Homoclinic solutions for second order discrete \(p\)-Laplacian systems

DOI10.1186/1687-1847-2011-57zbMath1273.34050OpenAlexW2104296858WikidataQ59267762 ScholiaQ59267762MaRDI QIDQ372428

Xiaofei He, Peng Chen

Publication date: 7 October 2013

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2011-57

zbMATH Keywords

homoclinic solutionsdiscrete variational methods\(p\)-Laplacian systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (7)

Existence and multiplicity of homoclinic solutions for difference systems involving classical \((\phi_{1},\phi_{2})\)-Laplacian and a parameter ⋮ Homoclinic solutions for a class of nonlinear difference systems with classical \((\phi_{1}, \phi_{2})\)-Laplacian ⋮ Existence of periodic solutions for a class of discrete systems with classical or bounded (phi_1,phi_2)-Laplacian ⋮ Multiple periodic solutions for two classes of nonlinear difference systems involving classical (ϕ1,ϕ2)-Laplacian ⋮ Existence of homoclinic solutions for a class of difference systems involving \(p\)-Laplacian ⋮ Homoclinic orbits and subharmonics for second order \(p\)-Laplacian difference equations ⋮ STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS

Cites Work

• Unnamed Item
• Unnamed Item
• Homoclinic orbits for second order nonlinear \(p\)-Laplacian difference equations
• Existence of homoclinic orbits for \(2n\)th-order nonlinear difference equations containing both many advances and retardations
• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation
• New existence of homoclinic orbits for a second-order Hamiltonian system
• Existence of homoclinic solutions for the second-order discrete \(p\)-Laplacian systems
• Homoclinic orbits for second order self-adjoint difference equations
• Existence and multiple solutions for a second-order difference boundary value problem via critical point theory
• Critical point theory and Hamiltonian systems
• Asymptotic behavior of solutions of a two term difference equation
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Dual variational methods in critical point theory and applications
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system
• Multiple positive solutions of singular discrete \(p\)-Laplacian problems via variational methods
• Periodic solutions of nonlinear second-order difference equations
• Homoclinic solutions for a class of the second order Hamiltonian systems
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS
• Homoclinic solutions for a class of second order discrete Hamiltonian systems
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential

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