Unbounded perturbations of nonlinear discrete periodic problem at resonance

DOI10.1016/J.NA.2008.03.047zbMath1166.39008OpenAlexW2030532344MaRDI QIDQ1006696

Ru Yun Ma, Hui-li Ma

Publication date: 25 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.03.047

zbMATH Keywords

eigenvaluedifference equationsresonancenonlinear discrete boundary value problemsLeray-Schauder continuation method

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Nonlinear ordinary differential operators (34L30)

Related Items (6)

Necessary and sufficient condition for the existence of solutions to a discrete second-order boundary value problem ⋮ Principal eigenvalues of a second-order difference operator with sign-changing weight and its applications ⋮ Existence and uniqueness of positive solution for discrete multipoint boundary value problems ⋮ Multiple periodic solutions for resonant difference equations ⋮ Nonlinear discrete periodic boundary value problems at resonance ⋮ Positive solutions for nonlinear discrete periodic boundary value problems

Cites Work

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• Nonlinear discrete Sturm-Liouville problems
• Nontrivial solutions of boundary value problems of second-order difference equations
• Existence of non-spurious solutions to discrete Dirichlet problems with lower and upper solutions
• Unbounded perturbations of forced second order ordinary differential equations at resonance
• Boundary value problems for discrete equations
• Nonpositone discrete boundary value problems
• Unbounded perturbations of nonlinear second-order difference equations at resonance
• Eigenvalues of second-order difference equations with periodic and antiperiodic boundary conditions
• Nonlinear Two Point Boundary Value Problems at Resonance Without Landesman-Lazer Condition

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