Nontrivial solutions of singular fourth-order Sturm-Liouville boundary value problems with a sign-changing nonlinear term

DOI10.1016/j.amc.2011.01.071zbMath1213.34045OpenAlexW1989235203MaRDI QIDQ632924

Xinan Hao, Wenxi Fan, Yong-Hong Wu, Li Shan Liu

Publication date: 28 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.071

zbMATH Keywords

eigenvaluenontrivial solutiontopological degreesign-changingsingular fourth-order BVPs

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Applications of operator theory to differential and integral equations (47N20) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (10)

Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems ⋮ On the existence of positive solutions for a fourth-order boundary value problem ⋮ Existence and uniqueness of solutions to the nonlinear boundary value problem for fourth-order differential equations with all derivatives ⋮ Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity ⋮ Nontrivial solutions for the \(2n^{\text{th}}\) Lidstone boundary value problem ⋮ Solutions for integral boundary value problems of nonlinear Hadamard fractional differential equations ⋮ Positive solutions for a fourth-order Riemann-Stieltjes integral boundary value problem ⋮ Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives ⋮ Nontrivial solutions for a higher order nonlinear fractional boundary value problem involving Riemann-Liouville fractional derivatives ⋮ Existence of nontrivial solutions for a nonlinear second order periodic boundary value problem with derivative term

Cites Work

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• Positive solutions to certain classes of singular nonlinear second order boundary value problems
• Nonnegative solutions of singular boundary value problems with sign changing nonlinearities
• Solvability for a nonlinear second-order three-point boundary value problem
• Eigenvalues of fourth-order singular Sturm-Liouville boundary value problems
• Positive solutions of singular boundary value problems for systems of nonlinear fourth order differential equations
• Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions

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