On linear and nonlinear fourth-order eigenvalue problems with nonlocal boundary condition

DOI10.1155/2013/932145zbMath1271.34022OpenAlexW2054050732WikidataQ59012770 ScholiaQ59012770MaRDI QIDQ1951093

Dong-Ming Yan

Publication date: 29 May 2013

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/932145

zbMATH Keywords

positive solutionfixed point indexKrein-Rutman theoremfourth-order eigenvalue problems

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Linear boundary value problems for ordinary differential equations (34B05) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

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• Existence and multiplicity of solutions for fourth-order boundary value problems with three parameters
• Existence of positive solutions of a fourth-order boundary value problem
• Multiple solutions for fourth-order boundary value problem
• Existence and uniqueness theorems for the bending of an elastic beam equation

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