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  Subjects -> MATHEMATICS (Total: 886 journals)
    - APPLIED MATHEMATICS (72 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (656 journals)
    - MATHEMATICS (GENERAL) (42 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (77 journals)

MATHEMATICS (656 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: 3)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 8)
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: 22)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 11)
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: 7)
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: 5)
Advances in Difference Equations     Open Access   (Followers: 1)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 2)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Mathematical Physics     Open Access   (Followers: 5)
Advances in Mathematics     Full-text available via subscription   (Followers: 10)
Advances in Numerical Analysis     Open Access   (Followers: 4)
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: 6)
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)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Algebra and Logic     Hybrid Journal   (Followers: 4)
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: 11)
Algorithms Research     Open Access   (Followers: 1)
American Journal of Biostatistics     Open Access   (Followers: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 7)
American Journal of Operations Research     Open Access   (Followers: 5)
American Mathematical Monthly     Full-text available via subscription   (Followers: 6)
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: 3)
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: 9)
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 Network Science     Open Access  
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 1)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 19)
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: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 2)
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: 5)
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: 20)
Bruno Pini Mathematical Analysis Seminar     Open Access  
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 7)
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: 1)
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)
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: 3)
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: 14)
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: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Dnipropetrovsk University Mathematics Bulletin     Open Access  
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: 5)
ESAIM: Control Optimisation and Calculus of Variations     Full-text available via subscription   (Followers: 1)
European Journal of Combinatorics     Full-text available via subscription   (Followers: 5)
European Journal of Mathematics     Hybrid Journal   (Followers: 1)
European Scientific Journal     Open Access   (Followers: 2)
Experimental Mathematics     Hybrid Journal   (Followers: 4)
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)

        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
   ISSN (Print) 0893-9659
   Published by Elsevier Homepage  [3044 journals]
  • Asymptotic integration of second-order impulsive differential equations
    • Authors: S.D. Akgöl; A. Zafer
      Pages: 1 - 7
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): S.D. Akgöl, A. Zafer
      We initiate a study of the asymptotic integration problem for second-order nonlinear impulsive differential equations. It is shown that there exist solutions asymptotic to solutions of an associated linear homogeneous impulsive differential equation as in the case for equations without impulse effects. We introduce a new constructive method that can easily be applied to similar problems. An illustrative example is also given.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.010
      Issue No: Vol. 76 (2017)
       
  • On the solution of a class of complex symmetric linear systems
    • Authors: Maeddeh Pourbagher; Davod Khojasteh Salkuyeh
      Pages: 14 - 20
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Maeddeh Pourbagher, Davod Khojasteh Salkuyeh
      We present an iterative method for solving the complex symmetric system ( W + i T ) x = b , where T ∈ R n × n is a positive definite matrix and W ∈ R n × n is indefinite. Convergence of the method is investigated. The induced preconditioner is applied to accelerate the convergence rate of the GMRES( ℓ ) method and the numerical results are compared with those of the Hermitian normal splitting (HNS) preconditioner.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.013
      Issue No: Vol. 76 (2017)
       
  • Two-soliton solution to a generalized KP equation with general variable
           coefficients
    • Authors: Mingliang Wang; Xiangzheng Li; Jinliang Zhang
      Pages: 21 - 27
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Mingliang Wang, Xiangzheng Li, Jinliang Zhang
      A nonlinear transformation to a generalized KP equation with general variable coefficients (gvcKP) has been derived by using the simplified homogeneous balance method (SHB). The nonlinear transformation converts gvcKP into a quadratic homogeneity equation to be solved. The quadratic homogeneity equation admits exponential function solutions, thus one-soliton and two-soliton solutions of gvcKP can be obtained by means of the nonlinear transformation derived in the paper. As the special cases of gvcKP, several generalized KP equations with different form and the corresponding results of them are also given.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.011
      Issue No: Vol. 76 (2017)
       
  • An evolution problem related to nonlinear 2d-magnetoelasticity
    • Authors: Viatcheslav Priimenko; Mikhail Vishnevskii
      Pages: 28 - 33
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Viatcheslav Priimenko, Mikhail Vishnevskii
      There is studied a two-dimensional initial–boundary-value problem for the Lamé and Maxwell equations coupled through the nonlinear magnetoelastic effect. We prove the existence and uniqueness result.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.014
      Issue No: Vol. 76 (2017)
       
  • New robustness bounds for neutral type delay systems via functionals with
           prescribed derivative
    • Authors: Irina V. Alexandrova
      Pages: 34 - 39
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Irina V. Alexandrova
      The paper is devoted to the robust stability analysis of linear neutral type time delay systems with a constant delay and norm-bounded uncertainties. The method is based on the Lyapunov–Krasovskii functional with a derivative prescribed as a negative definite quadratic form of the “current” system state, which is considered to be not suitable for the robustness analysis due to the fact that it does not admit a quadratic lower bound. Unlike existing results, our approach does not require the derivative of the functional along the solutions of the perturbed system to be negative definite. Instead, we need just an essential part of the integral of the derivative to be negative. The resulting stability condition is presented in the form of a simple inequality depending on the so-called Lyapunov matrix, under an assumption that the difference operator of the perturbed system is stable. The result is applicable to all exponentially stable systems.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.009
      Issue No: Vol. 76 (2017)
       
  • Global attractor of the Kirchhoff wave models with strong nonlinear
           damping
    • Authors: Pengyan Ding; Zhijian Yang; Yanan Li
      Pages: 40 - 45
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Pengyan Ding, Zhijian Yang, Yanan Li
      The paper investigates the existence of global attractor of Kirchhoff type equations with strong nonlinear damping: u t t − σ ( ‖ ∇ u ‖ 2 ) Δ u t − ϕ ( ‖ ∇ u ‖ 2 ) Δ u + f ( u ) = h ( x ) . It proves that when the growth exponent p of the nonlinearity f ( u ) is up to the supercritical range: N + 2 N − 2 ≡ p ∗ < p < p ∗ ∗ ≡ N + 4 ( N − 4 ) + ( N ≥ 3 ) , the related solution semigroup still has a global attractor (rather than a partially strong one as known before) in natural energy space.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.008
      Issue No: Vol. 76 (2017)
       
  • A remark on stationary distribution of a stochastic SIR epidemic model
           with double saturated rates
    • Authors: Yan Zhang; Kuangang Fan; Shujing Gao; Shihua Chen
      Pages: 46 - 52
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Yan Zhang, Kuangang Fan, Shujing Gao, Shihua Chen
      In this paper, we propose and discuss a stochastic SIR epidemic model with saturated treatment and incidence rates. The existence and uniqueness of the global positive solution are achieved. By constructing suitable Lyapunov functions and using Khasminskii’s theory, we establish appropriate conditions to prove that the stochastic model has a unique stationary distribution and the ergodicity holds. Moreover, sufficient conditions that guarantee the epidemic disease’s extinction are given.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.08.002
      Issue No: Vol. 76 (2017)
       
  • Multiple solutions for the fractional Laplacian problems with different
           asymptotic limits near infinity
    • Authors: Yutong Chen; Jiabao Su
      Pages: 60 - 65
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Yutong Chen, Jiabao Su
      In this paper we obtain the existence of two one-sign nontrivial solutions for the fractional Laplacian equations with the nonlinearity having different asymptotic limits at infinity via the mountain pass theorem and the cut-off techniques.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.012
      Issue No: Vol. 76 (2017)
       
  • Lower bounds for the blow-up time to a nonlinear viscoelastic wave
           equation with strong damping
    • Authors: Xiaoming Peng; Yadong Shang; Xiaoxiao Zheng
      Pages: 66 - 73
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Xiaoming Peng, Yadong Shang, Xiaoxiao Zheng
      This paper deals with a nonlinear viscoelastic wave equation with strong damping. Under certain conditions on the initial data and the relaxation function, a lower bound for the blow-up time is given by means of a first order differential inequality technique.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.08.003
      Issue No: Vol. 76 (2017)
       
  • On optimal convergence rates of a two-dimensional fast multipole method
    • Authors: Shuhuang Xiang; Guidong Liu
      Pages: 74 - 80
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Shuhuang Xiang, Guidong Liu
      The optimal convergence rates on fast multipole methods (FMMs) for different Green’s functions are considered. Simpler convergence analysis and the more accurate convergence rates are presented.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.08.005
      Issue No: Vol. 76 (2017)
       
  • Eigenvalue ratios for Schrödinger operators with indefinite
           potentials
    • Authors: Jamel Ben Amara; Jihed Hedhly
      Pages: 96 - 102
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Jamel Ben Amara, Jihed Hedhly
      We consider the Schrödinger equation − y ′ ′ + q ( x ) y = λ y , on a finite interval with Dirichlet boundary conditions, where q ( x ) is of indefinite sign. In the case of symmetric potentials, we prove the optimal lower bound λ n λ 1 ≥ n 2 (resp. upper bound λ n λ 1 ≤ n 2 ) for single-well q with λ 1 > 0 and μ 1 ≤ 0 (resp. single-barrier q and μ 1 ≥ 0 ), where μ 1 is the first eigenvalue of the Neumann boundary problem. In the case of nonsymmetric potentials, we prove the optimal lower bound λ 2 λ 1 ≥ 4 for single-well q with transition point at x = 1 2 , λ 1 > 0 and μ = max ( μ ˆ 1 , μ ̃ 1 ) ≤ 0 , where μ ˆ 1 and μ ̃ 1 are the first eigenvalues of the Neumann boundary problems defined on [ 0 , 1 2 ] and [ 1 2 , 1 ] , respectively.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.006
      Issue No: Vol. 76 (2017)
       
  • A new spectral problem and the related integrable nonlinear evolution
           equations
    • Authors: Xiao Yang; Dianlou Du
      Pages: 110 - 116
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Xiao Yang, Dianlou Du
      A new spectral problem is introduced, which is indicated to be the negative counterpart of the mKdV spectral problem. Based on the fact, some integrable nonlinear evolution equations are obtained, including the derivative Schwarzian KdV equation, the mKdV5 equation and the sine–Gordon equation. Besides, Lax pairs and finite genus solutions of the equations are given.

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.010
      Issue No: Vol. 76 (2017)
       
  • Finite-time blowup for the 3-D primitive equations of oceanic and
           atmospheric dynamics
    • Authors: Lin Zheng; Shu Wang
      Pages: 117 - 122
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Lin Zheng, Shu Wang
      In this paper we prove that for certain class of the initial data, the corresponding solutions of the 3-D viscous primitive equations without viscosity blow up in finite time. We find a specific solution to simplify the three dimensional systems, and furthermore, we construct a self-similar solution to solve the blow-up problem.

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.007
      Issue No: Vol. 76 (2017)
       
  • Non-monotonic blow-up problems: Test problems with solutions in elementary
           functions, numerical integration based on non-local transformations
    • Authors: Andrei D. Polyanin; Inna K. Shingareva
      Pages: 123 - 129
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Andrei D. Polyanin, Inna K. Shingareva
      We consider blow-up problems having non-monotonic singular solutions that tend to infinity at a previously unknown point. For second-, third-, and fourth-order nonlinear ordinary differential equations, the corresponding multi-parameter test problems allowing exact solutions in elementary functions are proposed for the first time. A method of non-local transformations, that allows to numerically integrate non-monotonic blow-up problems, is described. A comparison of exact and numerical solutions showed the high efficiency of this method. It is important to note that the method of non-local transformations can be useful for numerical integration of other problems with large solution gradients (for example, in problems with solutions of boundary-layer type).

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.009
      Issue No: Vol. 76 (2017)
       
  • Scaling invariant regularity criteria for the
           Navier–Stokes–Maxwell system
    • Authors: Caochuan Ma; Zaihong Jiang; Mingxuan Zhu
      Pages: 130 - 134
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Caochuan Ma, Zaihong Jiang, Mingxuan Zhu
      In this paper, we establish some scaling invariant regularity criteria for the Navier–Stokes–Maxwell system.

      PubDate: 2017-09-14T00:47:43Z
      DOI: 10.1016/j.aml.2017.08.011
      Issue No: Vol. 76 (2017)
       
  • Analytical properties of the perturbed FitzHugh–Nagumo model
    • Authors: Nikolay A. Kudryashov; Roman B. Rybka; Aleksander G. Sboev
      Pages: 142 - 147
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Nikolay A. Kudryashov, Roman B. Rybka, Aleksander G. Sboev
      Analytical properties of the well-known FitzHugh–Nagumo model are studied. It is shown that the standard FitzHugh–Nagumo model does not pass the Painlevé test in the general case and does not have any meromorphic solutions because there are not any expansions of the general solution in the Laurent series. We demonstrate that the introduction of a nonlinear perturbation into the standard system of equations does not lead to the Painlevé property as well. However, in this case there are expansions of the general solution of the system of equations in the Laurent series for some values of parameters. This allows us to look for some exact solutions of the system of the perturbed FitzHugh–Nagumo model. We find some exact solutions of the perturbed FitzHugh–Nagumo system of equations in the form of kinks. These exact solutions can be used for testing numerical simulations of the system of equations corresponding to the FitzHugh–Nagumo model.

      PubDate: 2017-09-20T00:55:53Z
      DOI: 10.1016/j.aml.2017.08.013
      Issue No: Vol. 76 (2017)
       
  • Nonlinear Choquard equations: Doubly critical case
    • Authors: Jinmyoung Seok
      Pages: 148 - 156
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Jinmyoung Seok
      Consider nonlinear Choquard equations − Δ u + u = ( I α ∗ F ( u ) ) F ′ ( u ) in  R N , lim x → ∞ u ( x ) = 0 , where I α denotes Riesz potential and α ∈ ( 0 , N ) . In this paper, we show that when F is doubly critical, i.e. F ( u ) = N N + α u N + α N + N − 2 N + α u N + α N − 2 , the nonlinear Choquard equation admits a nontrivial solution if N ≥ 5 and α + 4 < N .

      PubDate: 2017-09-20T00:55:53Z
      DOI: 10.1016/j.aml.2017.08.016
      Issue No: Vol. 76 (2017)
       
  • Analysis of the Gibbs phenomenon in stationary subdivision schemes
    • Authors: Sergio Amat; Juan Ruiz; J. Carlos Trillo; Dionisio F. Yáñez
      Pages: 157 - 163
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Sergio Amat, Juan Ruiz, J. Carlos Trillo, Dionisio F. Yáñez
      In this paper sufficient conditions to determine if a stationary subdivision scheme produces Gibbs oscillations close to discontinuities are presented. It consists of the positivity of the partial sums of the values of the mask. We apply the conditions to non-negative masks and analyze (numerically when the sufficient conditions are not satisfied) the Gibbs phenomenon in classical and recent subdivision schemes like B-splines, Deslauriers and Dubuc interpolation subdivision schemes and the schemes proposed in Siddiqi and Ahmad (2008).

      PubDate: 2017-09-20T00:55:53Z
      DOI: 10.1016/j.aml.2017.08.014
      Issue No: Vol. 76 (2017)
       
  • Attractivity for fractional differential equations in Banach space
    • Authors: Yong Zhou
      Pages: 1 - 6
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Yong Zhou
      In this paper, we initiate the question of attractivity of solutions for fractional differential equations in abstract space. We establish sufficient conditions for the existence of globally attractive solutions for the Cauchy problems. Our results essentially reveal the characteristics of solutions for fractional differential equations with the Riemann–Liouville derivative.

      PubDate: 2017-07-12T02:41:55Z
      DOI: 10.1016/j.aml.2017.06.008
      Issue No: Vol. 75 (2017)
       
  • Local super-quadratic conditions on homoclinic solutions for a
           second-order Hamiltonian system
    • Authors: Xiaoping Wang
      Pages: 7 - 12
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Xiaoping Wang
      In this paper, we study the homoclinic solutions of the following second-order Hamiltonian system u ̈ − L ( t ) u + ∇ W ( t , u ) = 0 , where t ∈ R , u ∈ R N , L : R → R N × N and W : R × R N → R . Applying the Mountain Pass Theorem, we prove the existence of nontrivial homoclinic solutions under new weaker conditions. In particular, we use a local super-quadratic condition lim x → ∞ W ( t , x ) x 2 = ∞ , uniformly in t ∈ ( a , b ) for some − ∞ < a < b < + ∞ , instead of the common one lim x → ∞ W ( t , x ) x 2 = ∞ , uniformly in t ∈ R , which is essential to show the existence of nontrivial homoclinic solutions for the above system in all existing literature.

      PubDate: 2017-07-12T02:41:55Z
      DOI: 10.1016/j.aml.2017.06.009
      Issue No: Vol. 75 (2017)
       
  • On some polyharmonic elliptic equation with discontinuous and increasing
           nonlinearities
    • Authors: Sami Aouaoui
      Pages: 13 - 17
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Sami Aouaoui
      In this paper, we establish the existence of at least one nontrivial solution for a nonhomogeneous polyharmonic problem whose nonlinearity term is not necessarily continuous. Our main tool is a fixed point theorem for Banach semilattice.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.06.011
      Issue No: Vol. 75 (2017)
       
  • Nonlocal symmetries and interaction solutions of the Benjamin–Ono
           equation
    • Authors: Yueyue Li; Hengchun Hu
      Pages: 18 - 23
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Yueyue Li, Hengchun Hu
      The nonlocal symmetries for the Benjamin–Ono equation are obtained with the truncated Painlevé method. The nonlocal symmetries can be localized to the Lie point symmetries by introducing auxiliary dependent variables. The finite symmetry transformations related to the nonlocal symmetries are computed. The Benjamin–Ono equation is proved to be consistent Riccati solvable and many interaction solutions among solitons and other types of nonlinear excitations can be obtained by means of the consistent tanh expansion method with arbitrary constants.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.06.012
      Issue No: Vol. 75 (2017)
       
  • Simple waves of the two dimensional compressible Euler equations in
           magnetohydrodynamics
    • Authors: Jianjun Chen; Wancheng Sheng
      Pages: 24 - 29
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Jianjun Chen, Wancheng Sheng
      In this paper, we are concerned with the simple waves for the two dimensional (2D) compressible Euler equations in magnetohydrodynamics. By using the sufficient conditions for the existence of characteristic decompositions to the general quasilinear strictly hyperbolic systems, we establish that any wave adjacent to a constant state must be a simple wave to the two dimensional compressible magnetohydrodynamics system for a polytropic Van der Waals gas and a polytropic perfect gas.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.05.023
      Issue No: Vol. 75 (2017)
       
  • Spacial inhomogeneity and nonlinear tunneling for the forced KdV equation
    • Authors: Xin Yu; Zhi-Yuan Sun; Kai-Wen Zhou; Yu-Jia Shen
      Pages: 30 - 36
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Xin Yu, Zhi-Yuan Sun, Kai-Wen Zhou, Yu-Jia Shen
      A variable-coefficient forced Korteweg–de Vries equation with spacial inhomogeneity is investigated in this paper. Under constraints, this equation is transformed into its bilinear form, and multi-soliton solutions are derived. Effects of spacial inhomogeneity for soliton velocity, width and background are discussed. Nonlinear tunneling for this equation is presented, where the soliton amplitude can be amplified or compressed. Our results might be useful for the relevant problems in fluids and plasmas.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.05.015
      Issue No: Vol. 75 (2017)
       
  • The regularity criterion for the 3D Navier–Stokes equations involving
           end-point Prodi–Serrin type conditions
    • Authors: Chenyin Qian
      Pages: 37 - 42
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Chenyin Qian
      We consider the Prodi–Serrin type regularity criterion involving ∂ 3 u h and the third component of velocity (or the gradient of velocity). In particular, if the ∂ 3 u h satisfies the end-point Prodi–Serrin type condition, one can show that Leray’s weak solutions of the three-dimensional Navier–Stokes equations become regular with the help of additional assumption on the third component of velocity (or the gradient of velocity field).

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.06.014
      Issue No: Vol. 75 (2017)
       
  • FOV-equivalent block triangular preconditioners for generalized
           saddle-point problems
    • Authors: Eugenio Aulisa; Sara Calandrini; Giacomo Capodaglio
      Pages: 43 - 49
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Eugenio Aulisa, Sara Calandrini, Giacomo Capodaglio
      We present sufficient conditions for field-of-values-equivalence between block triangular preconditioners and generalized saddle-point matrices arising from inf–sup stable finite element discretizations. We generalize a result by Loghin and Wathen (2004) for matrices with a pure saddle-point structure to the case where the ( 2 , 2 ) block is non-zero. Moreover, we extend the analysis to the case where the ( 2 , 1 ) block is not the transpose of the ( 1 , 2 ) block.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.06.018
      Issue No: Vol. 75 (2017)
       
  • The majorant principle applied to Hammerstein integral equations
    • Authors: J.A. Ezquerro; M.A. Hernández-Verón
      Pages: 50 - 58
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): J.A. Ezquerro, M.A. Hernández-Verón
      We use the majorant principle of Kantorovich to analyze the semilocal convergence of Newton’s method when it is applied to some Hammerstein integral equations. Moreover, from using the theoretical significance of the result obtained, we draw conclusions about the existence and uniqueness of solution of the equations. Furthermore, a solution of a Hammerstein integral equation with non-separable kernel is approximated.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.06.017
      Issue No: Vol. 75 (2017)
       
  • Continuity results with respect to domain perturbation for the fractional
           p-Laplacian
    • Authors: Carla Baroncini; Julián Fernández Bonder; Juan F. Spedaletti
      Pages: 59 - 67
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Carla Baroncini, Julián Fernández Bonder, Juan F. Spedaletti
      In this paper, we give sufficient conditions on the approximating domains in order to obtain the continuity of solutions for the fractional p -Laplacian. These conditions are given in terms of the fractional capacity of the approximating domains.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.06.005
      Issue No: Vol. 75 (2017)
       
  • The Roe-type interface flux for conservation laws with discontinuous flux
           function
    • Authors: Guodong Wang; Yanbo Hu
      Pages: 68 - 73
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Guodong Wang, Yanbo Hu
      We consider the scalar conservation laws with discontinuous flux function ( 1 − H ( x ) ) g ( u ) + H ( x ) f ( u ) , where f and g are smooth nonlinear functions, and H ( x ) is the Heaviside function. By entropy solutions of type ( A , B ) , which is defined by Bürger et al. (2009), we introduce a simple and efficient Roe-type interface flux, which is Lipschitz continuous and monotone. Riemann solvers are not involved at the interface x = 0 . In addition, some numerical results are presented to demonstrate the behavior of this interface flux.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.07.001
      Issue No: Vol. 75 (2017)
       
  • A fast algorithm for solving tridiagonal quasi-Toeplitz linear systems
    • Authors: Lei Du; Tomohiro Sogabe; Shao-Liang Zhang
      Pages: 74 - 81
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Lei Du, Tomohiro Sogabe, Shao-Liang Zhang
      In this paper, we consider the solution of tridiagonal quasi-Toeplitz linear systems. By exploiting the special quasi-Toeplitz structure, we give a new decomposition form of the coefficient matrix. Based on this matrix decomposition form and combined with the Sherman–Morrison formula, we propose an efficient algorithm for solving the tridiagonal quasi-Toeplitz linear systems. Although our algorithm takes more floating-point operations (FLOPS) than the L U decomposition method, it needs less memory storage and data transmission and is about twice faster than the L U decomposition method. Numerical examples are given to illustrate the efficiency of our algorithm.

      PubDate: 2017-07-24T10:48:27Z
      DOI: 10.1016/j.aml.2017.06.016
      Issue No: Vol. 75 (2017)
       
  • Solutions of the nonlocal nonlinear Schrödinger hierarchy via
           reduction
    • Authors: Kui Chen; Da-jun Zhang
      Pages: 82 - 88
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Kui Chen, Da-jun Zhang
      In this letter we propose an approach to obtain solutions for the nonlocal nonlinear Schrödinger hierarchy from the known ones of the Ablowitz–Kaup–Newell–Segur hierarchy by reduction. These solutions are presented in terms of double Wronskian and some of them are new. The approach is general and can be used for other systems with double Wronskian solutions which admit local and nonlocal reductions.

      PubDate: 2017-08-03T11:17:52Z
      DOI: 10.1016/j.aml.2017.05.017
      Issue No: Vol. 75 (2017)
       
  • Interval oscillation criteria for forced mixed nonlinear impulsive
           differential equations with variable delay
    • Authors: Xiaoliang Zhou; Wu-Sheng Wang; Ruyun Chen
      Pages: 89 - 95
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Xiaoliang Zhou, Wu-Sheng Wang, Ruyun Chen
      In this paper, the interval qualitative properties of a class of mixed nonlinear impulsive differential equations are studied. Under the hypothesis of delay σ ( t ) being variable, the ratio of functions x ( t − σ ( t ) ) and x ( t ) on each considered interval is estimated, then Riccati transformation and \omega functions are applied to obtain interval oscillation criteria. The results gained by Özbekler and Zafer (2011) for delay σ ( t ) = 0 and by Guo et al. (2012) for delay σ ( t ) being nonnegative constant are developed.

      PubDate: 2017-08-03T11:17:52Z
      DOI: 10.1016/j.aml.2017.06.013
      Issue No: Vol. 75 (2017)
       
  • A diffusive HIV infection model with nonlocal delayed transmission
    • Authors: Wei Wang; Wanbiao Ma
      Pages: 96 - 101
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Wei Wang, Wanbiao Ma
      A diffusive HIV infection model with nonlocal delayed transmission is proposed. In a bounded spatial domain, we investigate threshold dynamics in terms of basic reproduction number ℛ 0 for the heterogeneous model.

      PubDate: 2017-08-03T11:17:52Z
      DOI: 10.1016/j.aml.2017.06.010
      Issue No: Vol. 75 (2017)
       
  • Note on the Lyapunov functional method
    • Authors: Mingxin Wang
      Pages: 102 - 107
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Mingxin Wang
      In this note we introduce a direct approach for the Lyapunov functional method to study the global stability of the unique equilibrium solution of reaction diffusion systems and partially degenerate reaction diffusion systems permitting with delays. We first provide the abstract framework and results. Then we give an example as the application.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.003
      Issue No: Vol. 75 (2017)
       
  • Existence and uniqueness analysis of a non-isothermal cross-diffusion
           system of Maxwell–Stefan type
    • Authors: Harsha Hutridurga; Francesco Salvarani
      Pages: 108 - 113
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Harsha Hutridurga, Francesco Salvarani
      In this article we prove local-in-time existence and uniqueness of solution to a non-isothermal cross-diffusion system with Maxwell–Stefan structure.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.06.007
      Issue No: Vol. 75 (2017)
       
  • N-fold Darboux transformation and discrete soliton solutions for the
           discrete Hirota equation
    • Authors: Xiao-Juan Zhao; Rui Guo; Hui-Qin Hao
      Pages: 114 - 120
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Xiao-Juan Zhao, Rui Guo, Hui-Qin Hao
      In this paper, a discrete Hirota equation is analytically investigated. The N -fold Darboux transformation (DT) is constructed based on the Lax pair for the equation. In addition, the discrete N -soliton solutions under the vanishing background are derived. Especially, the dynamic features of one-soliton and two-soliton solutions are displayed through figures.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.002
      Issue No: Vol. 75 (2017)
       
  • Superlinear elliptic systems with reaction terms involving product of
           powers
    • Authors: M. Chhetri; P. Girg
      Pages: 121 - 127
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): M. Chhetri, P. Girg
      We consider a system of the form − Δ u = λ g 1 ( x , u , v ) in Ω ; − Δ v = λ g 2 ( x , u , v ) in Ω ; u = 0 = v on ∂ Ω , where λ > 0 is a parameter, Ω ⊂ R N ( N ≥ 2 ) is a bounded domain with sufficiently smooth boundary ∂ Ω (a bounded open interval if N = 1 ). Here g i ( x , s , t ) : Ω × [ 0 , + ∞ ) × [ 0 , + ∞ ) → R ( i = 1 , 2 ) are Carathéodory functions that exhibit superlinear growth at infinity involving product of powers of u and v . Using re-scaling argument combined with Leray–Schauder degree theory and a version of Leray–Schauder continuation theorem, we show that the system has a connected set of positive solutions for λ small.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.005
      Issue No: Vol. 75 (2017)
       
  • Long-time dynamics of a von Karman equation with time delay
    • Authors: Sun Hye Park
      Pages: 128 - 134
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Sun Hye Park
      In this paper we consider a von Karman equation with time delay. Many researchers have studied well-posedness, decay rates of energy, and existence of attractors for von Karman equations without delay effects. But there are few works on von Karman equations with time delay. Moreover there are not many studies on attractors for other delayed systems. Thus, we discuss the existence of global attractors for the von Karman equation with time delay by establishing energy functionals which are related to the norm of the phase space to our problem.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.07.004
      Issue No: Vol. 75 (2017)
       
  • Breather-to-soliton transition for a sixth-order nonlinear Schrödinger
           equation in an optical fiber
    • Authors: Qian-Min Huang; Yi-Tian Gao; Lei Hu
      Pages: 135 - 140
      Abstract: Publication date: January 2018
      Source:Applied Mathematics Letters, Volume 75
      Author(s): Qian-Min Huang, Yi-Tian Gao, Lei Hu
      In this letter, breather-to-soliton transition is studied for an integrable sixth-order nonlinear Schrödinger equation in an optical fiber. Constraint for the breather-to-soliton transition is given. Breathers could be transformed into the different types of solitons, which are determined by the values of the real and imaginary parts of the eigenvalues in the Darboux transformation. Interactions of the breathers and breathers, of the breathers and solitons, as well as of the solitons and solitons, are graphically presented.

      PubDate: 2017-09-02T10:41:09Z
      DOI: 10.1016/j.aml.2017.06.015
      Issue No: Vol. 75 (2017)
       
  • Inverse problems for second order integro-differential operators
    • Authors: Vjacheslav Yurko
      Pages: 1 - 6
      Abstract: Publication date: December 2017
      Source:Applied Mathematics Letters, Volume 74
      Author(s): Vjacheslav Yurko
      Inverse spectral problems are studied for the first order integro-differential operators on a finite interval. Properties of spectral characteristic are established, and a constructive algorithm is provided for this class of inverse problems.

      PubDate: 2017-06-06T15:00:28Z
      DOI: 10.1016/j.aml.2017.04.013
      Issue No: Vol. 74 (2017)
       
  • Exact solutions for a coupled discrete nonlinear Schrödinger system with
           a saturation nonlinearity
    • Authors: Qing Zhu; Zhan Zhou; Lin Wang
      Pages: 7 - 14
      Abstract: Publication date: December 2017
      Source:Applied Mathematics Letters, Volume 74
      Author(s): Qing Zhu, Zhan Zhou, Lin Wang
      Deriving exact solutions of nonlinear evolution equations has recently received tremendous attention in mathematics and physics. In this paper, using the ( G ′ ∕ G ) -expansion method, we obtain some exact solutions for a coupled discrete nonlinear Schrödinger system with a saturation nonlinearity. These exact solutions include the hyperbolic function type, trigonometric function type and rational function type, of which the hyperbolic function type solutions may generate kink and anti-kink solitons.

      PubDate: 2017-06-06T15:00:28Z
      DOI: 10.1016/j.aml.2017.05.003
      Issue No: Vol. 74 (2017)
       
  • Blowup for the solutions of the Euler–Poisson equations with damping
    • Authors: Jianli Liu; Yaoli Fang
      Pages: 15 - 19
      Abstract: Publication date: December 2017
      Source:Applied Mathematics Letters, Volume 74
      Author(s): Jianli Liu, Yaoli Fang
      In this short paper, we consider the formation of singularities for the solutions of the Euler–Poisson equations with damping with attractive forces in R n ( n ≥ 1 ) and the repulsive forces in R . Under the appropriate assumptions on initial data, we can obtain the divergence of the velocity will blowup in the finite time.

      PubDate: 2017-06-06T15:00:28Z
      DOI: 10.1016/j.aml.2017.05.008
      Issue No: Vol. 74 (2017)
       
  • Non-Nehari manifold method for a class of generalized quasilinear
           Schrödinger equations
    • Authors: Jianhua Chen; Xianhua Tang; Bitao Cheng
      Pages: 20 - 26
      Abstract: Publication date: December 2017
      Source:Applied Mathematics Letters, Volume 74
      Author(s): Jianhua Chen, Xianhua Tang, Bitao Cheng
      In this paper, we study the following generalized quasilinear Schrödinger equation − d i v ( g 2 ( u ) ∇ u ) + g ( u ) g ′ ( u ) ∇ u 2 + V ( x ) u = f ( x , u ) , x ∈ R N , where N ≥ 3 , 2 ∗ = 2 N N − 2 , g ∈ C 1 ( R , R + ) , V ( x ) and f ( x , u ) are 1-periodic on x . By using a change of variable, we obtain the existence of ground states solutions. Unlike the Nahari manifold method, the main idea of our approach lies on finding a minimizing Cerami sequence for the energy functional outside the manifold by using the diagonal method.

      PubDate: 2017-06-11T15:09:32Z
      DOI: 10.1016/j.aml.2017.04.032
      Issue No: Vol. 74 (2017)
       
  • Minimal wave speed of competitive diffusive systems with time delays
    • Authors: Guo Lin
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Guo Lin
      This paper is concerned with the minimal wave speed of competitive diffusive systems, of which the corresponding wave system is of infinite dimensional. By constructing upper and lower solutions, the existence of traveling wave solutions is confirmed, which shows the minimal wave speed. Therefore, it completes the known results.

      PubDate: 2017-09-20T00:55:53Z
       
  • Radial solutions for quasilinear Schrödinger equations without
           4-superlinear condition
    • Authors: Xian
      Abstract: Publication date: February 2018
      Source:Applied Mathematics Letters, Volume 76
      Author(s): Ke Wu, Xian Wu
      We consider the existence of radial solutions for the quasilinear Schrödinger equation − △ u + V ( x ) u − κ u △ u 2 = u p − 2 u , x ∈ R N . where κ > 0 , N ≥ 3 , 2 < p < 2 2 ∗ and V ∈ C 1 ( R ) . Here we are interested in the case that 2 < p ≤ 4 since the existence of solutions for 4 < p < 2 2 ∗ can be easily obtained by a standard variational argument. Our method is based on the Pohožaev type identity.

      PubDate: 2017-09-02T10:41:09Z
       
 
 
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