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

DOI10.1016/j.amc.2014.09.069zbMath1338.39017OpenAlexW2037881059MaRDI QIDQ297879

Lingju Kong

Publication date: 17 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.069

zbMATH Keywords

variational methodsdifference equationshomoclinic solutionsFountain theoremcerami's condition

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13)

Related Items (14)

An efficient meshless radial point collocation method for nonlinear \(p\)-Laplacian equation ⋮ On homoclinic solutions for a second order difference equation with \(p\)-Laplacian ⋮ On fast homoclinic solutions for second-order damped difference equations ⋮ Existence of homoclinic solutions for difference equations on integers via variational method ⋮ Homoclinic solutions for a higher order difference equation with \(p\)-Laplacian ⋮ On local and nonlocal discrete \(p\)-Laplacian equations via Clark's theorem ⋮ Existence of multiple anti-periodic solutions for a higher order nonlinear difference equation ⋮ Homoclinic solutions for a higher order difference equation ⋮ On the periodicity of a max-type rational difference equation ⋮ Homoclinic solutions for a higher order \(\phi_{\mathrm{c}} \)-Laplacian difference equation containing both advance and retardation ⋮ STUDIES ON BOUNDARY VALUE PROBLEMS FOR BILATERAL DIFFERENCE SYSTEMS WITH ONE-DIMENSIONAL LAPLACIANS ⋮ Critical point theory to isotropic discrete boundary value problems on weighted finite graphs ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Existence of homoclinic solutions for the discrete \(p(k)\)-Laplacian operator

Cites Work

• Existence of homoclinic solutions for second order difference equations with \(p\)-Laplacian
• Multiple homoclinic solutions for the discrete \(p\)-Laplacian via critical point theory
• Homoclinic solutions of difference equations with variable exponents
• 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
• Banach space theory. The basis for linear and nonlinear analysis
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