The existence of countably many positive solutions for some nonlinear \(n\)th-order \(m\)-point boundary value problems

DOI10.1016/j.cam.2009.05.023zbMath1180.34021OpenAlexW2087839364MaRDI QIDQ843121

Yanping Guo, Yu-de Ji

Publication date: 29 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.cam.2009.05.023

zbMATH Keywords

Green's functionboundary value problemHölder's inequalityKrasnoselskii's fixed point theoremmultiple positive solution

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

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Cites Work

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• Positive solutions for (n − 1, 1) conjugate boundary value problems
• Existence of solutions of nonlinear \(m\)-point boundary-value problems
• Positive solutions for second-order three-point boundary value problems