Uniqueness and existence results for a third-order nonlinear multi-point boundary value problem

DOI10.1016/j.amc.2008.05.132zbMath1166.34008OpenAlexW1973718166MaRDI QIDQ2378754

Xiaojie Lin, Wenbin Liu, Zeng-Ji Du

Publication date: 14 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.05.132

zbMATH Keywords

upper and lower solutionsnonlinear boundary value problemexistence and uniquenessLeray-Schauder degree

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (10)

A family of singular ordinary differential equations of the third order with an integral boundary condition ⋮ Successive iteration and positive solutions for a third-order boundary value problem involving integral conditions ⋮ Positive solutions for resonant and nonresonant nonlinear third-order multipoint boundary value problems ⋮ Monotone iterative method for the second-order three-point boundary value problem with upper and lower solutions in the reversed order ⋮ Existence and monotone iteration of positive pseudosymmetric solutions for a third-order four-point BVP ⋮ The shooting method and integral boundary value problems of third-order differential equation ⋮ Existence of solution for a class of \(n\)th-order multi-point boundary value problem ⋮ On the existence of positive solutions of resonant and nonresonant multipoint boundary value problems for third-order nonlinear differential equations ⋮ Unnamed Item ⋮ POSITIVE SOLUTION FOR NONLINEAR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM AT RESONANCE

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