STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS

DOI10.11568/kjm.2015.23.4.665zbMath1433.39004OpenAlexW2230917148MaRDI QIDQ5217053

Yuji Liu, Xiao-Hui Yang

Publication date: 21 February 2020

Published in: Korean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11568/kjm.2015.23.4.665

zbMATH Keywords

positive solutionboundary value problemfixed point theoremhomoclinic solutionbilateral difference systemone-dimension Laplacian

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Discrete version of topics in analysis (39A12) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic and subharmonic solutions for fourth-order nonlinear difference equations
• Homoclinic solutions for a second order difference equation with \(p\)-Laplacian
• Homoclinic solutions for second order discrete \(p\)-Laplacian systems
• Homoclinic solutions of some second-order non-periodic discrete systems
• Homoclinic solutions of difference equations with variable exponents
• Homoclinic orbits of second order nonlinear functional difference equations with Jacobi operators
• Nonexistence and existence results for a class of fourth-order difference Neumann boundary value problems
• Nonexistence and existence results for a \(2n\)th-order discrete mixed boundary value problem
• Existence of heteroclinic solutions for discrete \(p\)-Laplacian problems with a parameter
• Homoclinic solutions in periodic difference equations with saturable nonlinearity
• Existence of homoclinic solutions for a class of nonlinear difference equations
• Homoclinic solutions of non-autonomous difference equations arising in hydrodynamics
• On homoclinic solutions of a semilinear \(p\)-Laplacian difference equation with periodic coefficients
• Existence of periodic solutions of fourth-order nonlinear difference equations
• Nonexistence and existence results for a 2\textit{n}th-order discrete Dirichlet boundary value problem
• Multiple positive solutions for discrete nonlocal boundary value problems
• Three solutions to Dirichlet boundary value problems for \(p\)-Laplacian difference equations
• Multiple solutions for a discrete boundary value problem involving the \(p\)-Laplacian
• Positive solutions of multi-point BVPs for second-order \(p\)-Laplacian difference equations
• Multiple solutions for discrete boundary value problems
• Explicit solutions of implicit second-order difference systems in unbounded bilateral domains
• Boundary value problems for general discrete systems on infinite intervals
• A numerical method for solving two-point boundary value problems over infinite intervals
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Nonlinear Urysohn discrete equations on the infinite interval: a fixed-point approach
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Time scale boundary value problems on infinite intervals
• Discrete systems on infinite intervals
• Three symmetric solutions of Lidstone boundary value problems for difference and partial difference equations
• Twin positive solutions of boundary value problems for finite difference equations with \(p\)-Laplacian operator
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Solutions of rational difference systems of order two
• Existence of homoclinic solutions for a class of difference systems involving \(p\)-Laplacian
• Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem
• Multiple solutions for the discrete \(p\)-Laplacian boundary value problems
• Existence of periodic solutions for a class of nonlinear difference equations
• Existence of periodic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian
• Existence of positive solutions of \(p\)-Laplacian difference equations
• Multiplicity theorems for discrete boundary value problems
• Periodic solutions of a class of nonlinear difference equations via critical point method
• Multiple positive solutions of quasi-linear boundary value problems for finite difference equations
• Multiple heteroclinic solutions of bilateral difference systems with Laplacian operators
• Solution for systems of difference equations of rational form of order two
• Existence of homoclinic orbits in discrete Hamiltonian systems without Palais–Smale condition
• Existence of positive solutions for a system of second-order multi-point discrete boundary value problems
• Existence and nonexistence results for a fourth-order discrete neumann boundary value problem
• Positive solutions for third order multi-point singular boundary value problems
• Eigenvalue problems for anisotropic discrete boundary value problems
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Positive Solutions of Three-point Nonlinear Discrete Second Order Boundary Value Problem
• Nonexistence and existence results for a class of fourth‐order difference Dirichlet boundary value problems
• Multiple positive solutions of boundary value problems for second-order discrete equations on the half-line
• Periodic solutions for fourth‐order nonlinear functional difference equations
• Cone compression and expansion fixed point theorems in Fréchet spaces with applications

This page was built for publication: STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS