Symmetric positive solutions for nonlinear singular fourth-order eigenvalue problems with nonlocal boundary condition

DOI10.1155/2010/187827zbMath1196.34028OpenAlexW2065089810WikidataQ58650749 ScholiaQ58650749MaRDI QIDQ965752

Jian Liu, Fu Yi Xu

Publication date: 26 April 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230306

zbMATH Keywords

positive solutionssymmetric solutionsexistence of solutionsnonlocal boundary conditionsfixed point theoremfourth-order eigenvalue equation

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Cites Work

• A three point boundary value problem for nonlinear fourth order differential equations.
• Positive solutions of fourth-order singular three point eigenvalue problems
• Eigenvalues of fourth-order singular Sturm-Liouville boundary value problems
• Positive solutions of fourth-order nonlinear singular boundary value problems
• Second-order differential operators with integral boundary conditions and generation of analytic semigroups
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