A note on existence of infinitely many periodic solutions for second-order nonlinear difference systems

DOI10.1186/s13662-016-1025-xzbMath1419.39030OpenAlexW2557104159WikidataQ59468536 ScholiaQ59468536MaRDI QIDQ1628307

Sheng Ma, Qin Jiang

Publication date: 4 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-1025-x

zbMATH Keywords

variational methodssaddle point theoremsecond-order difference systemsinfinitely many periodic solutions

Mathematics Subject Classification ID

Periodic solutions of difference equations (39A23)

Related Items (1)

Multiplicity results involving \(p\)-biharmonic Kirchhoff-type problems

Cites Work

• Multiple periodic solutions for second-order discrete Hamiltonian systems
• Existence of periodic and subharmonic solutions for second-order superlinear difference equations
• Critical point theory and Hamiltonian systems
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• Existence of multiple positive periodic solutions for nonlinear functional difference equations
• 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
• Nontrivial periodic solutions for asymptotically linear resonant difference problem
• 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
• Solutions of a second-order Hamiltonian system with periodic boundary conditions
• Unnamed Item

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