Multiple periodic solutions for superquadratic first-order discrete Hamiltonian systems

DOI10.1016/j.amc.2008.12.021zbMath1167.39002OpenAlexW4230579874MaRDI QIDQ1004439

Chun-Lei Tang, Shang-Jie Chen

Publication date: 10 March 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.12.021

zbMATH Keywords

periodic solutionscritical point theorydiscrete Hamiltonian system

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Discrete version of topics in analysis (39A12) Periodic solutions of difference equations (39A23)

Related Items (5)

Variational approach to a class of \(p\)-Laplacian systems on time scales ⋮ Periodic solutions for second-order difference equations with resonance at infinity ⋮ A non-autonomous Hamiltonian system on time scales ⋮ Multiple periodic solutions for the second-order nonlinear difference equations ⋮ Multiple periodic solutions for second-order discrete Hamiltonian systems

Cites Work

• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Periodic solutions of a discrete Hamiltonian system with a change of sign in the potential
• Multiplicity results for periodic solutions to second-order difference equations
• Multiple periodic solutions for discrete Hamiltonian systems
• Multiplicity of periodic solutions for second-order discrete Hamiltonian systems with a small forcing term
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system
• Periodic solutions for subquadratic discrete Hamiltonian systems
• Multiple periodic solutions to nonlinear discrete Hamiltonian systems
• Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
• Nontrivial periodic solutions for asymptotically linear resonant difference problem
• Remarks on finding critical points
• Periodic solutions of higher-dimensional discrete systems
• The existence of periodic and subharmonic solutions to subquadratic discrete Hamiltonian systems

This page was built for publication: Multiple periodic solutions for superquadratic first-order discrete Hamiltonian systems