Positive solutions for nonlinear discrete second-order boundary value problems with parameter dependence

DOI10.1016/j.jmaa.2011.01.047zbMath1260.39020OpenAlexW2026833275MaRDI QIDQ531866

Tieshan He, Yuan-Tong Xu

Publication date: 20 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.047

zbMATH Keywords

positive solutionsdifference equationsboundary value problemfixed point indexAmbrosetti-Prodi type result

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Additive difference equations (39A10) Discrete version of topics in analysis (39A12) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (9)

Existence of multiple solutions to second-order discrete Neumann boundary value problems ⋮ Solutions of the boundary value problem for a \(2n\)th-order nonlinear difference equation containing both advance and retardation ⋮ On positive periodic solutions of second-order difference equations with attractive-repulsive singularities ⋮ Multiple and sign-changing solutions for discrete Robin boundary value problem with parameter dependence ⋮ Positive periodic solutions of second-order difference equations with weak singularities ⋮ Existence of one-signed solutions of discrete second-order periodic boundary value problems ⋮ Reverse-order lower and upper functions for periodic problems of second-order singular difference equations ⋮ Sign-changing solutions for discrete second-order periodic boundary value problems ⋮ Nontrivial periodic solutions for nonlinear second-order difference equations

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