Periodic and subharmonic solutions for a \(2n\)th-order difference equation involving \(p\)-Laplacian

DOI10.1016/j.indag.2013.04.003zbMath1284.39016OpenAlexW1987648017MaRDI QIDQ391069

Yuanbiao Zhang, Xia Liu, Xiaoqing Deng, Hai-Ping Shi

Publication date: 9 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.indag.2013.04.003

zbMATH Keywords

critical point theory\(p\)-Laplacianperiodic and subharmonic solutions\(2n\)th-order nonlinear difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Quasilinear elliptic equations with (p)-Laplacian (35J92) Periodic solutions of difference equations (39A23)

Related Items (14)

Variational approach to anti-periodic boundary value problems involving the discrete \(p\)-Laplacian ⋮ Solutions for a fractional difference boundary value problem ⋮ Existence and multiple solutions for higher order difference Dirichlet boundary value problems ⋮ Homoclinic solutions for a higher order difference equation with \(p\)-Laplacian ⋮ Nontrivial periodic solutions to some semilinear sixth-order difference equations ⋮ Existence of multiple anti-periodic solutions for a higher order nonlinear difference equation ⋮ Homoclinic solutions for a higher order difference equation ⋮ Existence of homoclinic orbits for a higher order difference system ⋮ Existence of homoclinic solutions for higher-order periodic difference equations with \(p\)-Laplacian ⋮ Periodic and subharmonic solutions for a \(2n\)th-order \(p\)-Laplacian difference equation containing both advances and retardations ⋮ Existence of periodic solutions for higher order difference equations containing both many advances and retardations ⋮ Periodic and subharmonic solutions for a \(2n\)th-order difference equation containing both advance and retardation with \( \phi\)-Laplacian ⋮ Multiple solutions for the discrete \(p\)-Laplacian boundary value problems ⋮ Ground state solutions of the periodic discrete coupled nonlinear Schrödinger equations

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