Optimal existence results for \(n\)th order periodic boundary value difference equations

DOI10.1006/jmaa.2000.6824zbMath0962.39006OpenAlexW2035611208MaRDI QIDQ1576967

Victoria Otero-Espinar, Alberto Cabada

Publication date: 14 June 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6824

zbMATH Keywords

periodic solutionslower and upper solutionsdifference operatorperiodic boundary conditionsnonlinear difference equationGreen functioninverse positive operator

Mathematics Subject Classification ID

Related Items (22)

Criteria for Existence and Nonexistence of Positive Solutions to a Discrete Periodic Boundary Value Problem ⋮ Existence of solutions to nonlinear first-order PBVPs on time scales ⋮ Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales ⋮ Extremal solutions and Green's functions of higher order periodic boundary value problems in time scales. ⋮ Existence and multiplicity of positive solutions to nonlinear first-order PBVPs on time scales ⋮ The antipodal mapping theorem and difference equations in Banach spaces† ⋮ Existence results for \(\varphi \)-Laplacian boundary value problems on time scales ⋮ Existence of positive solutions fornth-order periodic difference equations ⋮ Twin positive solutions of nonlinear first-order boundary value problems on time scales ⋮ Second-order periodic boundary value problems on time scales ⋮ Positive solutions for system of first-order dynamic equations ⋮ Multiplicity results for nonlinear periodic fourth order difference equations with parameter dependence and singularities ⋮ Monotone Method for Second Order Periodic Boundary Value Problems and Periodic Solutions of Delay Difference Equations ⋮ Positive solutions to nonlinear first-order PBVPs with parameter on time scales ⋮ First order difference equations with maxima and nonlinear functional boundary value conditions ⋮ Nontrivial periodic solutions for nonlinear second-order difference equations ⋮ Fixed sign solutions of second-order difference equations with Neumann boundary conditions ⋮ Existence and uniqueness results for discrete second-order periodic boundary value problems ⋮ Existence and comparison results for difference \(\phi\)-Laplacian boundary value problems with lower and upper solutions in reverse order ⋮ Extremal solutions for the difference \(\phi\)-Laplacian problem with nonlinear functional boundary conditions ⋮ Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities ⋮ Distribution of zeros of solutions to functional equations

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