Existence and multiplicity results for periodic solutions of nonlinear difference equations

DOI10.1080/10236190600654689zbMath1103.39003OpenAlexW2043162497MaRDI QIDQ5489336

Cristian Bereanu, Jean Mawhin

Publication date: 25 September 2006

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

Full work available at URL: https://doi.org/10.1080/10236190600654689

zbMATH Keywords

periodic solutionsupper and lower solutionsLandesman--Lazer conditionsAmbrosetti--Prodi conditions

Mathematics Subject Classification ID

Related Items (17)

Periodic solutions of second order nonlinear difference equations with discrete \(\phi\)-Laplacian ⋮ Periodic and Neumann problems for discrete \(p(\cdot )\)-Laplacian ⋮ Existence theorems for first-order equations on time scales with \(\Delta \)-Carathéodory functions ⋮ Landesman–Lazer conditions for difference equations involving sublinear perturbations ⋮ Discrete Fučík spectrum -- anchoring rather than pasting ⋮ Boundary value problems for second-order nonlinear difference equations with discrete φ-Laplacian and singular φ ⋮ Global structure of positive solutions for second-order difference equation with nonlinear boundary value condition ⋮ On first-order periodic boundary value problems and distributional Henstock-Kurzweil integrals ⋮ Existence of solutions for discretep-Laplacian with potential boundary conditions ⋮ Existence of periodic solutions of higher order nonlinear functional difference equations ⋮ Positive solutions for nonlinear discrete second-order boundary value problems with parameter dependence ⋮ Ground state periodic solutions for difference equations with discrete \(p\)-Laplacian ⋮ Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities ⋮ On variational methods for periodic discrete problems ⋮ Periodic solutions of some second order difference equations ⋮ Discrete boundary value problems involving oscillatory nonlinearities: small and large solutions ⋮ Ambrosetti-Prodi-type results for a class of difference equations with nonlinearities indefinite in sign

Cites Work

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• Existence of multiple solutions for second-order discrete boundary value problems
• Existence of multiple solutions for finite difference approximations to second-order boundary value problems
• Difference equations associated with fully nonlinear boundary value problems for second order ordinary differential equations
• A Multiplicity Result for Periodic Solutions of Forced Nonlinear Second order Ordinary Differential Equations
• A Simple Approach to Brouwer Degree Based on Differential Forms

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