Existence of periodic solutions for fourth-order difference equations

DOI10.1016/J.CAMWA.2005.03.004zbMath1086.39002OpenAlexW1996420122WikidataQ58005371 ScholiaQ58005371MaRDI QIDQ814069

Zhiming Guo, Xiaochun Cai, Jian She Yu

Publication date: 2 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.03.004

zbMATH Keywords

periodic solutioncritical point theoryvariational structurenonlinear difference equationlinking theoremfourth-order difference equation

Mathematics Subject Classification ID

Related Items (27)

Periodic and subharmonic solutions for fourth-order nonlinear difference equations ⋮ Existence of periodic solutions with minimal period for fourth-order discrete systems via variational methods ⋮ Existence of homoclinic orbits for fourth-order \(p\)-Laplacian difference equations ⋮ Periodic solutions of a \(2n\)th-order nonlinear difference equation ⋮ On variational and topological methods in nonlinear difference equations ⋮ Existence of periodic solutions for a class of fourth-order difference equation ⋮ Periodic solutions with minimal period for fourth-order nonlinear difference equations ⋮ Nonexistence and existence results for a class of fourth-order difference Neumann boundary value problems ⋮ Existence of periodic solutions of higher order nonlinear functional difference equations ⋮ Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem ⋮ Multiple solutions for a fourth-order difference boundary value problem with parameter via variational approach ⋮ Homoclinic solutions for a class of fourth‐order difference equations ⋮ Nonexistence and existence results for a class of fourth‐order difference Dirichlet boundary value problems ⋮ A study on periodic solutions of higher order nonlinear functional difference equations withp-Laplacian† ⋮ Existence theorems of periodic solutions for fourth-order nonlinear functional difference equations ⋮ Nonexistence and existence results for a class of fourth-order difference mixed boundary value problems ⋮ Nonexistence and existence results for a fourth-order \(p\)-Laplacian discrete Neumann boundary value problem ⋮ Existence of periodic solutions of fourth-order nonlinear difference equations ⋮ On the nonexistence and existence of solutions for a fourth-order discrete boundary value problem ⋮ Existence of solutions to a discrete fourth order periodic boundary value problem ⋮ Existence of solutions for a nonlinear algebraic system ⋮ Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems ⋮ The existence of periodic solutions of higher order nonlinear periodic difference equations ⋮ Periodic solutions for fourth‐order nonlinear functional difference equations ⋮ Periodic and subharmonic solutions for \(2n\)th-order \(p\)-Laplacian difference equations ⋮ Multiplicity and minimality of periodic solutions to fourth-order super-quadratic difference systems ⋮ Nonexistence and existence results for a fourth-order \(p\)-Laplacian discrete mixed boundary value problem

Cites Work

• Unnamed Item
• Unnamed Item
• On a class of fourth order linear recurrence equations
• Oscillatory and asymptotic behavior of certain fourth order difference equations
• On the existence of positive solutions of higher order difference equations
• Critical point theory and Hamiltonian systems
• Fourth-order nonlinear oscillations of difference equations
• On the solutions of fourth order difference equations
• Growth and oscillation properties of solutions of a fourth order linear difference equation
• A Disconjugacy Criterion of W. T. Reid for Difference Equations
• Oscillatory and asymptotic behaviour of fourth order nonlinear difference equations
• The (2,2)-disconjugacy of a fourth order difference equation

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