Existence of homoclinic solutions for a class of difference systems involving \(p\)-Laplacian
type: Item
instance of: scholarly article
title: Existence of homoclinic solutions for a class of difference systems involving \(p\)-Laplacian
zbMATH Open document ID: 1417.34100
DOI: 10.1186/1687-1847-2014-291
author: Qiongfen Zhang
published in: Advances in Difference Equations
publication date: 2018-11-01T00:00:00Z
Mathematics Subject Classification ID: 34C37
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 37J45
Mathematics Subject Classification ID: 47J30
zbMATH DE Number: 6970580
zbMATH Keywords: homoclinic solutions
zbMATH Keywords: variational methods
zbMATH Keywords: difference \(p\)-Laplacian systems
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2014-291
OpenAlex ID: W2151435537
cites work: Existence of homoclinic orbits for a class of \(p\)-Laplacian systems in a weighted Sobolev space
cites work: Q4361694
cites work: On the existence of homoclinic orbits for a second-order Hamiltonian system
cites work: New existence of homoclinic orbits for a second-order Hamiltonian system
cites work: Periodic solutions of first order linear difference equations
cites work: Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
cites work: Existence of periodic and subharmonic solutions for second-order superlinear difference equations
cites work: Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
cites work: THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
cites work: Existence and multiple solutions for a second-order difference boundary value problem via critical point theory
cites work: Periodic solutions of nonlinear second-order difference equations
cites work: Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system
cites work: PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
cites work: Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation
cites work: Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential
cites work: Periodic solutions of higher-dimensional discrete systems
cites work: Notes on periodic solutions for a nonlinear discrete system involving the \(p\)-Laplacian
cites work: Non-constant Periodic Solutions for Second Order Hamiltonian System Involving the p-Laplacian
cites work: A note on the minimal periodic solutions of nonconvex superlinear Hamiltonian system
cites work: Some united existence results of periodic solutions for non-quadratic second order Hamiltonian systems
cites work: Existence of homoclinic orbits for a class of asymptotically \(p\)-linear difference systems with \(p\)-Laplacian
cites work: Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation
cites work: Homoclinic solutions for second order discrete \(p\)-Laplacian systems
cites work: Existence of homoclinic solutions for a class of nonlinear difference equations
cites work: Existence of homoclinic orbits for \(2n\)th-order nonlinear difference equations containing both many advances and retardations
cites work: Existence of nontrivial homoclinic orbits for fourth-order difference equations
cites work: Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems
cites work: Homoclinic orbits and subharmonics for nonlinear second order difference equations
cites work: Homoclinic orbits for second order self-adjoint difference equations
cites work: Homoclinic orbits for nonlinear difference equations containing both advance and retardation
cites work: Infinitely many homoclinic solutions for the second-order discrete \(p\)-Laplacian systems
cites work: Q5502548
cites work: Existence of infinitely many homoclinic orbits in Hamiltonian systems
cites work: Weighted Sobolev spaces and the nonlinear Dirichlet problem in unbounded domains
Wikidata QID: Q59324472
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description: scientific article; zbMATH DE number 6970580