Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem

DOI10.1080/1023619021000053566zbMath1056.39016OpenAlexW2122079764MaRDI QIDQ4812830

Alberto Cabada, F. Merdivenci Atici, Victoria Otero-Espinar

Publication date: 23 August 2004

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

Full work available at URL: https://doi.org/10.1080/1023619021000053566

zbMATH Keywords

lower and upper solutionspositive solutionsindex theorydiscrete periodic boundary value conditions

Mathematics Subject Classification ID

Related Items (17)

Solvability of discrete Dirichlet problem via lower and upper functions method ⋮ Discrete third-order three-point boundary value problem ⋮ Singular discrete and continuous mixed boundary value problems ⋮ On positive periodic solutions of second-order difference equations with attractive-repulsive singularities ⋮ Approximation of differential problems with singularities and time discontinuities ⋮ Singular discrete problem arising in the theory of shallow membrane caps ⋮ Positive periodic solutions for nonlinear repulsive singular difference equations ⋮ Positive periodic solutions of second-order difference equations with weak singularities ⋮ Existence of one-signed solutions of discrete second-order periodic boundary value problems ⋮ Existence and nonexistence of positive solutions to a right-focal boundary value problem on time scales ⋮ On a homoclinic point of an autonomous second-order difference equation ⋮ Existence of a periodic solution for~continuous and discrete periodic second-order equations with variable potentials ⋮ Reverse-order lower and upper functions for periodic problems of second-order singular difference equations ⋮ Singular second order boundary value problems on purely discrete time scales ⋮ On the existence of positive periodic solutions of systems of second order differential equations ⋮ Periodic solutions of some second order difference equations ⋮ Singular discrete second order BVPs withp-Laplacian

Cites Work

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• Existence and multiplicity of positive solutions to nonlinear boundary value problems
• Multiple positive solutions of some boundary value problems
• Optimal existence results for \(n\)th order periodic boundary value difference equations
• Existence of multiple solutions for second order boundary value problems
• Multiplicity of positive solutions for second-order three-point boundary value problems
• Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions
• Existence and uniqueness results for discrete second-order periodic boundary value problems
• Existence, multiplicity and nonexistence of positive solutions to a differential equation on a measure chain
• Multiple positive solutions of a nonlinear fourth order periodic boundary value problem
• On the existence of positive solutions for nonlinear differential equations with periodic boundary conditions

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