Existence of solutions of nonlinear fourth order discrete boundary value problem

DOI10.1080/10236190600573996zbMath1100.39019OpenAlexW1964008172WikidataQ58005346 ScholiaQ58005346MaRDI QIDQ5478754

Xiaochun Cai, Zhiming Guo

Publication date: 13 July 2006

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

Full work available at URL: https://doi.org/10.1080/10236190600573996

zbMATH Keywords

critical pointboundary value problemlinking theoremnonlinear fourth-order difference equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (11)

Nontrivial solutions for nonlinear discrete boundary value problems of the fourth order ⋮ Existence of non-spurious solutions to discrete fourth-order Lidstone boundary value problems ⋮ Existence of solutions to a discrete fourth order boundary value problem ⋮ On the existence of solutions for a system of difference equations with non-monotone nonlinearity ⋮ Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities ⋮ Positive solutions of boundary value problems for discrete and continuous beam equations ⋮ Existence of solutions to a discrete fourth order periodic boundary value problem ⋮ Existence of infinitely many solutions of nonlinear fourth-order discrete boundary value problems ⋮ Uniqueness and parameter dependence of positive solutions of a discrete fourth-order problem ⋮ Existence of multiple solutions to a discrete fourth order periodic boundary value problem via variational method ⋮ Unnamed Item

Cites Work

• Unnamed Item
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• Two-parameter nonresonance condition for the existence of fourth-order boundary value problems
• Asymptotic behavior of solutions of a two term difference equation
• A necessary and sufficient condition for the existence of positive solutions of fourth-order singular boundary value problems
• Fourth-order nonlinear oscillations of difference equations
• Multiple positive solutions of singular and nonsingular discrete problems via variational methods
• On the solutions of fourth order difference equations

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