Nontrivial periodic solutions for asymptotically linear resonant difference problem

DOI10.1016/j.jmaa.2006.01.028zbMath1103.39005OpenAlexW1990040512WikidataQ58005354 ScholiaQ58005354MaRDI QIDQ2497414

Honghua Bin, Zhiming Guo, Jian She Yu

Publication date: 4 August 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.028

zbMATH Keywords

local linkingMorse theoryperiodic solutioncritical groupresonanceminimax methodssecond order difference equationsasymptotically linear difference equations

Mathematics Subject Classification ID

Related Items (24)

A note on existence of infinitely many periodic solutions for second-order nonlinear difference systems ⋮ Periodic solutions of second order discrete convex systems involving the \(p\)-Laplacian ⋮ Nontrivial solutions of second-order difference equations ⋮ Nontrivial solutions for discrete Kirchhoff-type problems with resonance via critical groups ⋮ Periodic solutions of second-order difference problem with potential indefinite in sign ⋮ Periodic solutions of second order nonlinear difference systems with \(\phi\)-Laplacian: A variational approach ⋮ Nontrivial solutions of a second order difference systems with multiple resonance ⋮ Nontrivial solutions for resonant difference systems via computations of the critical groups ⋮ Nonconstant periodic solutions of discrete \(p\)-Laplacian system via Clark duality and computations of the critical groups ⋮ 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 ⋮ Existence of multiple solutions of a second-order difference boundary value problem ⋮ Existence of solutions to boundary value problems for the discrete generalized Emden-Fowler equation ⋮ Applications of Conley index theory on difference equations with non-resonance ⋮ Homoclinic solutions for a class of second order discrete Hamiltonian systems ⋮ Existence and multiplicity of solutions of second-order difference boundary value problems ⋮ Subharmonic solutions and homoclinic orbits of second order discrete Hamiltonian systems with potential changing sign ⋮ Existence and multiplicity of solutions to discrete conjugate boundary value problems ⋮ Homoclinic solutions for a class of second order discrete Hamiltonian systems ⋮ Multiple periodic solutions for superquadratic first-order discrete Hamiltonian systems ⋮ Periodic and subharmonic solutions for a \(2n\)th-order difference equation containing both advance and retardation with \( \phi\)-Laplacian ⋮ Nontrivial periodic solutions for nonlinear second-order difference equations ⋮ Multiple periodic solutions for non-linear difference systems involving thep-Laplacian ⋮ Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential

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