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  Subjects -> MATHEMATICS (Total: 867 journals)
    - APPLIED MATHEMATICS (69 journals)
    - GEOMETRY AND TOPOLOGY (19 journals)
    - MATHEMATICS (645 journals)
    - MATHEMATICS (GENERAL) (40 journals)
    - NUMERICAL ANALYSIS (19 journals)
    - PROBABILITIES AND MATH STATISTICS (75 journals)

MATHEMATICS (645 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: 21)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 10)
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: 5)
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: 16)
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: 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: 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   (Followers: 1)
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: 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: 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 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: 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   (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: 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: 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: 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: 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: 17)
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: 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)
Foundations and Trends® in Econometrics     Full-text available via subscription   (Followers: 4)

        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  [3031 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)
       
  • On invariance of schemes in the method of fundamental solutions
    • Authors: Koya Sakakibara; Shigetoshi Yazaki
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Koya Sakakibara, Shigetoshi Yazaki
      Method of fundamental solutions (MFS) is a meshfree numerical solver for linear homogeneous partial differential equations, and it has been applied to several problems. It is well known that some numerical solutions by MFS do not satisfy invariance properties, which is unnatural from viewpoint of physics. In this paper, we propose a unified way to obtain invariant schemes for MFS. The key idea is to introduce scaling factors.

      PubDate: 2017-05-18T09:36:21Z
      DOI: 10.1016/j.aml.2017.04.018
      Issue No: Vol. 73 (2017)
       
  • A note on the stationary distribution of the stochastic chemostat model
           with general response functions
    • Authors: Liang Wang; Daqing Jiang
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Liang Wang, Daqing Jiang
      A model of the chemostat involving stochastic perturbation is considered. Instead of assuming the familiar Monod kinetics for nutrient uptake, a general class of functions is used which includes both monotone and non-monotone uptake functions. Using the stochastic Lyapunov analysis method, under restrictions on the intensity of the noise, we show the existence of a stationary distribution and the ergodicity of the stochastic system.

      PubDate: 2017-05-18T09:36:21Z
      DOI: 10.1016/j.aml.2017.04.029
      Issue No: Vol. 73 (2017)
       
  • Asymptotic behavior for a generalized micropolar thermoelastic body
    • Authors: Marcio V. Ferreira; Jaime E. Muñoz Rivera; Amelie Rambaud; Octavio Vera
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Marcio V. Ferreira, Jaime E. Muñoz Rivera, Amélie Rambaud, Octavio Vera
      The paper establishes the exponential stability of a micropolar thermoelastic homogeneous and linear body with frictional dissipation and thermal conduction of hyperbolic type, allowing for second sound. Existence and uniqueness are proved within the semigroup framework and stability is achieved thanks to a suitable Lyapunov functional.

      PubDate: 2017-05-18T09:36:21Z
      DOI: 10.1016/j.aml.2017.04.025
      Issue No: Vol. 73 (2017)
       
  • Upper bounds of blow-up time and blow-up rate for a semi-linear
           edge-degenerate parabolic equation
    • Authors: Guangyu Xu; Jun Zhou
      Pages: 1 - 7
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Guangyu Xu, Jun Zhou
      This paper gives the upper bounds of blow-up time and blow-up rate for a semi-linear edge-degenerate parabolic equation, and the results extend the results of a recent paper Chen and Liu (2016).

      PubDate: 2017-05-08T11:09:26Z
      DOI: 10.1016/j.aml.2017.04.022
      Issue No: Vol. 73 (2017)
       
  • Stationary distribution and extinction of a stochastic SIR model with
           nonlinear perturbation
    • Authors: Qun Liu; Daqing Jiang
      Pages: 8 - 15
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Qun Liu, Daqing Jiang
      In this paper, we analyze a stochastic SIR model with nonlinear perturbation. By the Lyapunov function method, we establish sufficient conditions for the existence of a unique ergodic stationary distribution of the model. Moreover, sufficient conditions for extinction of the disease are also obtained.

      PubDate: 2017-05-08T11:09:26Z
      DOI: 10.1016/j.aml.2017.04.021
      Issue No: Vol. 73 (2017)
       
  • Reconstructing a second-order Sturm–Liouville operator by an energetic
           boundary function iterative method
    • Authors: Chein-Shan Liu; Botong Li
      Pages: 49 - 55
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Chein-Shan Liu, Botong Li
      We consider an inverse problem for reconstructing the second-order Sturm–Liouville operator with the help of boundary data. The concept of energetic boundary functions, which satisfy the given boundary conditions and preserve the energy, is introduced for the first time. Then, we can derive a linear system to recover the unknown important coefficients of leading coefficient and potential function through a few iterations. Two examples are given to verify the iterative method.

      PubDate: 2017-05-18T09:36:21Z
      DOI: 10.1016/j.aml.2017.04.023
      Issue No: Vol. 73 (2017)
       
  • Cahn–Hilliard on surfaces: A numerical study
    • Authors: P. Gera; D. Salac
      Pages: 56 - 61
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): P. Gera, D. Salac
      The Cahn–Hilliard system has been used to describe a wide number of phase separation processes, from co-polymer systems to lipid membranes. In this work the convergence properties of a closest-point based scheme are investigated. In place of solving the original fourth-order system directly, two coupled second-order systems are solved. The system is solved using an approximate Schur-decomposition as a preconditioner. The results indicate that with a sufficiently high-order time discretization the method only depends on the underlying spatial resolution.

      PubDate: 2017-05-18T09:36:21Z
      DOI: 10.1016/j.aml.2017.02.021
      Issue No: Vol. 73 (2017)
       
  • Recovering the initial distribution for strongly damped wave equation
    • Authors: Nguyen Huy Tuan; Doan Vuong Nguyen; Vo Van Au; Daniel Lesnic
      Pages: 69 - 77
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Nguyen Huy Tuan, Doan Vuong Nguyen, Vo Van Au, Daniel Lesnic
      We study for the first time the inverse backward problem for the strongly damped wave equation. First, we show that the problem is severely ill-posed in the sense of Hadamard. Then, under the a priori assumption on the exact solution belonging to a Gevrey space, we propose the Fourier truncation method for stabilizing the ill-posed problem. A stability estimate of logarithmic type is established.

      PubDate: 2017-05-18T09:36:21Z
      DOI: 10.1016/j.aml.2017.04.014
      Issue No: Vol. 73 (2017)
       
  • Towards physically admissible reduced-order solutions for
           convection–diffusion problems
    • Authors: Swetlana Giere; Volker John
      Pages: 78 - 83
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Swetlana Giere, Volker John
      This note proposes, analyzes, and studies numerically a regularization approach in the computation of the initial condition for reduced-order models (ROMs) of convection–diffusion equations. The aim of this approach consists in reducing significantly spurious oscillations in the ROM solutions.

      PubDate: 2017-05-18T09:36:21Z
      DOI: 10.1016/j.aml.2017.03.022
      Issue No: Vol. 73 (2017)
       
  • Double-step scale splitting iteration method for a class of complex
           symmetric linear systems
    • Authors: Zhong Zheng; Feng-Lin Huang; Yu-Cheng Peng
      Pages: 91 - 97
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Zhong Zheng, Feng-Lin Huang, Yu-Cheng Peng
      In this paper, a double-step scale splitting (DSS) iteration method is proposed to solve a class of complex symmetric of linear equation. Unconditional convergence result is established under appropriate restrictions. Two reciprocal optimal iteration parameters and the corresponding optimal convergence factor are also determined. Numerical experiments on a few model problems are used to verify the effectiveness of the DSS iteration method.

      PubDate: 2017-05-23T05:15:43Z
      DOI: 10.1016/j.aml.2017.04.017
      Issue No: Vol. 73 (2017)
       
  • Multiple solutions for the fourth-order elliptic equation with vanishing
           potential
    • Authors: Wen Zhang; Jian Zhang; Zhiming Luo
      Pages: 98 - 105
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Wen Zhang, Jian Zhang, Zhiming Luo
      This paper is concerned with the following fourth-order elliptic equation Δ 2 u − Δ u + V ( x ) u = K ( x ) f ( u ) + μ ξ ( x ) u p − 2 u , x ∈ R N , u ∈ H 2 ( R N ) , where Δ 2 ≔ Δ ( Δ ) is the biharmonic operator, N ≥ 5 , V , K are nonnegative continuous functions and f is a continuous function with a quasicritical growth. By working in weighted Sobolev spaces and using a variational method, we prove that the above equation has two nontrivial solutions.

      PubDate: 2017-05-23T05:15:43Z
      DOI: 10.1016/j.aml.2017.04.030
      Issue No: Vol. 73 (2017)
       
  • Numerical approximation of the basic reproduction number for a class of
           age-structured epidemic models
    • Authors: Toshikazu Kuniya
      Pages: 106 - 112
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Toshikazu Kuniya
      We are concerned with the numerical approximation of the basic reproduction number R 0 , which is the well-known epidemiological threshold value defined by the spectral radius of the next generation operator. For a class of age-structured epidemic models in infinite-dimensional spaces, R 0 has the abstract form and cannot be explicitly calculated in general. We discretize the linearized equation for the infective population into a system of ordinary differential equations in a finite n -dimensional space and obtain a corresponding threshold value R 0 , n , which can be explicitly calculated as the positive dominant eigenvalue of the next generation matrix. Under the compactness of the next generation operator, we show that R 0 , n → R 0 as n → + ∞ in terms of the spectral approximation theory.

      PubDate: 2017-05-23T05:15:43Z
      DOI: 10.1016/j.aml.2017.04.031
      Issue No: Vol. 73 (2017)
       
  • Discontinuous Galerkin methods for the incompressible flow with nonlinear
           leak boundary conditions of friction type
    • Authors: Feifei Jing; Jian Li; Zhangxin Chen; Wenjing Yan
      Pages: 113 - 119
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Feifei Jing, Jian Li, Zhangxin Chen, Wenjing Yan
      This work aims at employing the discontinuous Galerkin (DG) methods for the incompressible flow with nonlinear leak boundary conditions of friction type, whose continuous variational problem is an inequality due to the subdifferential property of such boundary conditions. Error estimates are derived for the velocity and pressure in the corresponding norms, this work ends with numerical results to demonstrate the theoretically predicted convergence orders and reflect the leak or non-leak phenomena.

      PubDate: 2017-05-23T05:15:43Z
      DOI: 10.1016/j.aml.2017.03.017
      Issue No: Vol. 73 (2017)
       
  • Fourth-order numerical method for the space–time tempered fractional
           diffusion-wave equation
    • Authors: Mehdi Dehghan; Mostafa Abbaszadeh; Weihua Deng
      Pages: 120 - 127
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Mehdi Dehghan, Mostafa Abbaszadeh, Weihua Deng
      The main aim of the current paper is to develop a high-order numerical scheme to solve the space–time tempered fractional diffusion-wave equation. The convergence order of the proposed method is O ( τ 2 + h 4 ) . Also, we prove the unconditional stability and convergence of the developed method. The numerical results show the efficiency of the provided numerical scheme.

      PubDate: 2017-05-23T05:15:43Z
      DOI: 10.1016/j.aml.2017.04.011
      Issue No: Vol. 73 (2017)
       
  • Shooting-projection method for two-point boundary value problems
    • Authors: Stefan M. Filipov; Ivan D. Gospodinov; István Faragó
      Pages: 10 - 15
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Stefan M. Filipov, Ivan D. Gospodinov, István Faragó
      This paper presents a novel shooting method for solving two-point boundary value problems for second order ordinary differential equations. The method works as follows: first, a guess for the initial condition is made and an integration of the differential equation is performed to obtain an initial value problem solution; then, the end value of the solution is used in a simple iteration formula to correct the initial condition; the process is repeated until the second boundary condition is satisfied. The iteration formula is derived utilizing an auxiliary function that satisfies both boundary conditions and minimizes the H 1 semi-norm of the difference between itself and the initial value problem solution.

      PubDate: 2017-04-26T03:00:50Z
      DOI: 10.1016/j.aml.2017.04.002
      Issue No: Vol. 72 (2017)
       
  • On local quadratic convergence of inexact simplified Jacobi–Davidson
           method for interior eigenpairs of Hermitian eigenproblems
    • Authors: Zhong-Zhi Bai; Cun-Qiang Miao
      Pages: 23 - 28
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Zhong-Zhi Bai, Cun-Qiang Miao
      For the Hermitian eigenproblems, under proper assumption on an initial approximation to the desired eigenvector, we prove local quadratic convergence of the inexact simplified Jacobi–Davidson method when the involved relaxed correction equation is solved by a standard Krylov subspace iteration, which particularly leads to local cubic convergence when the relaxed correction equation is solved to a prescribed precision proportional to the norm of the current residual. These results are valid for the interior as well as the extreme eigenpairs of the Hermitian eigenproblem and, hence, generalize the results by Bai and Miao (2017) from the extreme eigenpairs to the interior ones.

      PubDate: 2017-04-26T03:00:50Z
      DOI: 10.1016/j.aml.2017.03.021
      Issue No: Vol. 72 (2017)
       
  • Oscillation criteria for second order superlinear dynamic equations with
           oscillating coefficients
    • Authors: Hongwu Wu; Baoguo Jia; Lynn Erbe
      Pages: 29 - 34
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Hongwu Wu, Baoguo Jia, Lynn Erbe
      This paper is concerned with oscillation of second order superlinear dynamic equations with oscillating coefficients. By using generalized Riccati transformations, oscillation theorems are obtained on an arbitrary time scale. We illustrate the versatility of our results by means of examples.

      PubDate: 2017-05-03T10:58:55Z
      DOI: 10.1016/j.aml.2017.04.006
      Issue No: Vol. 72 (2017)
       
  • An efficient method for solving a class of nonlocal boundary value
           problems and error estimate
    • Authors: T.C. Hao; F.Z. Cong
      Pages: 42 - 49
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): T.C. Hao, F.Z. Cong
      In this paper, we propose an efficient method for solving a class of BVPs with nonlocal boundary conditions. The main idea of our method is to obtain the approximate solutions by series representation via suitable base functions. We prove the convergence of the proposed method and give the error estimate. The proposed method is applied to solve two BVPs. The numerical results show that our algorithm is better as compared to the existing ones. Furthermore, our method can deal with linear and nonlinear problems both efficiently.

      PubDate: 2017-05-03T10:58:55Z
      DOI: 10.1016/j.aml.2017.04.005
      Issue No: Vol. 72 (2017)
       
  • Positive solutions for semipositone (k,n−k) conjugate boundary value
           problems with singularities on space variables
    • Authors: Xingqiu Zhang; Zhuyan Shao; Qiuyan Zhong
      Pages: 50 - 57
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Xingqiu Zhang, Zhuyan Shao, Qiuyan Zhong
      In this article, integrations of height functions of the nonlinear term on some special bounded sets are employed to investigate the existence and multiplicity of positive solutions for semipositone ( k , n − k ) conjugate boundary value problems. The interesting point lies in that singularities of the nonlinearity are related to both the time and the space variables.

      PubDate: 2017-05-03T10:58:55Z
      DOI: 10.1016/j.aml.2017.04.007
      Issue No: Vol. 72 (2017)
       
  • Existence of nonoscillatory solutions for fractional neutral differential
           equations
    • Authors: Yong Zhou; Bashir Ahmad; Ahmed Alsaedi
      Pages: 70 - 74
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Yong Zhou, Bashir Ahmad, Ahmed Alsaedi
      In this paper, we present sufficient conditions for the existence of nonoscillatory solutions of the following fractional neutral functional differential equation D t α [ x ( t ) − c x ( t − τ ) ] + ∑ i = 1 m P i ( t ) x ( t − σ i ) = 0 , t ≥ t 0 , where D t α is Liouville fractional derivatives of order α ∈ [ 1 , + ∞ ) on the half-axis, c , τ , σ i ∈ ( 0 , + ∞ ) , P i ∈ C ( [ t 0 , + ∞ ) , R ) , m ≥ 1 is an integer.

      PubDate: 2017-05-08T11:09:26Z
      DOI: 10.1016/j.aml.2017.04.016
      Issue No: Vol. 72 (2017)
       
  • Novel kinetically consistent algorithm for magneto gas dynamics
    • Authors: Boris N. Chetverushkin; Nicola D’Ascenzo; Andrei V. Saveliev; Valeri I. Saveliev
      Pages: 75 - 81
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Boris N. Chetverushkin, Nicola D’Ascenzo, Andrei V. Saveliev, Valeri I. Saveliev
      We propose a new kinetically consistent method for the modelling of magneto gas dynamic processes. The algorithm is consistent with viscous, thermally conducting, resistive flows. Through a computational test we show that it is robust in resolving the physical behaviour of shock structures and instabilities.

      PubDate: 2017-05-08T11:09:26Z
      DOI: 10.1016/j.aml.2017.04.015
      Issue No: Vol. 72 (2017)
       
  • Necessary and sufficient conditions for the nonexistence of limit cycles
           of Leslie–Gower predator–prey models
    • Authors: Zhang Daoxiang; Ping Yan
      Pages: 1 - 5
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Zhang Daoxiang, Ping Yan
      In this paper we consider a predator–prey model with Leslie–Gower functional response. We present the necessary and sufficient conditions for the nonexistence of limit cycles by the application of the generalized Dulac theorem. As a result, we give the necessary and sufficient conditions for which the local asymptotic stability of the positive equilibrium implies the global stability for this model. Our results extend and improve the results presented by Aghajani and Moradifam (2006) and Hsu and Huang (1995).

      PubDate: 2017-04-05T13:09:28Z
      DOI: 10.1016/j.aml.2017.03.008
      Issue No: Vol. 71 (2017)
       
  • One-dimensional model of a suspension bridge: Revision of uniqueness
           results
    • Authors: Gabriela Holubová; Jakub Janoušek
      Pages: 6 - 13
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Gabriela Holubová, Jakub Janoušek
      This paper brings a revision of the so far known uniqueness result for a one-dimensional damped model of a suspension bridge. Using standard techniques, however with finer arguments, we provide a significant improvement and extension of the allowed interval for the stiffness parameter.

      PubDate: 2017-04-05T13:09:28Z
      DOI: 10.1016/j.aml.2017.03.011
      Issue No: Vol. 71 (2017)
       
  • Constitutive-relation-error-based a posteriori error bounds for a class of
           elliptic variational inequalities
    • Authors: Mengwu Guo; Hongzhi Zhong
      Pages: 14 - 23
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Mengwu Guo, Hongzhi Zhong
      On the basis of the dual variational formulation of a class of elliptic variational inequalities, a constitutive relation error is defined for the variational inequalities as an a posteriori error estimator, which is shown to guarantee strict upper bounds of the global energy-norm errors of kinematically admissible solutions. A numerical example is presented to validate the strictly bounding property of the constitutive relation error for the variational inequalities in question.

      PubDate: 2017-04-05T13:09:28Z
      DOI: 10.1016/j.aml.2017.03.007
      Issue No: Vol. 71 (2017)
       
  • Existence and uniqueness of positive periodic solutions for a class of
           integral equations with mixed monotone nonlinear terms
    • Authors: Shugui Kang
      Pages: 24 - 29
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Shugui Kang
      We study the existence and the uniqueness of positive periodic solutions for a class of integral equationsof the form ϕ ( x ) = ∫ [ x , x + ω ] ∩ G K ( x , y ) [ f 1 ( y , ϕ ( y − τ ( y ) ) ) + f 2 ( y , ϕ ( y − τ ( y ) ) ) ] d y , x ∈ G , where G is a closed subset of R N with periodic structure. Our analysis relies on the fixed point theory for mixed monotone operator in Banach space.

      PubDate: 2017-04-05T13:09:28Z
      DOI: 10.1016/j.aml.2017.03.013
      Issue No: Vol. 71 (2017)
       
  • Growth rates of solutions of superlinear ordinary differential equations
    • Authors: John A.D. Appleby; Denis D. Patterson
      Pages: 30 - 37
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): John A.D. Appleby, Denis D. Patterson
      In this letter, we obtain sharp estimates on the growth rate of solutions to a nonlinear ODE with a nonautonomous forcing term. The equation is superlinear in the state variable and hence solutions exhibit rapid growth and finite-time blow-up. The importance of ODEs of the type considered here stems from the key role they play in understanding the asymptotic behaviour of more complex systems involving delay and randomness.

      PubDate: 2017-04-05T13:09:28Z
      DOI: 10.1016/j.aml.2017.03.012
      Issue No: Vol. 71 (2017)
       
  • Models of space-fractional diffusion: A critical review
    • Authors: Ferenc Izsák; Béla J. Szekeres
      Pages: 38 - 43
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Ferenc Izsák, Béla J. Szekeres
      Space-fractional diffusion problems are investigated from the modeling point of view. It is pointed out that the elementwise power of the Laplacian operator in R n is an inadequate model of fractional diffusion. Also, the approach with fractional calculus using zero extension is not a proper model of homogeneous Dirichlet boundary conditions. At the time, the spectral definition of the fractional Dirichlet Laplacian seems to be in many aspects a proper model of fractional diffusion.

      PubDate: 2017-04-05T13:09:28Z
      DOI: 10.1016/j.aml.2017.03.006
      Issue No: Vol. 71 (2017)
       
  • Inviscid traveling waves of monostable nonlinearity
    • Authors: Sunho Choi; Jaywan Chung; Yong-Jung Kim
      Pages: 51 - 58
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Sunho Choi, Jaywan Chung, Yong-Jung Kim
      Inviscid traveling waves are ghost-like phenomena that do not appear in reality because of their instability. However, they are the reason for the complexity of the traveling wave theory of reaction–diffusion equations and understanding them will help to resolve related puzzles. In this article, we obtain the existence, the uniqueness and the regularity of inviscid traveling waves under a general monostable nonlinearity that includes non-Lipschitz continuous reaction terms. Solution structures are obtained such as the thickness of the tail and the free boundaries.

      PubDate: 2017-04-19T13:21:54Z
      DOI: 10.1016/j.aml.2017.03.019
      Issue No: Vol. 71 (2017)
       
  • Existence of periodic solutions in a nonautonomous food web with
           Beddington–DeAngelis functional response
    • Authors: Xin Jiang; Gang Meng; Zhikun She
      Pages: 59 - 66
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Xin Jiang, Gang Meng, Zhikun She
      In this paper, we investigate the existence of positive T -periodic solutions in a food web with one predator feeding on n preys by Leray–Schauder degree theory, which plays a significant role on further studying the uniqueness of limit cycles of this food web model. We start with a series of required spaces and operators and construct a bounded open set Ω over which the corresponding Leray–Schauder degree can be well-defined. Afterwards, by the invariance property of homotopy, we verify that the Leray–Schauder degree is not equal to 0 under certain conditions, thus implying the existence of positive T -periodic solutions. Finally, a numerical example is presented to illustrate our result.

      PubDate: 2017-04-19T13:21:54Z
      DOI: 10.1016/j.aml.2017.03.018
      Issue No: Vol. 71 (2017)
       
  • Nodal solutions for noncoercive nonlinear Neumann problems with indefinite
           potential
    • Authors: Tieshan He; Yehui Huang; Kaihao Liang; Youfa Lei
      Pages: 67 - 73
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Tieshan He, Yehui Huang, Kaihao Liang, Youfa Lei
      We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator and an indefinite potential. Using variational methods together with flow invariance arguments, we show that the problem has at least one nodal solution. The result presented in this paper gives an answer to the open question raised by Papageorgiou and Rădulescu (2016).

      PubDate: 2017-04-19T13:21:54Z
      DOI: 10.1016/j.aml.2017.03.015
      Issue No: Vol. 71 (2017)
       
  • Well-posedness for some damped elastic systems in Banach spaces
    • Authors: Toka Diagana
      Pages: 74 - 80
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Toka Diagana
      In this paper we study the well-posedness for some damped elastic systems in a Banach space. To illustrate our abstract results, we study the existence of classical solutions to some elastic systems with viscous and strong dampings.

      PubDate: 2017-04-19T13:21:54Z
      DOI: 10.1016/j.aml.2017.03.016
      Issue No: Vol. 71 (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)
       
  • On (non-)exponential decay in generalized thermoelasticity with two
           temperatures
    • Authors: M.C. Leseduarte; R. Quintanilla; R. Racke
      Pages: 18 - 25
      Abstract: Publication date: August 2017
      Source:Applied Mathematics Letters, Volume 70
      Author(s): M.C. Leseduarte, R. Quintanilla, R. Racke
      We study solutions for the one-dimensional problem of the Green–Lindsay and the Lord–Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained. Second, we prove the exponential stability in the Green–Lindsay model, but the non-exponential stability for the Lord–Shulman model.

      PubDate: 2017-04-12T13:14:16Z
      DOI: 10.1016/j.aml.2017.02.020
      Issue No: Vol. 70 (2017)
       
  • On the global stability of the axial equilibrium for the n-dimensional
           Gompertz system
    • Authors: Zhongli Liu
      Pages: 26 - 31
      Abstract: Publication date: August 2017
      Source:Applied Mathematics Letters, Volume 70
      Author(s): Zhongli Liu
      In this paper, we provide a criterion on the axial equilibrium to be globally asymptotically stable for the n -dimensional Gompertz system, i.e., only one species will survive and stabilize at its own carrying capacity, whilst all the other species are driven to extinction.

      PubDate: 2017-04-12T13:14:16Z
      DOI: 10.1016/j.aml.2017.03.001
      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)
       
  • Characteristics of the solitary waves and rogue waves with interaction
           phenomena in a generalized (3+1)-dimensional Kadomtsev–Petviashvili
           equation
    • Authors: Xiu-Bin Wang; Shou-Fu Tian; Chun-Yan Qin; Tian-Tian Zhang
      Pages: 40 - 47
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Xiu-Bin Wang, Shou-Fu Tian, Chun-Yan Qin, Tian-Tian Zhang
      Under investigation in this work is a generalized ( 3 + 1 )-dimensional Kadomtsev–Petviashvili equation, which can describe many nonlinear phenomena in fluid dynamics. By virtue of Bell’s polynomials, an effective and straightforward way is presented to explicitly construct its bilinear form and soliton solutions. Furthermore, based on the bilinear formalism, a direct method is employed to explicitly construct its rogue wave solutions with an ansätz function. Finally, the interaction phenomena between rogue waves and solitary waves are presented with a detailed derivation. The results can be used to enrich the dynamical behavior of higher dimensional nonlinear wave fields.

      PubDate: 2017-05-03T10:58:55Z
      DOI: 10.1016/j.aml.2016.12.009
      Issue No: Vol. 68 (2017)
       
  • Oscillation of a linear delay differential equation with slowly varying
           coefficient
    • Authors: Pituk
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Mihály Pituk
      A new sufficient condition is given for the oscillation of all solutions of a linear scalar delay differential equation with slowly varying and uniformly positive coefficient at infinity. Based on the celebrated Myshkis type necessary condition, we show that this new sufficient condition is sharp within the considered class of delay differential equations.

      PubDate: 2017-05-18T09:36:21Z
       
  • Variational approach to differential equations with not instantaneous
           impulses
    • Authors: Liang Bai; Juan Nieto
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Liang Bai, Juan J. Nieto
      In this note we introduce the concept of a weak solution for a linear equation with not instantaneous impulses. We use the classical Lax–Milgram Theorem to reveal the variational structure of the problem and get the existence and uniqueness of weak solutions as critical points. This will allow us in the future to deal with the corresponding nonlinear problems.

      PubDate: 2017-05-18T09:36:21Z
       
  • Oscillatory behavior of the second order noncanonical differential
           equations
    • Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): J. Džurina
      We establish new comparison theorem for deducing oscillation of noncanonical nonlinear differential equation r ( t ) u ′ ( t ) γ ′ + p ( t ) u γ ( τ ( t ) ) = 0 from that of suitable linear equation y ″ ( t ) + p ˜ ( t ) u ( τ ˜ ( t ) ) = 0 . Our results are based on Trench’s theory of canonical operators and comparison technique.

      PubDate: 2017-05-18T09:36:21Z
       
  • On asymptotic relationships between two higher order dynamic equations on
           time scales
    • Authors: Pavel
      Abstract: Publication date: November 2017
      Source:Applied Mathematics Letters, Volume 73
      Author(s): Pavel Řehák
      We consider the n th order dynamic equations x Δ n + p 1 ( t ) x Δ n − 1 + ⋯ + p n ( t ) x = 0 and y Δ n + p 1 ( t ) y Δ n − 1 + ⋯ + p n ( t ) y = f ( t , y ( τ ( t ) ) ) on a time scale T , where τ is a composition of the forward jump operators, p i are real rd-continuous functions and f is a continuous function; T is assumed to be unbounded above. We establish conditions that guarantee asymptotic equivalence between some solutions of these equations. No restriction is placed on whether the solutions are oscillatory or nonoscillatory. Applications to second order Emden–Fowler type dynamic equations and Euler type dynamic equations are shown.

      PubDate: 2017-05-18T09:36:21Z
       
  • Oscillatory behavior of the second order functional differential equations
    • Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): B. Baculíková
      Establishing new properties of nonoscillatory solutions we introduce new oscillatory criteria for the second order advanced differential equation y ′ ′ ( t ) + p ( t ) y ( σ ( t ) ) = 0 . Our oscillatory results essentially extend the earlier ones. The progress is illustrated via Euler differential equation.

      PubDate: 2017-05-03T10:58:55Z
       
  • Hamilton’s principle for dynamical elasticity
    • Authors: Ji-Huan
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Ji-Huan He
      There exists NO classical variational principle for continuum dynamics so far. The well-known Hamilton’s principle is valid only for the conditions prescribed at the beginning and at the end of the motion and is therefore useless to deal with the usual initial-boundary condition problems. In this paper an exact classical variational theory is established, all initial conditions are converted into natural ones, furthermore, all natural final conditions automatically meet the physical requirements, leading to a vital innovation of Hamilton’s principle.

      PubDate: 2017-05-03T10:58:55Z
       
  • Existence of non-trivial solutions for nonlinear fractional
           Schrödinger–Poisson equations
    • Authors: Kexue
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Kexue Li
      We study the nonlinear fractional Schrödinger–Poissonequation ( − Δ ) s u + u + ϕ u = f ( x , u ) , in R 3 , ( − Δ ) t ϕ = u 2 , in R 3 , where s , t ∈ ( 0 , 1 ] , 2 t + 4 s > 3 . Under some assumptions on f , we obtain the existence of non-trivial solutions. The proof is based on the perturbation method and the mountain pass theorem.

      PubDate: 2017-04-26T03:00:50Z
       
  • Positive solutions of nonlinear delayed differential equations with
           impulses
    • Authors: Josef
      Abstract: Publication date: October 2017
      Source:Applied Mathematics Letters, Volume 72
      Author(s): Josef Diblík
      The paper is concerned with the long-term behavior of solutions to scalar nonlinear functional delayed differential equations y ̇ ( t ) = − f ( t , y t ) , t ≥ t 0 . It is assumed that f : [ t 0 , ∞ ) × C ↦ R is a continuous mapping satisfying a local Lipschitz condition with respect to the second argument and C ≔ C ( [ − r , 0 ] , R ) , r > 0 is the Banach space of continuous functions. The problem is solved of the existence of positive solutions if the equation is subjected to impulses y ( t s + ) = b s y ( t s ) , s = 1 , 2 , … , where t 0 ≤ t 1 < t 2 < ⋯ and b s > 0 , s = 1 , 2 , … . A criterion for the existence of positive solutions on [ t 0 − r , ∞ ) is proved and their upper estimates are given. Relations to previous results are discussed as well.

      PubDate: 2017-04-26T03:00:50Z
       
  • Solutions of the Dirichlet–Sch problem and asymptotic properties of
           solutions for the Schrödinger equation
    • Authors: Lei Qiao
      Abstract: Publication date: September 2017
      Source:Applied Mathematics Letters, Volume 71
      Author(s): Lei Qiao
      Let a ( X , y ) be a nonnegative radical potential in a cylinder. In this paper, we study the solutions of the Dirichlet–Sch problem associated with a stationary Schrödinger operator. Existence of solutions for the Schrödinger equation and asymptotic properties as y → + ∞ and y → − ∞ are also considered under suitable conditions.

      PubDate: 2017-04-12T13:14:16Z
       
  • 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
       
 
 
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