Existence and Multiplicity of Periodic Solutions for Nonautonomous Second-Order Discrete Hamiltonian Systems

DOI10.33205/cma.796813zbMath1488.39006OpenAlexW3108029831MaRDI QIDQ5006177

Yuyou Zhong, Chun-gen Liu

Publication date: 13 August 2021

Published in: Constructive Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33205/cma.796813

zbMATH Keywords

periodic solutioncritical point theorythe least action principlesecond-order discrete Hamiltonian system

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Linear difference operators (47B39)

Cites Work

• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Critical point theory and Hamiltonian systems
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Existence of periodic solutions for a class of second order discrete Hamiltonian systems
• Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
• Periodic solutions for second-order discrete Hamiltonian systems
• Remarks on finding critical points
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Periodic solutions of higher-dimensional discrete systems