Positive solutions to \((n-1,1)\) \(m\)-point boundary value problems with dependence on the first order derivative

DOI10.1007/s10483-009-0413-xzbMath1177.34033OpenAlexW2005392630MaRDI QIDQ1030385

Yanping Guo, Changlong Yu, Yu-de Ji

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-009-0413-x

zbMATH Keywords

positive solutionGreen functionfixed point theorem in conesmultipoint \(n\)th order nonlinear BVP

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)

Related Items (7)

Positive solutions for a system of second-order multi-point discrete boundary value problems ⋮ Existence of positive solutions for a second-orderm+1-point discrete boundary value problem ⋮ Existence and multiplicity for positive solutions of a system of higher-order multi-point boundary value problems ⋮ Positive solutions for systems of nonlinear second-order multipoint boundary value problems ⋮ Positive solutions for a system of higher-order multi-point boundary value problems ⋮ Positive solutions for a system of second-order nonlinear multi-point eigenvalue problems ⋮ Positive solutions for a higher-order \(m\)-point boundary value problem

Cites Work

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• Existence theorems for a second order \(m\)-point boundary value problem
• Existence theorems for a second order three-point boundary value problem
• Positive solutions for three-point boundary value problems with dependence on the first order derivative.
• Positive solutions for second-order \(m\)-point boundary value problems
• Three positive solutions for second-order \(m\)-point boundary value problems
• Positive solutions of a nonlinear \(n\)th order boundary value problem with nonlocal conditions
• Positive solutions for (n − 1, 1) conjugate boundary value problems
• Positive solutions for second-order three-point boundary value problems

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