Periodic solutions for second-order difference equations with resonance at infinity

DOI10.1080/10236191003730498zbMath1237.39011OpenAlexW2104384636WikidataQ58005312 ScholiaQ58005312MaRDI QIDQ3225493

Fenghua Tan, Zhiming Guo

Publication date: 21 March 2012

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236191003730498

zbMATH Keywords

periodic solutioncritical point theorydifference equation\(Z_p\) geometrical index theory

Mathematics Subject Classification ID

Periodic solutions of difference equations (39A23)

Related Items

Multiplicity results on discrete boundary value problems with double resonance via variational methods ⋮ On variational and topological methods in nonlinear difference equations ⋮ Standing waves solutions for the discrete Schrödinger equations with resonance ⋮ Boundary value problem for a second-order difference equation with resonance

Cites Work

• Unnamed Item
• Homoclinic orbits for second order self-adjoint difference equations
• Multiplicity results for periodic solutions to second-order difference equations
• Periodic solutions for nonlinear second-order difference equations
• The existence of solutions for a second-order discrete Neumann problem with a \(p\)-Laplacian
• Multiplicity of periodic solutions for second-order discrete Hamiltonian systems with a small forcing term
• Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign
• Multiple periodic solutions for superquadratic first-order discrete Hamiltonian systems
• Multiple solutions for discrete boundary value problems
• Subharmonic solutions with prescribed minimal period of a discrete forced pendulum equation
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Existence of nontrivial homoclinic orbits for fourth-order difference equations
• Multiplicity theorems for discrete boundary value problems
• Multiple periodic solutions to nonlinear discrete Hamiltonian systems
• Multiple periodic solutions for superquadratic second-order discrete Hamiltonian systems
• EXISTENCE OF PERIODIC SOLUTIONS OF A HIGHER ORDER DIFFERENCE SYSTEM
• A geometrical index for the groupZ p
• THE EXISTENCE OF PERIODIC AND SUBHARMONIC SOLUTIONS OF SUBQUADRATIC SECOND ORDER DIFFERENCE EQUATIONS
• Periodic solutions of difference equations
• Periodic solutions of higher-dimensional discrete systems
• The existence of solutions for second-order difference equations