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  Subjects -> MATHEMATICS (Total: 978 journals)
    - APPLIED MATHEMATICS (81 journals)
    - GEOMETRY AND TOPOLOGY (20 journals)
    - MATHEMATICS (723 journals)
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    - PROBABILITIES AND MATH STATISTICS (91 journals)

MATHEMATICS (723 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     Hybrid Journal   (Followers: 32)
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: 4)
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: 14)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 3)
Advances in Materials Science     Open Access   (Followers: 14)
Advances in Mathematical Physics     Open Access   (Followers: 4)
Advances in Mathematics     Full-text available via subscription   (Followers: 11)
Advances in Nonlinear Analysis     Hybrid Journal  
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: 12)
AKSIOMA Journal of Mathematics Education     Open Access   (Followers: 1)
Al-Jabar : Jurnal Pendidikan Matematika     Open Access   (Followers: 1)
Algebra and Logic     Hybrid Journal   (Followers: 6)
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: 9)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access   (Followers: 1)
Analysis and Applications     Hybrid Journal   (Followers: 1)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 5)
Analysis Mathematica     Full-text available via subscription  
Analysis. International mathematical journal of analysis and its applications     Hybrid Journal   (Followers: 2)
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 4)
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: 12)
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: 13)
Annals of Pure and Applied Logic     Open Access   (Followers: 3)
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: 13)
Applied Mathematics     Open Access   (Followers: 3)
Applied Mathematics     Open Access   (Followers: 7)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 9)
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: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 2)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
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     Open Access   (Followers: 21)
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)
Biomath     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: 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: 3)
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: 8)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 9)
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: 30)
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  
Econometrics     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)

        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  [3162 journals]
  • Soliton solutions of the sine-Gordon equation on the half line
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Cheng Zhang, Qiang Cheng, Da-jun Zhang We provide a direct method for constructing soliton solutions of the sine-Gordon equation in the laboratory coordinates on the half line in the presence of integrable boundary conditions derived in Sklyanin’s classical work (Sklyanin, 1987). Explicit examples, including boundary bound states, are presented.
       
  • Discrete modified Boussinesq equation and Darboux transformation
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Ying Shi, Junxiao Zhao In this letter, by a 3-periodic reduction technique, we regain the well-known discrete modified Boussinesq equation and its Lax pairs. It is the first time that the Darboux transformation is successfully constructed for this discrete equation. We then obtain its explicit solutions in terms of Casoratian determinants. The derived solutions are soliton solutions when the seed solutions are taken as v=1 and w=1.
       
  • p -Laplacian&rft.title=Applied+Mathematics+Letters&rft.issn=0893-9659&rft.date=&rft.volume=">Global solution for a thermoelastic system with p -Laplacian
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): C.A. Raposo, J.O. Ribeiro, A.P. Cattai In this work we prove global solution for the nonlinear system utt−Δpu+θ= u r−1uθt−Δθ=utwhere Δp is the nonlinear p-Laplacian operator, 2≤p
       
  • About the stability to Timoshenko system with one boundary dissipation
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Jaime E. Muñoz Rivera, Maria Grazia Naso We prove the exponential stability of the Timoshenko beam with boundary dissipation only on one side of the bending moment, provided the wave speeds of the system are equal.
       
  • An efficient finite element method for the two-dimensional nonlinear
           time–space fractional Schrödinger equation on an irregular convex
           domain
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Wenping Fan, Haitao Qi In this paper, we introduce an efficient Galerkin finite element method for solving the two-dimensional nonlinear time–space fractional Schrödinger equation, with time-dependent potential function, defined on an irregular convex domain. The Caputo time fractional derivative is discretized by the finite difference scheme, while the space fractional derivative defined on the irregular convex domain is dealt with the unstructured mesh finite element method. Given the nonlinear property of the considered equation, an efficient linearized strategy is used. To testify the efficiency of the proposed numerical scheme, two numerical examples are conducted with error and convergence analysis.
       
  • Preconditioned symmetric block triangular splitting iteration method for a
           class of complex symmetric linear systems
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Jianhua Zhang, Zewen Wang, Jing Zhao In this paper, a preconditioned symmetric block triangular splitting (PSBTS) iteration method is proposed for solving a class of block two-by-two real linear systems which arise from complex symmetric linear systems. The eigenvalue distributions and the convergence properties of the PSBTS iteration method are established, and the optimal values of the relaxation parameter and the corresponding spectral radius of the PSBTS iteration matrix are obtained, respectively. It is remarkable that the spectral radius of the PSBTS iteration method is smaller than that of the SBTS iteration method under suitable conditions. Finally, two numerical examples are tested for illustrating effectiveness and robustness of the PSBTS iteration method.
       
  • Dwell time for local stability of switched affine systems with application
           to non-spiking neuron models
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Oleg Makarenkov, Anthony Phung For switched systems that switch between distinct globally stable equilibria, we offer closed-form formulas that lock oscillations in the required neighborhood of the equilibria. Motivated by non-spiking neuron models, the main focus of the paper is on the case of planar switched affine systems, where we use properties of nested cylinders coming from quadratic Lyapunov functions. In particular, for the first time ever, we use the dwell-time concept in order to give an explicit condition for non-spiking of linear neuron models with periodically switching current.
       
  • Existence and uniqueness of a Lotka–Volterra reaction–diffusion model
           with advection term
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): De Tang, Li Ma In this paper, we investigate a reaction–diffusion two-competition species model with advection term under the Dirichlet boundary condition. By employing implicit function theorem, the principal spectral theory and other important formulas, we obtain the existence and uniqueness of spatial nonhomogeneous solutions under some given parameters conditions.
       
  • Small Alfvén number limit of the plane magnetohydrodynamic flows
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Qiangchang Ju, Xin Xu The small Alfvén number limit of the plane magnetohydrodynamic flows is rigorously proved under appropriate initial conditions. The limit system that we obtained is the compressible Euler equations involving the background magnetic field.
       
  • Efficient computation of matrix power-vector products: Application for
           space-fractional diffusion problems
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Ferenc Izsák, Béla J. Szekeres A novel algorithm is proposed for computing matrix–vector products Aαv, where A is a symmetric positive semidefinite sparse matrix and α>0. The method can be applied for the efficient implementation of the matrix transformation method to solve space-fractional diffusion problems. The performance of the new algorithm is studied in a comparison with the conventional MATLAB subroutines to compute matrix powers.
       
  • Emergent behavior of Cucker–Smale flocking particles with
           heterogeneous time delays
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Young-Pil Choi, Zhuchun Li We analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling, where delays are information processing and reactions of individuals. By constructing a system of dissipative differential inequalities together with a continuity argument, we provide a sufficient condition for the flocking behavior showing the velocity alignment between particles as time goes to infinity when the maximum value of time delays is sufficiently small.
       
  • On Euler-extrapolated Hermitian/skew-Hermitian splitting method for
           complex symmetric linear systems
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Chengliang Li, Changfeng Ma In this paper, we propose an Euler-extrapolated Hermitian/skew-Hermitian splitting (E-HS) iterative method for solving a class of complex symmetric linear systems. The convergence and optimal parameter of the E-HS method are presented. In addition, some spectral properties of the preconditioned matrix are also studied. Numerical experiments verify the effectiveness of the E-HS method either as a solver or a preconditioner.
       
  • Lump-type solutions and interaction solutions for the (2+1)-dimensional
           generalized fifth-order KdV equation
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Jian-Guo Liu Making use of the Hirota’s bilinear form, lump-type solutions for the (2+1)-dimensional generalized fifth-order KdV equation are presented. The interactions between lump-type solutions and double exponential function are discussed. The physical structure and characteristics for these obtained solutions are demonstrated in some three-dimensional plots and corresponding contour plots.
       
  • On convergence of EVHSS iteration method for solving generalized
           saddle-point linear systems
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Fang Chen For the generalized saddle-point linear system, we prove the unconditional convergence of the efficient variant of the HSS (EVHSS) iteration method introduced by Zhang (2018).
       
  • Dual virtual element method in presence of an inclusion
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Alessio Fumagalli We consider a Darcy problem for saturated porous media written in dual formulation in presence of a fully immersed inclusion. The lowest order virtual element method is employed to derive the discrete approximation. In the present work we study the effect of cells with cuts on the numerical solution, able to geometrically handle in a more natural way the inclusion tips. The numerical results show the validity of the proposed approach.
       
  • Improved exponential stability criteria of time-delay systems via weighted
           integral inequalities
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): SeakWeng Vong, Chenyang Shi, Dongdong Liu In this paper, we establish new weighted integral inequalities by considering polynomials which are orthogonal in a weighted sense. These inequalities generalize some results established recently. They are applied to study exponential stability of some time-delay systems under the framework of linear matrix inequalities. Numerical tests are given to demonstrate the efficiency of the derived stability conditions.
       
  • How to compute the optimal parameters of the parameterized PMHSS
           preconditioner'
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Yue Hao, Ai-Li Yang, Yu-Jiang Wu Based on the preconditioned modified Hermitian and skew-Hermitian splitting (PMHSS) iteration method and its alternating-directional variant, a parameterized PMHSS (P2MHSS) preconditioner is proposed for a class of block two-by-two systems of linear equations. To optimize the preconditioning effect of the P2MHSS preconditioner, practical formulas for computing the optimal parameters of the P2MHSS preconditioner are derived by employing the scaled norm minimization method. Finally, we test the feasibility and the effectiveness of the P2MHSS preconditioner.
       
  • Boundary value problem for linear and nonlinear fractional differential
           equations
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Tengteng Ma, Yu Tian, Qiang Huo, Yong Zhang In this paper, we are interested in the boundary conditions u(0)=au(1),u′(0)=bu′(1) for linear fractional differential equation 0cDtαu(t)+λu(t)=0. Via Laplace transform and inverse Laplace transform, we obtain eigenvalues and eigenfunctions. Furthermore, we study the same boundary conditions for nonlinear fractional differential equation 0cDtαu(t)+f(t,u(t))=0. Combining the obtained eigenvalues and eigenfunctions and the improved Leray–Schauder degree, we prove that there exists at least one nontrivial solution for nonlinear boundary value problem.
       
  • Pulse positive periodic solutions for some classes of singular
           nonlinearities
    • Abstract: Publication date: December 2018Source: Applied Mathematics Letters, Volume 86Author(s): Juan J. Nieto, José M. Uzal For given nonlinear differential equations it may occur that there are no periodic solutions. By introducing impulses at prescribed instants, periodic solutions may appear. We consider some impulsive nonlinear first order differential equations having periodic solutions and extend previous results to a larger class of nonlinearities.
       
  • Spectral method for solving the time fractional Boussinesq equation
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Hui Zhang, Xiaoyun Jiang, Moli Zhao, Rumeng Zheng In this paper, Fourier spectral approximation for the time fractional Boussinesq equation with periodic boundary condition is considered. The space is discretized by the Fourier spectral method and the Crank–Nicolson scheme is used to discretize the Caputo time fractional derivative. Stability and convergence analysis of the numerical method are proven. Some numerical examples are included to testify the effectiveness of our given method. Based on the presented numerical results, the Fourier spectral method is shown to be effective for solving the time fractional Boussinesq equation.
       
  • Finite difference/spectral-Galerkin method for a two-dimensional
           distributed-order time–space fractional reaction–diffusion equation
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Shimin Guo, Liquan Mei, Zhengqiang Zhang, Yutao Jiang In this letter, we consider the numerical approximation of a two-dimensional distributed-order time–space fractional reaction–diffusion equation. The time- and space-fractional derivatives are considered in the senses of Caputo and Riesz, respectively. By using the composite mid-point quadrature, the original fractional problem is approximated by a multi-term time–space fractional differential equation. Then the multi-term Caputo fractional derivatives are discretized by the L2-1σ formula. We apply the Legendre–Galerkin spectral method for the spatial approximation. Two numerical experiments with smooth and non-smooth initial conditions, respectively, are performed to illustrate the robustness of the proposed method. The results show that: our scheme can arrive at the spectral accuracy (resp. algebraic accuracy) in space for the problem with smooth (resp. non-smooth) initial condition. For both of these two cases, our scheme can lead to the second-order accuracies in time. Additionally, the convergence rates in both spatial and temporal distributed-order variables are two.
       
  • On soliton solutions of the relativistic Lotka–Volterra hierarchy
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Peng Zhao, Engui Fan, Temuerchaolu Without solving the equations, we show that soliton solutions of the relativistic Lotka–Volterra hierarchy can be derived from those of the Lotka–Volterra hierarchy. The proof is based on the reductions of a discrete spectral problem.
       
  • Virtual element method for simplified friction problem
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Fei Wang, Huayi Wei This work aims at studying the virtual element method (VEM) to solve a simplified friction problem, which is a typical elliptic variational inequality of the second kind. An optimal error estimate is derived in the H1 norm for the lowest-order VEM. A numerical example is reported to demonstrate the theoretically predicted convergence order.
       
  • Representation of solution of a Riemann–Liouville fractional
           differential equation with pure delay
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Mengmeng Li, JinRong Wang This paper derives a representation of a solution to the initial value problem for a linear fractional delay differential equation with Riemann–Liouville derivative. We apply the method of variation of constants to obtain the representation of a solution via a delayed Mittag-Leffler type matrix function.
       
  • Nonlinear waves in the modulation instability regime for the fifth-order
           nonlinear Schrödinger equation
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Ping Li, Lei Wang, Liang-Qian Kong, Xin Wang, Ze-Yu Xie We study the linear stability analysis and nonlinear excitations on a continuous wave background for the fifth-order nonlinear Schrödinger equation. We find that there are a modulation stability (MS) quasi-elliptic ring and a MS curve in the modulation instability (MI) regime. The concrete expressions of different types of nonlinear waves are obtained by using Darboux transformation. And we present the relations and phase diagram between MI and these waves. We discover that the antidark (AD) soliton and nonrational W-shaped soliton can only exist on the resonance line of outside of the MS quasi-elliptic ring and the right of the MS curve. We perform numerical simulation to test the stability of the AD soliton. By introducing the perturbation energy, we further show that solitons in the MI regime are caused by both the fourth- and fifth-order effects.
       
  • p q -Laplacian+systems+with+singularities&rft.title=Applied+Mathematics+Letters&rft.issn=0893-9659&rft.date=&rft.volume=">Positive solutions for a class of non-cooperative p q -Laplacian systems
           with singularities
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): K.D. Chu, D.D. Hai, R. Shivaji We study the existence of positive solutions to the non-cooperative pq-Laplacian system −Δpu=λf(u,v)inΩ,−Δqv=λg(u,v)inΩ,with Dirichlet boundary conditions on a bounded domain Ω with smooth boundary ∂Ω, where f,g:(0,∞)×(0,∞)→R are allowed to have infinite semipositone structure at u=0 or v=0. Our approach is based on the Schauder fixed point theorem.
       
  • A new and sharper bound for Legendre expansion of differentiable functions
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Haiyong Wang In this paper, we present a new and sharper bound for the Legendre coefficients of differentiable functions and then provide a new bound on the approximation error of the truncated Legendre series in the uniform norm. An illustrative example is provided to demonstrate the sharpness of our new results.
       
  • Solutions with minimal period for non-autonomous second-order Hamiltonian
           systems
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Chun Li In this paper, we study the existence of subharmonic solutions with prescribed minimal period for a class of second-order Hamiltonian systems with even potentials. By using the variational methods, we obtain some new existence theorems which improve some recent results in the literature.
       
  • A result on a non-autonomous Kirchhoff type equation involving critical
           term
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Jiu Liu, Tao Liu, Hui-Lan Pan By using the method of Nehari manifold, we obtain the existence of a positive ground state solution for the following non-autonomous Kirchhoff type equation −(a+b∫RN ∇u 2dx)△u+V(x)u=uN+2N−2,x∈RN,u∈D1,2(RN),N=3,4,where a>0,b>0 and V satisfies some appropriate assumptions.
       
  • Mixed lump–soliton solutions of the (3+1)-dimensional soliton
           equation
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): JunCai Pu, HengChun Hu Many mixed lump–soliton solutions for the (3+1)-dimensional integrable equation are obtained by using the Hirota bilinear method. These mixed lump–soliton solutions with arbitrary constants are given out analytically and graphically.
       
  • Exponential ultimate boundedness of impulsive stochastic delay
           differential equations
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Liguang Xu, Zhenlei Dai, Danhua He This paper is devoted to the investigation of the ultimate boundedness of impulsive stochastic delay differential equations. The pth moment global exponential ultimate boundedness criteria are obtained based on the Itô formula and the successful construction of suitable Lyapunov functionals, and the estimated exponential convergence rate and the ultimate bound are provided as well. It is shown that unbounded stochastic delay differential equations can be turned into bounded ones by impulses.
       
  • Approximate solutions of the logistic equation and Ulam stability
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Dorian Popa, Ioan Rasa, Adrian Viorel In the present work, we deal with the logistic equation and its stability with respect to perturbations. In fact, for perturbations below a certain threshold, we provide an estimate for the difference between solutions of the exact and perturbed models, which scales linearly with the magnitude of the perturbation. This actually proves the conditional Ulam stability of the logistic equation.
       
  • Classification of global behavior of a system of rational difference
           equations
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Hideaki Matsunaga, Rina Suzuki This paper deals with a system of rational difference equations xn+1=ayn+bcyn+d,yn+1=axn+bcxn+d,n=0,1,2,…,where a, b, c, d are real numbers with c≠0 and ad−bc≠0. We establish a representation formula of solutions of the system and classify global behavior of solutions when no initial values belong to the forbidden set of the system.
       
  • Domains of global convergence for Newton’s method from auxiliary
           points
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): J.A. Ezquerro, M.A. Hernández-Verón We introduce auxiliary points to obtain domains of global convergence for Newton’s method without imposing convergence conditions on the local solution of equation to solve, as local convergence results do.
       
  • Delay dependent dissipativity for a class of nonlinear neutral delay
           differential equations
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Peng Hu, Haijun Xiao This paper is concerned with the delay dependent dissipativity for a class of nonlinear neutral delay differential equations. By taking into account the influence of the delay, a new dissipativity criterion is derived by using a generalized Halanay’s inequality, which is less conservative than those in the existing literature in some cases. At last, two examples are provided to validate our theoretical results.
       
  • Acoustic wave motions stabilized by boundary memory damping II. Polynomial
           stability
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Zhe Jiao, Yong Xu A linear wave equation with acoustic boundary conditions (ABC) on a portion of the boundary and Dirichlet conditions on the rest of the boundary is considered. The ABC contain a memory damping with respect to the normal displacement of the boundary point. In this paper, we establish polynomial energy decay rates for the wave equation by using resolvent estimates.
       
  • ( 2 + 1 ) -dimensional+Burgers+equation&rft.title=Applied+Mathematics+Letters&rft.issn=0893-9659&rft.date=&rft.volume=">Lump and interaction solutions to the ( 2 + 1 ) -dimensional Burgers
           equation
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Hui Wang Based on the Hirota bilinear method, the lump solution of a (2+1)-dimensional Burgers equations is presented through symbolic computation with Maple, which is rationally localized in all directions in the space. Then the interaction solution between lump solution and one stripe solution is obtained and the result shows that the lump soliton will be drowned or swallowed by the stripe soliton, which can also be called the fission or fusion phenomenon. Furthermore, by the interaction between lump solution and a pair of resonance stripe solitons, a rogue wave phenomenon is revealed.
       
  • Fractional-order derivatives defined by continuous kernels are too
           restrictive
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Martin Stynes Various new definitions of fractional-order derivatives seek to replace the singular kernel of the Caputo definition by some continuous function. It is shown here that the use of any continuous kernel often places a severe and unnatural restriction on the data that can be used in problems formulated using these new definitions.
       
  • On the relaxation of the Maxwell–Stefan system to linear diffusion
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Francesco Salvarani, Ana Jacinta Soares In this note, we rigorously prove the relaxation limit of the Maxwell–Stefan system to a system of heat equations when all binary diffusion coefficients tend to the same positive value.
       
  • Representation of solutions of discrete linear delay systems with non
           permutable matrices
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): N.I. Mahmudov We introduce a discrete delayed exponential depending on sequence of matrices. This discrete matrix gives a representation of a solution to the Cauchy problem for a discrete linear system with pure delay with sequence of matrices. We discard the commutativity condition used in recent works related to the representation of solutions for discrete delay linear systems.
       
  • p , q ))+equation+with+specific+external+potentials&rft.title=Applied+Mathematics+Letters&rft.issn=0893-9659&rft.date=&rft.volume=">Localized analytical solutions and numerically stabilities of generalized
           Gross–Pitaevskii (GP( p , q )) equation with specific external
           potentials
    • Abstract: Publication date: November 2018Source: Applied Mathematics Letters, Volume 85Author(s): Fajun Yu We present the generalized Gross–Pitaevskii (GP(p,q)) equation with two kinds of specific space–time modulated potentials, including the generalized Rosen–Morse potential, the combination of harmonic and Gaussian (harmonic–Gaussian) potential. Some analytical bright soliton solutions are derived from the generalized GP(p,q) equation via the complex similarity transformation and the generalized stationary nonlinear Schrödinger (NLS) equation. The soliton solutions can be reduced to Jacobi elliptic and spikon-like solutions by choosing the different parameters, and describe some physically relevant phenomenons. Furthermore, some stabilities of the obtained matter-wave solutions are addressed numerically. We find that some solutions are stable and can be observed over a broad range of parameters through analyzing the effect of the phase noise on these solutions. The obtained results may give a certain theoretical guiding significance of relative experiments in Bose–Einstein condensates.
       
  • Efficient schemes for the coupled Schrödinger-KdV equations: Decoupled
           and conserving three invariants
    • Abstract: Publication date: Available online 6 July 2018Source: Applied Mathematics LettersAuthor(s): Jiaxiang Cai, Chuanzhi Bai, Haihui Zhang We give a systematic method for discretizing Hamiltonian partial differential equations. An application of the method to the Hamiltonian form of the coupled Schrödinger-KdV equations yields a temporal first-order conservative scheme. Temporal second- and fourth-order schemes are developed by employing the composition method. All the schemes are decoupled and exactly conserve three invariants simultaneously. Numerical results show good performance of the schemes and verify the theoretical results.
       
  • A new reproducing kernel collocation method for nonlocal fractional
           boundary value problems with non-smooth solutions
    • Abstract: Publication date: Available online 6 July 2018Source: Applied Mathematics LettersAuthor(s): Xiuying Li, Boying Wu In this letter, a new reproducing kernel collocation method is presented for solving nonlocal fractional boundary value problems with non-smooth solutions. The method is based on the reproducing kernel basis function and the polynomial basis function. The present method can avoid finding a reproducing kernel satisfying nonlocal boundary conditions. The effectiveness of the numerical scheme is illustrated through two numerical examples.
       
  • A second-order accurate numerical approximation for the space tempered
           fractional convection equation
    • Abstract: Publication date: Available online 6 July 2018Source: Applied Mathematics LettersAuthor(s): H. Ding, C. Li By constructing new numerical approximation formulas for the left and right Riemann–Liouville tempered fractional derivatives of order α∈(0,1), a numerical algorithm is proposed to solve the space tempered fractional convection equation. The algorithm is shown to be unconditionally stable and convergent with order Oτ2+h2. Finally, numerical example is provided to verify the theoretical analysis.
       
  • Homoclinic solutions for a higher order difference equation
    • Abstract: Publication date: Available online 4 July 2018Source: Applied Mathematics LettersAuthor(s): Lingju Kong By using the critical point theory, the existence of at least three homoclinic solutions is established for a higher order difference equation defined on Z with p-Laplacian and containing both advance and retardation. Some known results in the literature are extended and complemented.
       
  • Uniform global strong solutions of the 2D magnetic Bénard problem in
           a bounded domain
    • Abstract: Publication date: Available online 30 June 2018Source: Applied Mathematics LettersAuthor(s): Jishan Fan, Dan Liu, Yong Zhou In this paper, we use the bootstrap argument to prove the uniform-in-k global strong solutions of the 2D magnetic Bénard problem in a bounded domain. Here k is the heat conductivity coefficient.
       
  • Optimal shape parameter in the MQ-RBF by minimizing an energy gap
           functional
    • Abstract: Publication date: Available online 30 June 2018Source: Applied Mathematics LettersAuthor(s): Chein-Shan Liu, Dongjie Liu By using the multiquadric radial basis function (MQ-RBF) method for solving the mixed boundary value problem as well as the Cauchy problem of the Laplace equation in an arbitrary plane domain, an energy gap functional (EGF) is proposed to choose the shape parameters. Upon minimizing the EGF we can pick up the optimal shape parameter and hence achieve the best accuracy of numerical solution. The performance of the minimizing EGF (MEGF) is assessed by numerical tests.
       
  • Ergodicity beyond asymptotically autonomous linear difference equations
    • Abstract: Publication date: Available online 30 June 2018Source: Applied Mathematics LettersAuthor(s): Mihály Pituk, Christian Pötzsche It is known that if the coefficient matrix of a linear autonomous difference equation is nonnegative and primitive, then the solutions starting from nonnegative nonzero initial data are strongly ergodic. The strong ergodic property of the nonnegative solutions was earlier extended to equations with asymptotically constant coefficients. In this paper, we present a generalization of the previous results by showing that the nonnegative solutions satisfy a similar ergodic property also in some cases when the coefficient matrices are not asymptotically constant.
       
  • Solving fourth order differential equations using particular solutions of
           Helmholtz-type equations
    • Abstract: Publication date: Available online 23 June 2018Source: Applied Mathematics LettersAuthor(s): Wanru Chang, C.S. Chen, Wen Li The availability of the closed-form particular solution for a given differential equation based on a chosen basis function is crucial for solving partial differential equations using the method of particular solutions. In general, the derivation of such a closed-form particular solution is by no means trivial, particularly for higher order partial differential equations. In this paper we give a simple algebraic procedure to avoid the direct derivation of the closed-form particular solutions for fourth order partial differential equations. One numerical example is given to demonstrate the effectiveness of our proposed approach.
       
  • Vortex solitons in Bose–Einstein condensates with inhomogeneous
           attractive nonlinearities and a trapping potential
    • Abstract: Publication date: Available online 20 June 2018Source: Applied Mathematics LettersAuthor(s): Si-Liu Xu, Milivoj R. Belić, Guo-Peng Zhou, Jun-Rong He, Xue-Li We demonstrate three-dimensional (3D) vortex solitary waves in the (3+1)D nonlinear Gross–Pitaevskii equation (GPE) with spatially modulated nonlinearity and a trapping potential. The analysis is carried out in spherical coordinates, providing for novel localized solutions, and the 3D vortex solitary waves are built that depend on three quantum numbers. Our analytical findings are corroborated by a direct numerical integration of the original equations. It is demonstrated that the vortex solitons found are stable for the quantum numbers n≤2, l≤2 andm=0,1, independent of the propagation distance.
       
  • Multi-soliton solutions for a (2+1)-dimensional variable-coefficient
           nonlinear Schrödinger equation
    • Abstract: Publication date: Available online 30 May 2018Source: Applied Mathematics LettersAuthor(s): Zhong-Zhou Lan In this paper, a (2+1)-dimensional variable-coefficient nonlinear Schrödinger equation is investigated, which can describe an inhomogeneous Heisenberg ferromagnetic spin chain with the octuple-dipole interaction or alpha helical protein with higher-order excitations and interactions under the continuum approximation. Bilinear forms, one- and two-soliton solutions are derived by virtue of the Hirota method with an auxiliary function. Propagation and interaction properties of the solitons are discussed: Parabolic, cubic and periodic solitons are presented. Solitonic amplitudes are only related to the wave numbers, while solitonic velocities are related to both the wave numbers and variable coefficients. Interactions between the two parallel solitons are discussed.
       
 
 
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