The method of lower and upper solutions for third order singular four point boundary value problems

DOI10.1007/s12190-010-0403-xzbMath1220.34040OpenAlexW1978678264MaRDI QIDQ545590

Wei Dong, Zhongli Wei, Jian Zhang

Publication date: 22 June 2011

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

Full work available at URL: https://doi.org/10.1007/s12190-010-0403-x

zbMATH Keywords

existencelower and upper solutionspositive solutionsSchauder's fixed point theoremboundary value problems

Mathematics Subject Classification ID

Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16)

Related Items (3)

Unnamed Item ⋮ Existence and uniqueness of solutions for a nonlinear fractional differential equation ⋮ Positive solution for singular third-order BVPs on the half line with first-order derivative dependence

Cites Work

• Unnamed Item
• Multiple fixed-sign solutions for a system of generalized right focal problems with deviating arguments
• A necessary and sufficient condition for existence of positive solutions of nonlinear boundary value problems
• Positive solutions of singular sublinear Emden-Fowler boundary value problems
• Green's function for a third-order generalized right focal problem.
• Positive solutions of singular third-order three-point boundary value problem
• Existence of positive solutions for 2\(n\)th-order singular sublinear boundary value problems
• Multiple solutions and eigenvalues for third-order right focal boundary value problems

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