Existence of periodic solutions for a class of difference systems with \(p\)-Laplacian

DOI10.1155/2012/135903zbMath1254.39009OpenAlexW2167867600WikidataQ58694905 ScholiaQ58694905MaRDI QIDQ448586

Qiongfen Zhang, Kai Chen

Publication date: 7 September 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/135903

zbMATH Keywords

periodic solutionscritical point theory\(p\)-Laplacianleast action principleminimax methodsdifference systems

Mathematics Subject Classification ID

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

Cites Work

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• Existence of nonconstant periodic solutions for a nonlinear discrete system involving the \(p\)-Laplacian
• Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach
• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian
• Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential
• Existence and multiple solutions for a second-order difference boundary value problem via critical point theory
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Multiple solutions for a system of \((n_i p_i)\) boundary value problems
• Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation
• Periodic solutions of first order linear 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
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Periodic solutions of higher-dimensional discrete systems
• PERIODIC SOLUTIONS OF SECOND ORDER SELF-ADJOINT DIFFERENCE EQUATIONS

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