Homoclinic solutions for a higher order difference equation with \(p\)-Laplacian

DOI10.1016/j.indag.2015.08.007zbMath1331.39004OpenAlexW2312083272MaRDI QIDQ904169

Lingju Kong

Publication date: 12 January 2016

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2015.08.007

zbMATH Keywords

variational methodsdifference equationshomoclinic solutions\(p\)-LaplacianFountain theoremCerami's condition

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Homoclinic and heteroclinic orbits for dynamical systems (37C29)

Related Items (9)

Existence of homoclinic solutions for nonlinear second-order coupled systems ⋮ On homoclinic solutions for a second order difference equation with \(p\)-Laplacian ⋮ On the existence and multiplicity of classical and weak solutions of a Hamiltonian integro-differential system and their equivalence relation ⋮ Existence of at least one homoclinic solution for a nonlinear second-order difference equation ⋮ Existence of homoclinic solutions for difference equations on integers via variational method ⋮ Existence of multiple anti-periodic solutions for a higher order nonlinear difference equation ⋮ Homoclinic solutions for a higher order difference equation ⋮ On an anisotropic discrete boundary value problem of Kirchhoff type ⋮ To study existence of at least three weak solutions to a system of over-determined Fredholm fractional integro-differential equations

Cites Work

• Homoclinic solutions for a second order difference equation with \(p\)-Laplacian
• Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian
• Multiple homoclinic solutions for the discrete \(p\)-Laplacian via critical point theory
• Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems
• Homoclinic orbits for second order self-adjoint difference equations
• Homoclinic solutions for a class of non-autonomous subquadratic second-order Hamiltonian systems
• Existence of homoclinic solutions for \(p(n)\)-Laplacian Hamiltonian systems on Orlicz sequence spaces
• \(p(x)\)-Laplacian equations satisfying Cerami condition
• Existence of periodic and subharmonic solutions for second-order \(p\)-Laplacian difference equations
• Banach space theory. The basis for linear and nonlinear analysis
• Anti-periodic solutions of higher order nonlinear difference equations: a variational approach
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