Twin positive solutions for higher order m-point boundary value problems with sign changing nonlinearities.

DOI10.1016/S0096-3003(02)00542-8zbMath1037.34016OpenAlexW2170379442MaRDI QIDQ1412525

Yanping Guo, Weigao Ge, Ying Gao

Publication date: 25 November 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00542-8

zbMATH Keywords

Green's functionPositive solutionFixed-point theorem on double conesHigher order m-point boundary value problem

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (13)

Two positive solutions for second-order quasilinear differential equation boundary value problems with sign changing nonlinearities ⋮ Multiple positive solutions of a boundary value problem for a class of \(2n\)th-order \(m\)-point singular integro-differential equations in Banach spaces ⋮ Existence and uniqueness of positive solutions for an integral boundary value problem ⋮ Positive solutions for 2\(n\)th-order singular sub-linear \(m\)-point boundary value problems ⋮ A necessary and sufficient condition for 2\(n\)th-order singular super-linear \(m\)-point boundary value problems ⋮ Positive solutions of m-point boundary value problems for higher order ordinary differential equations ⋮ On 2nth-order nonlinear multi-point boundary value problems ⋮ The iterative solutions of \(2n\)th-order nonlinear multi-point boundary value problems ⋮ A necessary and sufficient condition for the existence of symmetric positive solutions of higher-order boundary value problems ⋮ A fourth-order compact finite difference method for nonlinear higher-order multi-point boundary value problems ⋮ Positive solutions of an \(m\)-point boundary value problem with sign changing nonlinearities ⋮ Positive pseudo-symmetric solutions for higher order differential equation boundary value problems with sign changing nonlinearities ⋮ Multiple positive solutions of a \(m\)-point boundary value problem for \(2n\)th-order singular integro-differential equations in Banach spaces

Cites Work

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• Solvability of \(m\)-point boundary value problems with nonlinear growth
• General Lidstone problems: Multiplicity and symmetry of solutions
• An extension of Tietze's theorem
• On an M-point boundary value problem
• Existence of solutions of nonlinear \(m\)-point boundary-value problems
• Positive solutions for second-order three-point boundary value problems
• Positive solutions of a nonlinear \(m\)-point boundary value problem

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