On the existence of positive solutions of fourth-order difference equations

DOI10.1016/j.amc.2003.12.016zbMath1068.39008OpenAlexW2084898026MaRDI QIDQ1763228

Zhi Min He, Jian She Yu

Publication date: 22 February 2005

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.12.016

zbMATH Keywords

boundary value problemKrasnosel'skii's fixed point theoremfourth-order difference equationPositive solution

Mathematics Subject Classification ID

Related Items (36)

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Cites Work

• Unnamed Item
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• Positive solutions for nonlinear eigenvalue problems
• Existence of positive solutions for BVPs of fourth-order difference equations
• A fixed-point approach for nonlinear discrete boundary value problems
• Positive solutions and nonlinear eigenvalue problems for third-order difference equations
• On a nonlinear boundary value problem for fourth order equations
• On the existence of positive solutions of fourth-order ordinary differential equations
• Two positive solutions of a boundary value problem for difference equations

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