for Journals by Title or ISSN
for Articles by Keywords
help
  Subjects -> MATHEMATICS (Total: 966 journals)
    - APPLIED MATHEMATICS (82 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (711 journals)
    - MATHEMATICS (GENERAL) (43 journals)
    - NUMERICAL ANALYSIS (22 journals)
    - PROBABILITIES AND MATH STATISTICS (88 journals)

MATHEMATICS (711 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 4)
Academic Voices : A Multidisciplinary Journal     Open Access   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 7)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 29)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 1)
Acta Mathematica     Hybrid Journal   (Followers: 12)
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: 6)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 4)
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: 19)
Advances in Decision Sciences     Open Access   (Followers: 3)
Advances in Difference Equations     Open Access   (Followers: 3)
Advances in Fixed Point Theory     Open Access   (Followers: 5)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Numerical Analysis     Open Access   (Followers: 5)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Pure and Applied Mathematics     Hybrid Journal   (Followers: 6)
Advances in Pure Mathematics     Open Access   (Followers: 6)
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: 11)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 5)
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 Computational and Applied Mathematics     Open Access   (Followers: 5)
American Journal of Mathematical Analysis     Open Access  
American Journal of Mathematics     Full-text available via subscription   (Followers: 6)
American Journal of Operations Research     Open Access   (Followers: 5)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 8)
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: 5)
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: 4)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Discrete Mathematics     Full-text available via subscription   (Followers: 6)
Annals of Mathematics     Full-text available via subscription   (Followers: 1)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
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)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applications of Mathematics     Hybrid Journal   (Followers: 2)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 6)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal  
Applied Mathematics Letters     Full-text available via subscription   (Followers: 2)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
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: 2)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Arkiv för Matematik     Hybrid Journal   (Followers: 1)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites : The Journal of Space Research Centre of Polish Academy of Sciences     Open Access   (Followers: 20)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Journal of Current Engineering & Maths     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 6)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 4)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 1)
Basin Research     Hybrid Journal   (Followers: 5)
BIBECHANA     Open Access   (Followers: 2)
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: 12)
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 Symbolic Logic     Full-text available via subscription   (Followers: 2)
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 1)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 4)
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: 19)
Carpathian Mathematical Publications     Open Access   (Followers: 1)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
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: 1)
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 4)
Collectanea Mathematica     Hybrid Journal  
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 2)
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: 8)
Compositio Mathematica     Full-text available via subscription   (Followers: 1)
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: 5)
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: 8)
Concrete Operators     Open Access   (Followers: 5)
Confluentes Mathematici     Hybrid Journal  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal  
Cryptography and Communications     Hybrid Journal   (Followers: 13)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 9)
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: 29)
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: 3)
Differentsial'nye Uravneniya     Open Access  
Discrete Mathematics     Hybrid Journal   (Followers: 8)
Discrete Mathematics & Theoretical Computer Science     Open Access  
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Dnipropetrovsk University Mathematics Bulletin     Open Access  
Doklady Akademii Nauk     Open Access  
Doklady Mathematics     Hybrid Journal  
Duke Mathematical Journal     Full-text available via subscription   (Followers: 1)
Eco Matemático     Open Access  
Edited Series on Advances in Nonlinear Science and Complexity     Full-text available via subscription  
Electronic Journal of Combinatorics     Open Access  
Electronic Journal of Differential Equations     Open Access  
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: 4)
Energy for Sustainable Development     Hybrid Journal   (Followers: 9)

        1 2 3 4 | Last

Journal Cover
Applied Mathematics Letters
Journal Prestige (SJR): 1.457
Citation Impact (citeScore): 3
Number of Followers: 2  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0893-9659
Published by Elsevier Homepage  [3163 journals]
  • On the optimal convergence rates of Chebyshev interpolations for functions
           of limited regularity
    • Authors: Shuhuang Xiang
      Pages: 1 - 7
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Shuhuang Xiang
      In this paper, some new asymptotic formulas on the decay of the coefficients of the Chebyshev expansions are presented and refined estimates on the asymptotics for functions of limited regularities are derived. Together with these, the optimal convergence rates of the polynomial interpolations in Chebyshev points are deduced.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.009
      Issue No: Vol. 84 (2018)
       
  • The properties of the solutions of the incompressible flows on an exterior
           domain
    • Authors: Jaiok Roh
      Pages: 8 - 12
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Jaiok Roh
      In this paper, we want to see the properties of the smooth solutions u of the incompressible flows on an exterior domain Ω of R 2 . Specially, when the vorticity ω = ∇ × u has a bounded support, with suitable conditions we will show that there exists a constant C ( p , q ) such that ∥ u ∥ L p ( Ω ) ≤ C ∥ u ∥ L q ( Ω ) for 1 < p ≤ q ≤ ∞ .

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.006
      Issue No: Vol. 84 (2018)
       
  • Analytical solutions of the (2+1)-dimensional space–time fractional
           Bogoyavlenskii’s breaking soliton equation
    • Authors: Chao Li; Meimei Zhao
      Pages: 13 - 18
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Chao Li, Meimei Zhao
      In this paper, the improved fractional sub-equation method is applied to obtain analytical solutions of the (2+1)-dimensional space–time fractional Bogoyavlenskii’s breaking soliton equation involving Jumarie’s modified Riemann–Liouville derivative in mathematical physics. As a result, explicit analytical solutions are successfully obtained, which contain more generalized hyperbolic function solutions, generalized trigonometric function solutions and rational solutions. The graphical representations have been used for demonstrating the nature of the obtained results.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.011
      Issue No: Vol. 84 (2018)
       
  • Complete position synchronization in the power grid system
    • Authors: Sun-Ho Choi; Intae Ryoo; Bum Il Hong
      Pages: 19 - 25
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Sun-Ho Choi, Intae Ryoo, Bum Il Hong
      We present a sufficient condition for synchronization of power grid model when the moment of inertia is zero. Unlike the Kuramoto model, the power grid model contains nonlinear terms of the first- and second-order derivatives. We assume that the natural frequencies are all the same and larger than coupling strength K > 0 . These conditions allow us to use a Lyapunov functional and a priori estimate method. From the Lyapunov functional, we can obtain the exponential decay result for the phase difference max i , j θ i ( t ) − θ j ( t ) , where θ i is the i th phase angle such that the ensemble approaches complete position synchronization.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.004
      Issue No: Vol. 84 (2018)
       
  • Multiple solutions for degenerate nonlocal problems
    • Authors: Giuseppe Caristi; Shapour Heidarkhani; Amjad Salari; Stepan A. Tersian
      Pages: 26 - 33
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Giuseppe Caristi, Shapour Heidarkhani, Amjad Salari, Stepan A. Tersian
      In this paper, we study the existence of solutions for a class of degenerate nonlocal problems involving sub-linear nonlinearities, while the nonlinear part of the problem admits some hypotheses on the behavior at the origin or perturbation property. We obtain some new criteria for existence of two and infinitely many solutions of the problem using critical point theory. Some recent results are extended and improved. Some examples are presented to demonstrate the application of our main results.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.007
      Issue No: Vol. 84 (2018)
       
  • Superconvergence analysis of a two-grid method for semilinear parabolic
           equations
    • Authors: Dongyang Shi; Pengcong Mu; Huaijun Yang
      Pages: 34 - 41
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Dongyang Shi, Pengcong Mu, Huaijun Yang
      In this paper, the superconvergence analysis of a two-grid method (TGM) is established for the semilinear parabolic equations. Based on the combination of the interpolation and Ritz projection technique, an important ingredient in the method, the superclose estimates in the H 1 -norm are deduced for the backward Euler fully-discrete TGM scheme. Moreover, through the interpolated postprocessing approach, the corresponding global superconvergence result is derived. Finally, some numerical results are provided to confirm the theoretical analysis, and also show that the computing cost of the proposed TGM is only half of the conventional Galerkin finite element methods (FEMs).

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.012
      Issue No: Vol. 84 (2018)
       
  • Invariant algebraic curves for Liénard dynamical systems revisited
    • Authors: Maria V. Demina
      Pages: 42 - 48
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Maria V. Demina
      A novel algebraic method for finding invariant algebraic curves for a polynomial vector field in C 2 is introduced. The structure of irreducible invariant algebraic curves for Liénard dynamical systems x t = y , y t = − f ( x ) y − g ( x ) with deg g = deg f + 1 is obtained. It is shown that there exist Liénard systems that possess more complicated invariant algebraic curves than it was supposed before. As an example, all irreducible invariant algebraic curves for the Liénard differential system with deg f = 2 and deg g = 3 are obtained. All these results seem to be new.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.013
      Issue No: Vol. 84 (2018)
       
  • Infinitely many positive solutions for a nonlocal problem
    • Authors: Guangze Gu; Wei Zhang; Fukun Zhao
      Pages: 49 - 55
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Guangze Gu, Wei Zhang, Fukun Zhao
      In this paper, we obtain infinitely many small positive solutions of the following nonlocal problem − L K u = f ( x , u ) in Ω , u = 0 in R N ∖ Ω , where Ω ⊂ R N is a bounded domain with Lipschitz boundary ∂ Ω , and L K is an integrodifferential operator of fractional Laplacian type. The character of this work is that we do not require any growth condition on f for u large.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.010
      Issue No: Vol. 84 (2018)
       
  • Analysis of a fractional SEIR model with treatment
    • Authors: Ricardo Almeida
      Pages: 56 - 62
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Ricardo Almeida
      In this paper we focus on models consisting of fractional differential equations to describe the dynamics of certain epidemics. The population is divided into susceptible, exposed, infectious, and recovered (SEIR), with treatment policies. We present an analytical study and show that the model has two equilibrium points (disease free equilibrium and endemic equilibrium). Local asymptotic stability is proven for both cases. Numerical simulations are presented to illustrate the conclusions.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.015
      Issue No: Vol. 84 (2018)
       
  • Rational solutions for the nonlocal sixth-order nonlinear Schrödinger
           equation
    • Authors: De-Yin Liu; Wen-Rong Sun
      Pages: 63 - 69
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): De-Yin Liu, Wen-Rong Sun
      We derive the nonlocal sixth-order nonlinear Schrödinger (NLS) equation which admits rational solutions. Through the Lax pair, we prove the integrability of the nonlocal NLS equation. Furthermore, with the Darboux transformation, analytic rational solutions up to the second order are explicitly given.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.014
      Issue No: Vol. 84 (2018)
       
  • Ground states of linearly coupled systems of Choquard type
    • Authors: Peng Chen; Xiaochun Liu
      Pages: 70 - 75
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Peng Chen, Xiaochun Liu
      In this paper we prove the existence of ground states of linearly coupled systems of Choquard type. Asymptotic behaviour of ground states is also studied.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.016
      Issue No: Vol. 84 (2018)
       
  • Strong and weak properties of travelling waves for degenerate
           diffusion/aggregation–diffusion models with non-smooth reaction term
    • Authors: Daiyong Wu; Hongyong Zhao; Yuzhen Bai
      Pages: 76 - 83
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Daiyong Wu, Hongyong Zhao, Yuzhen Bai
      In this paper, we investigate a degenerate reaction–diffusion/reaction–aggregation–diffusion model with non-smooth reaction term. The strong and weak properties of travelling wave front solutions for this model are analyzed. Under degenerate reaction–diffusion/reaction–aggregation–diffusion term and non-smooth reaction term, we obtain how strong and weak properties change.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.019
      Issue No: Vol. 84 (2018)
       
  • The local exponential stability of evolution equation driven by
           Hölder-continuous paths
    • Authors: Xiancheng Gao; Hongjun Gao
      Pages: 84 - 89
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Xiancheng Gao, Hongjun Gao
      In this paper, the semigroup S ( t ) generated by unbounded linear operator A is not Hölder-continuous at zero. By assuming the regularity of initial condition, the mild solution u ( t ) ∈ C β ( [ 0 , T ] ; V ) is obtained. Then the local exponential stability of evolution equations driven by Hölder-continuous paths with Hölder exponent H ∈ ( 1 ∕ 2 , 1 ) is established. This result can be directly applied to the evolution equations with fractional Brownian motion with Hurst parameter H ∈ ( 1 ∕ 2 , 1 ) .

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.017
      Issue No: Vol. 84 (2018)
       
  • An existence result for sign-changing solutions of the
           Brézis–Nirenberg problem
    • Authors: Tieshan He; Chaolong Zhang; Dongqing Wu; Kaihao Liang
      Pages: 90 - 95
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Tieshan He, Chaolong Zhang, Dongqing Wu, Kaihao Liang
      We consider the Brézis–Nirenbergproblem: { − Δ u = u 2 ⋆ − 2 u + λ u in Ω , u = 0 on ∂ Ω , where Ω is a smooth bounded domain in R N , N ≥ 3 , 2 ⋆ = 2 N N − 2 is the critical Sobolev exponent and λ > 0 . Our main result asserts that if N ≥ 4 then there exists a pair of sign-changing solutions of the problem for every λ ∈ ( 0 , λ 1 ( Ω ) ) , λ 1 ( Ω ) being the first eigenvalue of − Δ in Ω with Dirichlet boundary conditions, while if N = 3 then a pair of sign-changing solutions exists for λ slightly smaller than λ 1 ( Ω ) . Our approach uses variational methods together with flow invariance arguments.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.020
      Issue No: Vol. 84 (2018)
       
  • About behavior of solution of difference equation with a logarithmic
           nonlinearity under stochastic perturbations
    • Authors: Leonid Shaikhet
      Pages: 103 - 110
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Leonid Shaikhet
      A nonlinear difference equation with delay and logarithmic nonlinearity is considered. Some properties of asymptotic behavior of the solution of this equation under stochastic perturbations are discussed. In particular, stability and instability of the positive and zero equilibria are studied. All obtained results are illustrated by numerical simulations of solutions of the considered equation.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.05.002
      Issue No: Vol. 84 (2018)
       
  • Fractional differential equations involving generalized derivative with
           Stieltjes and fractional integral boundary conditions
    • Authors: Bashir Ahmad; Madeaha Alghanmi; Sotiris K. Ntouyas; Ahmed Alsaedi
      Pages: 111 - 117
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Bashir Ahmad, Madeaha Alghanmi, Sotiris K. Ntouyas, Ahmed Alsaedi
      In this paper, we obtain the sufficient conditions for the uniqueness of solutions for a boundary value problem of fractional differential equations involving generalized fractional derivative supplemented with Stieltjes and generalized fractional integral boundary conditions.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.024
      Issue No: Vol. 84 (2018)
       
  • Lyapunov-type inequalities for a relativistic second-order differential
           equation
    • Authors: A.O. Ignatyev
      Pages: 124 - 129
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): A.O. Ignatyev
      A. M. Lyapunov proved the inequality that makes it possible to estimate the distance between two consecutive zeros a and b of solutions of a linear differential equation of the second order x ̈ ( t ) + q ( t ) x ( t ) = 0 where q ( t ) is a continuous function for t ∈ [ a , b ] . In the present note, a similar problem is solved for a differential equation of the form d d t x ̇ 1 − x ̇ 2 + p ( t ) x ̇ + q ( t ) x = 0 . The obtained inequality is applied to the estimate of the period of a periodic solution of relativistic differential Van der Pol equation.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.018
      Issue No: Vol. 84 (2018)
       
  • Boundary function method for inverse geometry problem in two-dimensional
           anisotropic heat conduction equation
    • Authors: Fajie Wang; Qingsong Hua; Chein-Shan Liu
      Pages: 130 - 136
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Fajie Wang, Qingsong Hua, Chein-Shan Liu
      This paper develops a novel approach for detecting unknown boundaries in the two-dimensional anisotropic heat conduction equations based on the boundary function method, in which a partial homogenization function satisfied the over-specified Cauchy data on an arc is derived to effectively solve the inverse geometry problem. After the homogenized technique, the governing equation is transformed into the one in a reduced domain, whose numerical solution is expanded by a sequence of boundary functions, automatically satisfying the homogeneous boundary conditions on the arc. The nonlinear equation will be formed and then solved by the Newton iterative method. Two numerical examples are provided to demonstrate the ability and accuracy of the proposed scheme.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.05.004
      Issue No: Vol. 84 (2018)
       
  • A new analytical formula for the wave equations with variable coefficients
    • Authors: Wei Shi; Kai Liu
      Pages: 137 - 142
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Wei Shi, Kai Liu
      This article presents a new analytical formula for the Cauchy problem of the wave equation with variable coefficients, which is a much simpler solution than that given by the Poisson formula. The derivation is based on the variation-of-constants formula and the theory of pseudodifferential operator. The formula is applied to an example to illustrate the feasibility.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.05.009
      Issue No: Vol. 84 (2018)
       
  • A remark on Samuelson’s variational principle in economics
    • Authors: Yue Wu; Ji-Huan He
      Pages: 143 - 147
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Yue Wu, Ji-Huan He
      A general derivation of Euler–Lagrange equation of Samuelson’s variational principle in economics is elucidated without Lagrange multipliers, and the optimal solutions and prices can be determined easily.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.05.008
      Issue No: Vol. 84 (2018)
       
  • Compactly supported solutions of Schrödinger equations with small
           perturbation
    • Authors: Anouar Bahrouni; Hichem Ounaies; Vicenţiu D. Rădulescu
      Pages: 148 - 154
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Anouar Bahrouni, Hichem Ounaies, Vicenţiu D. Rădulescu
      We establish the existence of entire compactly supported solutions for a class of Schrödinger equations with competing terms and indefinite potentials. The analysis developed in this paper corresponds to the case of small perturbations of the reaction term.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.023
      Issue No: Vol. 84 (2018)
       
  • Global structure of admissible solutions for the k-Hessian equation on
           bounded domain
    • Authors: Guowei Dai; Hua Luo
      Pages: 155 - 159
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Guowei Dai, Hua Luo
      We study the global structure of admissible solutions for the following k -Hessian equation S k D 2 u = λ k f ( − u ) . By bifurcation and topological methods, we determine the interval of λ for the existence of admissible solution for this problem.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.04.022
      Issue No: Vol. 84 (2018)
       
  • Linearized compact ADI schemes for nonlinear time-fractional
           Schrödinger equations
    • Authors: Xiaoli Chen; Yana Di; Jinqiao Duan; Dongfang Li
      Pages: 160 - 167
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Xiaoli Chen, Yana Di, Jinqiao Duan, Dongfang Li
      This paper is concerned with the construction and analysis of linearized numerical methods for solving the two-dimensional nonlinear time fractional Schrödinger equations. By adding different correction terms, two linearized compact alternating direction implicit (ADI) methods are proposed. Convergence of the proposed methods is obtained. Numerical results are presented to verify the accuracy and efficiency of the proposed schemes.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.05.007
      Issue No: Vol. 84 (2018)
       
  • A stochastic SICA epidemic model for HIV transmission
    • Authors: Jasmina Djordjevic; Cristiana J. Silva; Delfim F.M. Torres
      Pages: 168 - 175
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Jasmina Djordjevic, Cristiana J. Silva, Delfim F.M. Torres
      We propose a stochastic SICA epidemic model for HIV transmission, described by stochastic ordinary differential equations, and discuss its perturbation by environmental white noise. Existence and uniqueness of the global positive solution to the stochastic HIV system is proven, and conditions under which extinction and persistence in mean hold, are given. The theoretical results are illustrated via numerical simulations.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.05.005
      Issue No: Vol. 84 (2018)
       
  • Global solutions to isothermal system in a divergent nozzle with friction
    • Authors: Yun-guang Lu
      Pages: 176 - 180
      Abstract: Publication date: October 2018
      Source:Applied Mathematics Letters, Volume 84
      Author(s): Yun-guang Lu
      In this paper, we remove the restriction A ′ ( x ) ≥ 0 in the paper ‘Lu (2011)’, the restriction z 0 ( x ) ≤ 0 or w 0 ( x ) ≤ 0 in the paper ‘Klingenberg and Lu (1997)’, and obtain the global existence of entropy solutions to the isothermal gas dynamics system in a divergent nozzle with friction.

      PubDate: 2018-05-31T11:32:11Z
      DOI: 10.1016/j.aml.2018.05.006
      Issue No: Vol. 84 (2018)
       
  • Existence of multiple solutions to second-order discrete Neumann boundary
           value problems
    • Authors: Yuhua Long; Jiali Chen
      Pages: 7 - 14
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Yuhua Long, Jiali Chen
      By using the invariant set of descending flow and variational method, we establish the existence of multiple solutions to a class of second-order discrete Neumann boundary value problems. The solutions include sign-changing solutions, positive solutions, and negative solutions. An example is given to illustrate our results.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.006
      Issue No: Vol. 83 (2018)
       
  • Lagrangian actions for elliptical solutions of 2-body and 3-body problems
           with fixed energies
    • Authors: Ying Lv; Shiqing Zhang
      Pages: 15 - 20
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Ying Lv, Shiqing Zhang
      Based on the works of Gordon (1977) and Zhang and Zhou (2001) on the variational minimizing properties for Keplerian orbits and Lagrangian solutions of Newtonian 2-body and 3-body problems, we use the constrained variational principle of Ambrosetti and Coti Zelati (1990) to compute the Lagrangian actions on Keplerian and Lagrangian elliptical solutions with fixed energies. We also find an interesting relation between the period and the energy for Lagrangian elliptical solutions with Newtonian potentials.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.009
      Issue No: Vol. 83 (2018)
       
  • On relaxed greedy randomized Kaczmarz methods for solving large sparse
           linear systems
    • Authors: Zhong-Zhi Bai; Wen-Ting Wu
      Pages: 21 - 26
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Zhong-Zhi Bai, Wen-Ting Wu
      For solving large sparse systems of linear equations by iteration methods, we further generalize the greedy randomized Kaczmarz method by introducing a relaxation parameter in the involved probability criterion, obtaining a class of relaxed greedy randomized Kaczmarz methods. We prove the convergence of these methods when the linear system is consistent, and show that these methods can be more efficient than the greedy randomized Kaczmarz method if the relaxation parameter is chosen appropriately.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.008
      Issue No: Vol. 83 (2018)
       
  • Competitive exclusion for a two-species chemotaxis system with two
           chemicals
    • Authors: Qingshan Zhang
      Pages: 27 - 32
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Qingshan Zhang
      In this paper we consider the following competitive two-species chemotaxis system with two chemicals u t = Δ u − χ 1 ∇ ⋅ ( u ∇ v ) + μ 1 u ( 1 − u − a 1 w ) , x ∈ Ω , t > 0 , 0 = Δ v − v + w , x ∈ Ω , t > 0 , w t = Δ w − χ 2 ∇ ⋅ ( w ∇ z ) + μ 2 w ( 1 − a 2 u − w ) , x ∈ Ω , t > 0 , 0 = Δ z − z + u , x ∈ Ω , t > 0 in a smooth bounded domain Ω ⊂ R n with n ≥ 1 , where χ i ≥ 0 , a i ≥ 0 and μ i > 0 ( i = 1 , 2 ) . For the case a 1 > 1 > a 2 ≥ 0 , it will be proved that if χ 1 χ 2 < μ 1 μ 2 , χ 1 ≤ a 1 μ 1 and χ 2 < μ 2 , then the initial–boundary value problem with homogeneous Neumann boundary condition admits a unique global bounded solution and ( u , v , w , z ) → ( 0 , 1 , 1 , 0 ) uniformly on Ω ̄ as t → ∞...
      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.012
      Issue No: Vol. 83 (2018)
       
  • Residual symmetries, nth Bäcklund transformation and interaction
           solutions for (2+1)-dimensional generalized Broer–Kaup equations
    • Authors: Shundong Zhu; Junfeng Song
      Pages: 33 - 39
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Shundong Zhu, Junfeng Song
      Based on the residual symmetry theorem, the residual symmetry is obtained for the (2+1)-dimensional generalized Broer–Kaup (GBK) equations. The multiple residual symmetries are presented and localized by introducing prolonged systems, and then n th Bäcklund transformation for the GBK system in terms of determinant is derived. By means of the consistent tanh expansion (CTE) method, we get various interaction solutions which describe soliton interacting with other nonlinear waves including multiple resonant soliton wave, error function wave, periodic wave and rational function wave.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.021
      Issue No: Vol. 83 (2018)
       
  • On the asymptotic behavior of solutions of certain forced third order
           integro-differential equations with δ-Laplacian
    • Authors: Said R. Grace; John R. Graef
      Pages: 40 - 45
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Said R. Grace, John R. Graef
      In this paper the authors examine the asymptotic behavior of solutions of a certain third order forced integro-differential equations with δ -Laplacian. Their main goal is to investigate whether nonoscillatory solutions behave at infinity like certain nontrivial nonlinear functions. They apply a technique involving Young’s, Hölder’s, and Gronwall’s inequalities.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.010
      Issue No: Vol. 83 (2018)
       
  • A super Sasa–Satsuma hierarchy and bi-Hamiltonian structures
    • Authors: Jiao Wei; Xianguo Geng
      Pages: 46 - 52
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Jiao Wei, Xianguo Geng
      A super Sasa–Satsuma hierarchy associated with a 3  ×  3 matrix spectral problem is proposed with the aid of the zero-curvature equation and Lenard recursion equations. A typical member in the hierarchy is the super Sasa–Satsuma equation. The super bi-Hamiltonian structures of the super Sasa–Satsuma hierarchy are constructed by utilizing the super trace identity. The infinite conservation laws of the super Sasa–Satsuma equation are presented by resorting to the spectral parameter expansion.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.011
      Issue No: Vol. 83 (2018)
       
  • Lazer–Leach conditions for coupled Gompertz-like delayed systems
    • Authors: P. Amster; A. Déboli; M.P. Kuna
      Pages: 53 - 58
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): P. Amster, A. Déboli, M.P. Kuna
      A coupled Gompertz-like system of delay differential equations is considered. We prove the existence of T -periodic solutions under resonance assuming a Lazer–Leach type condition.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.013
      Issue No: Vol. 83 (2018)
       
  • Concentration for blow-up solutions of semi-relativistic Hartree equations
           of critical type
    • Authors: Yanfang Gao; Zhiyong Wang
      Pages: 59 - 64
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Yanfang Gao, Zhiyong Wang
      This paper concerns the semi-relativistic Hartree equation i ∂ t u = − Δ + m 2 u − ( ⋅ − 1 ∗ u 2 ) u in R 3 . We prove the concentration results for finite time blow-up solutions with general H x 1 ∕ 2 ( R 3 ) data, and show the relation between the concentration rate and the blow-up order.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.020
      Issue No: Vol. 83 (2018)
       
  • Asymptotic behavior of a weakly dissipative modified two-component
           Dullin–Gottwald–Holm system
    • Authors: Shou-Fu Tian
      Pages: 65 - 72
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Shou-Fu Tian
      In this paper, we consider the asymptotic behavior of a weakly dissipative modified two-component Dullin–Gottwald–Holm (mDGH2) system. We derive the asymptotic behavior of the solution at infinity expressed in exponential and algebraic forms. It is shown that there are some results about these properties of the strong solutions in L ∞ -space.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.019
      Issue No: Vol. 83 (2018)
       
  • Dynamics of the breather waves, rogue waves and solitary waves in an
           extend Kadomtsev–Petviashvili equation
    • Authors: Li Zou; Zong-Bing Yu; Xiu-Bin Wang
      Pages: 73 - 79
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Li Zou, Zong-Bing Yu, Xiu-Bin Wang
      Under investigation in this work is an extend Kadomtsev–Petviashvili (eKP) equation, which appears in the study of multi-component plasmas. By considering Bell’s polynomials, an effective and straightforward way is presented to succinctly derive its bilinear form and soliton solutions. Moreover, the homoclinic breather limit method is employed to construct the breather wave and rogue wave solutions of the equation. Finally, the dynamic behaviors of breather waves, rogue waves and solitary waves are discussed with graphic analysis. It is hoped that our results can be useful for explaining and enriching the dynamic behavior of these KP-type equations.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.017
      Issue No: Vol. 83 (2018)
       
  • On the Cauchy problem for a semilinear fractional elliptic equation
    • Authors: Nguyen Huy Tuan; Tran Dong Xuan; Nguyen Anh Triet; Daniel Lesnic
      Pages: 80 - 86
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Nguyen Huy Tuan, Tran Dong Xuan, Nguyen Anh Triet, Daniel Lesnic
      We study, for the first time in the literature on the subject, the Cauchy problem for a semilinear fractional elliptic equation. Under an a priori assumption on the solution, we propose the Fourier truncation method for stabilizing the ill-posed problem. A stability estimate of logarithmic type is established.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.016
      Issue No: Vol. 83 (2018)
       
  • On variational methods to non-instantaneous impulsive fractional
           differential equation
    • Authors: Adnan Khaliq; Mujeeb ur Rehman
      Pages: 95 - 102
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Adnan Khaliq, Mujeeb ur Rehman
      In this paper by using the variational methods for a class of impulsive differential equation of fractional order with non-instantaneous impulses, we setup sufficient conditions for the existence and uniqueness of weak solutions. The problem is reduced to an equivalent form such that the weak solutions of the problem are defined as the critical points of a functional. Main results of the present work are established by using Lax–Milgram Theorem.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.014
      Issue No: Vol. 83 (2018)
       
  • On state dependent non-local conditions
    • Authors: Eduardo Hernández; Donal O’Regan
      Pages: 103 - 109
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Eduardo Hernández, Donal O’Regan
      We introduce a new type of non-local conditions, which we call state dependent non-local conditions, and we study existence and uniqueness of solutions for abstract differential equation subjected to this class of conditions. The non-local condition proposed generalizes several types of non-local conditions studied in the literature. Some examples are given to illustrate our theory.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.022
      Issue No: Vol. 83 (2018)
       
  • Generation mechanism of rogue waves for the discrete nonlinear
           Schrödinger equation
    • Authors: Min Li; Juan-Juan Shui; Tao Xu
      Pages: 110 - 115
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Min Li, Juan-Juan Shui, Tao Xu
      In this paper, we analyze the generation mechanism of rogue waves for the discrete nonlinear Schrödinger (DNLS) equation from the viewpoint of structural discontinuities. First of all, we derive the analytical breather solutions of the DNLS equation on a new nonvanishing background through the Darboux transformation (DT). Via the explicit expressions of group and phase velocities, we give the parameter conditions for existence of the velocity jumps, which are consistent with the derivation of rogue waves via the generalized DT. Furthermore, to verify such statement, we apply the Taylor expansion to the breather solutions and find that the first-order rogue wave can be obtained at the velocity-jumping point. Our analysis can help to enrich the understanding on the rogue waves for the discrete nonlinear systems.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.018
      Issue No: Vol. 83 (2018)
       
  • On a hyperbolic perturbation of a parabolic initial–boundary value
           problem
    • Authors: Boris N. Chetverushkin; Alexander A. Zlotnik
      Pages: 116 - 122
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Boris N. Chetverushkin, Alexander A. Zlotnik
      We deal with a linear parabolic initial–boundary value problem and its hyperbolic perturbation with a small parameter ε > 0 in front of the 2nd order time derivative. We derive bounds for the perturbation error of the orders O ( ε ) and O ( ε ) in several norms in dependence with smoothness of data (without a priori conditions on solutions) but for non-smooth coefficients and keeping the free terms in equations as distributions. They essentially complement or improve some previously known bounds. In addition, we discuss regularizations of the initial time derivative.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.027
      Issue No: Vol. 83 (2018)
       
  • Simplified reproducing kernel method for impulsive delay differential
           equations
    • Authors: Liangcai Mei; Yuntao Jia; Yingzhen Lin
      Pages: 123 - 129
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Liangcai Mei, Yuntao Jia, Yingzhen Lin
      In this paper, a new algorithm is presented to solve the impulsive delay initial value problems. This is the first time to propose the simplified reproducing kernel method (SRKM for short) to solve the impulsive delay differential equations. Then the uniform convergence of the numerical solution is proved, and the time consuming Schmidt orthogonalization process is avoided. The proposed method is proved to be stable and is not less than second order convergence. The algorithm is employed successfully in some numerical examples.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.024
      Issue No: Vol. 83 (2018)
       
  • Arbitrary-order functionally fitted energy-diminishing methods for
           gradient systems
    • Authors: Bin Wang; Ting Li; Yajun Wu
      Pages: 130 - 139
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Bin Wang, Ting Li, Yajun Wu
      It is well known that for gradient systems in Euclidean space or on a Riemannian manifold, the energy decreases monotonically along solutions. In this letter we derive and analyse functionally fitted energy-diminishing methods to preserve this key property of gradient systems. It is proved that the novel methods are energy-diminishing and can achieve damping for very stiff gradient systems. We also show that the methods can be of arbitrarily high order and discuss their implementations. A numerical test is reported to illustrate the efficiency of the new methods in comparison with three existing numerical methods in the literature.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.026
      Issue No: Vol. 83 (2018)
       
  • An inverse problem for Sturm–Liouville differential operators with
           deviating argument
    • Authors: N. Bondarenko; V. Yurko
      Pages: 140 - 144
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): N. Bondarenko, V. Yurko
      We consider second-order functional differential operators with a constant delay. Properties of their spectral characteristics are obtained and a nonlinear inverse problem is studied, which consists in recovering the operators from their spectra. We establish the uniqueness and develop a constructive algorithm for solution of the inverse problem.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.025
      Issue No: Vol. 83 (2018)
       
  • A remark on stochastic stability of a novel hybrid system
    • Authors: Shujing Gao; Deming Zhong; Yan Zhang
      Pages: 145 - 150
      Abstract: Publication date: September 2018
      Source:Applied Mathematics Letters, Volume 83
      Author(s): Shujing Gao, Deming Zhong, Yan Zhang
      A stochastic switching Susceptible–Exposed–Infective–Removed ( S E I R ) epidemic model with continuous and impulsive control schemes is proposed and investigated, in which a general incidence function is considered. The existence and uniqueness of the global positive solution is achieved. By using the Lyapunov–Razumikhin approach, sufficient conditions are developed which guarantee the hybrid system is stochastically stable. The results of simulating our new S E I R model indicate that the hybrid control schemes could be an effective strategy to eradicate the disease.

      PubDate: 2018-04-15T12:28:10Z
      DOI: 10.1016/j.aml.2018.03.028
      Issue No: Vol. 83 (2018)
       
 
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
Fax: +00 44 (0)131 4513327
 
Home (Search)
Subjects A-Z
Publishers A-Z
Customise
APIs
Your IP address: 54.158.30.219
 
About JournalTOCs
API
Help
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-