Riccati equation
    • Authors: Jaume Llibre; Claudia Valls
      Pages: 76 - 79
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Jaume Llibre, Claudia Valls
      In this paper we provide a lower bound for the maximum number of limit cycles surrounding the origin of systems ( x ̇ , y ̇ = x ̈ ) given by a variant of the generalized Riccati equation x ̈ + ε x 2 n + 1 x ̇ + b x 4 n + 3 = 0 , where b > 0 , b ∈ R , n is a non-negative integer and ε is a small parameter. The tool for proving this result uses Abelian integrals.

      PubDate: 2017-01-15T03:57:14Z
      DOI: 10.1016/j.aml.2016.11.016
      Issue No: Vol. 68 (2017)
       
  • A new numerical method for variable order fractional functional
           differential equations
    • Authors: Xiuying Li; Haixia Li; Boying Wu
      Pages: 80 - 86
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Xiuying Li, Haixia Li, Boying Wu
      In this letter, a high order numerical scheme is proposed for solving variable order fractional functional differential equations. Firstly, the problem is approximated by an integer order functional differential equation. The integer order differential equation is then solved by the reproducing kernel method. Numerical examples are given to demonstrate the theoretical analysis and verify the efficiency of the proposed method.

      PubDate: 2017-01-22T09:35:05Z
      DOI: 10.1016/j.aml.2017.01.001
      Issue No: Vol. 68 (2017)
       
  • A second-order accurate numerical method for the space–time tempered
           fractional diffusion-wave equation
    • Authors: Minghua Chen; Weihua Deng
      Pages: 87 - 93
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Minghua Chen, Weihua Deng
      This paper focuses on providing the high order algorithms for the space–time tempered fractional diffusion-wave equation. The designed schemes are unconditionally stable and have the global truncation error O ( τ 2 + h 2 ) , being theoretically proved and numerically verified.

      PubDate: 2017-01-22T09:35:05Z
      DOI: 10.1016/j.aml.2016.12.010
      Issue No: Vol. 68 (2017)
       
  • Limit sets within curves where trajectories converge to
    • Authors: Pouria Ramazi; Hildeberto Jardón-Kojakhmetov; Ming Cao
      Pages: 94 - 100
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Pouria Ramazi, Hildeberto Jardón-Kojakhmetov, Ming Cao
      For continuously differentiable vector fields, we characterize the ω limit set of a trajectory converging to a compact curve Γ ⊂ R n . In particular, the limit set is either a fixed point or a continuum of fixed points if Γ is a simple open curve; otherwise, the limit set can in addition be either a closed orbit or a number of fixed points with compatibly oriented orbits connecting them. An implication of the result is a tightened-up version of the Poincaré–Bendixson theorem.

      PubDate: 2017-01-28T10:15:49Z
      DOI: 10.1016/j.aml.2017.01.005
      Issue No: Vol. 68 (2017)
       
  • Robust fixed stress splitting for Biot’s equations in heterogeneous
           media
    • Authors: Jakub Wiktor Both; Manuel Borregales; Jan Martin Nordbotten; Kundan Kumar; Florin Adrian Radu
      Pages: 101 - 108
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Jakub Wiktor Both, Manuel Borregales, Jan Martin Nordbotten, Kundan Kumar, Florin Adrian Radu
      We study the iterative solution of coupled flow and geomechanics in heterogeneous porous media, modeled by a three-field formulation of the linearized Biot’s equations. We propose and analyze a variant of the widely used Fixed Stress Splitting method applied to heterogeneous media. As spatial discretization, we employ linear Galerkin finite elements for mechanics and mixed finite elements (lowest order Raviart–Thomas elements) for flow. Additionally, we use implicit Euler time discretization. The proposed scheme is shown to be globally convergent with optimal theoretical convergence rates. The convergence is rigorously shown in energy norms employing a new technique. Furthermore, numerical results demonstrate robust iteration counts with respect to the full range of Lamé parameters for homogeneous and heterogeneous media. Being in accordance with the theoretical results, the iteration count is hardly influenced by the degree of heterogeneities.

      PubDate: 2017-01-28T10:15:49Z
      DOI: 10.1016/j.aml.2016.12.019
      Issue No: Vol. 68 (2017)
       
  • A hybrid-mesh hybridizable discontinuous Galerkin method for solving the
           time-harmonic Maxwell’s equations
    • Authors: Lan Zhu; Ting-Zhu Huang; Liang Li
      Pages: 109 - 116
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Lan Zhu, Ting-Zhu Huang, Liang Li
      This work presents a high-order hybridizable discontinuous Galerkin (HDG) method based on hybrid mesh to solve the two-dimensional time-harmonic Maxwell’s equations. The hybrid mesh consists of unstructured triangular mesh in the domain with complex geometries and structured quadrilateral mesh in the rest domain. The coupling of different meshes is natural in HDG framework. Numerical simulations show that the HDG method on hybrid mesh converges at the optimal rate. One can save computation costs by employing hybrid mesh due to the reduction in number of degrees of freedom (DOFs).

      PubDate: 2017-01-28T10:15:49Z
      DOI: 10.1016/j.aml.2016.12.018
      Issue No: Vol. 68 (2017)
       
  • Global regularity to the 3D generalized MHD equations with large initial
           data
    • Authors: Haibo Yu; Hao Xu; Mingxuan Zhu
      Pages: 117 - 121
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Haibo Yu, Hao Xu, Mingxuan Zhu
      This paper considers the global regularity to the 3D generalized MHD equations with the fractional dissipation and magnetic diffusion ( − Δ ) α for 0 < α < 5 ∕ 4 . Let μ , ν , u and b denote the viscosity coefficient, magnetic diffusivity, velocity field and magnetic field, respectively. It is shown that ‖ ( u , b ) ‖ H s ( s > 5 ∕ 2 − α ) is globally bounded as long as μ − ν ( μ + ν ) − 1 and H ̇ 5 2 − 2 α -norm on ( u 0 − b 0 ) or ( u 0 + b 0 ) sufficiently small, which generalizes the previous result about large solutions in He et al. (2014).

      PubDate: 2017-01-28T10:15:49Z
      DOI: 10.1016/j.aml.2017.01.007
      Issue No: Vol. 68 (2017)
       
  • Robin problems with general potential and double resonance
    • Authors: Nikolaos S. Papageorgiou; Calogero Vetro; Francesca Vetro
      Pages: 122 - 128
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Nikolaos S. Papageorgiou, Calogero Vetro, Francesca Vetro
      We consider a semilinear elliptic problem with Robin boundary condition and an indefinite and unbounded potential. The reaction term is a Carathéodory function exhibiting linear growth near ± ∞ . We assume that double resonance occurs with respect to any positive spectral interval. Using variational tools and critical groups, we show that the problem has a nontrivial smooth solution.

      PubDate: 2017-01-28T10:15:49Z
      DOI: 10.1016/j.aml.2017.01.003
      Issue No: Vol. 68 (2017)
       
  • Asymptotic behaviour of a population model with piecewise constant
           argument
    • Authors: Fatma
      Abstract: Publication date: August 2017
      Source:Applied Mathematics Letters, Volume 70
      Author(s): Fatma Karakoç
      We investigate oscillation about the positive equilibrium point of a population model with piecewise constant argument. By using linearized oscillation theory for difference equations a necessary and sufficient condition for the oscillation is obtained. Moreover it is showed that every nonoscillatory solution approaches to the equilibrium point as t tends to infinity.

      PubDate: 2017-03-09T12:40:00Z
       
  • Explicit solutions for a modified 2+1-dimensional coupled Burgers equation
           by using Darboux transformation
    • Authors: Ting
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Ting Su
      A Modified 2+1-Dimensional Coupled Burgers equation and its Lax pairs are proposed. A Darboux transformation for the Modified 2+1-Dimensional Coupled Burgers equation and its Lax pairs is established with the help of the gauge transformation between spectral problems. As an application of the Darboux transformation, we give some explicit solutions of the Modified 2+1-Dimensional Coupled Burgers equation.

      PubDate: 2017-02-25T08:38:21Z
       
  • Norm continuity of solution semigroups of a class of neutral functional
           differential equations with distributed delay
    • Authors: Kai Liu
      Abstract: Publication date: July 2017
      Source:Applied Mathematics Letters, Volume 69
      Author(s): Kai Liu
      In this note, we shall consider the norm continuity of a class of solution semigroups associated with linear functional differential equations of neutral type with time lag r > 0 in Hilbert spaces. The norm continuity plays an important role in the analysis of asymptotic stability of the system under consideration by means of spectrum approaches. We shall show that for a square integrable neutral delay term and an unbounded infinitesimal generator A multiplied by a square integrable weight function in the distributed delay term, the associated solution semigroup of the system is norm continuous at every t > r .

      PubDate: 2017-02-25T08:38:21Z
       
  • Liouville type theorem for stable solutions of p-Laplace equation in RN
    • Authors: Caisheng Chen
      Abstract: Publication date: June 2017
      Source:Applied Mathematics Letters, Volume 68
      Author(s): Caisheng Chen
      In this paper we prove the Liouville type theorem for stable solution of the p -Laplace equation (0.1) − Δ p u = f ( x ) u q − 1 u , x ∈ R N , where f ( x ) is a continuous and nonnegative function in R N ∖ { 0 } such that f ( x ) ≥ a 0 x a as x ≥ R 0 > 0 , where a > − p and a 0 > 0 . The results hold true for 1 ≤ p − 1 < q = q c ( p , N , a ) . Here q c is a new exponent, which is infinity in low dimension and is always larger than the classical critical one.

      PubDate: 2017-01-15T03:57:14Z
       
 
 
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