Infinitely many periodic solutions for second-order discrete Hamiltonian systems

DOI10.22436/jnsa.010.11.26zbMath1412.34143OpenAlexW2770773594MaRDI QIDQ5743306

Qin Xiao, Wen Guan, Da-Bin Wang

Publication date: 9 May 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.11.26

zbMATH Keywords

periodic solutionscritical pointminimax methodssublineardiscrete Hamiltonian systems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Cites Work

• Multibump solutions of a class of second-order discrete Hamiltonian systems
• Multiple periodic solutions for second-order discrete Hamiltonian systems
• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Periodic solutions of second order discrete Hamiltonian systems with potential indefinite in sign
• Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems
• Multiplicity results for periodic solutions to second-order difference equations
• Critical point theory and Hamiltonian systems
• Periodic and subharmonic solutions for superquadratic discrete Hamiltonian systems.
• Existence of periodic solutions for nonautonomous second-order discrete Hamiltonian systems
• Existence of a periodic solution for subquadratic second-order discrete Hamiltonian system
• Infinitely many periodic solutions for discrete second order Hamiltonian systems with oscillating potential
• Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
• Periodic solutions for second-order discrete Hamiltonian systems
• Multiplicity results for periodic solutions with prescribed minimal periods to discrete Hamiltonian systems
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Periodic solutions of higher-dimensional discrete systems
• Existence of periodic solutions for a class of second-order discrete Hamiltonian systems

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