Li Li, Jianqiang Gao, "The Existence of Positive Solutions for a Class of Singular Third-Order Three-Point Boundary Value Problem," WSEAS Transactions on Mathematics, vol. 13, pp. 863-872, 2014, DOI:
Li Li, Jianqiang Gao. The Existence of Positive Solutions for a Class of Singular Third-Order Three-Point Boundary Value Problem.
WSEAS Transactions on Mathematics. 2014;13:863-872.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 13, 2014
The Existence of Positive Solutions for a Class of Singular Third-Order Three-Point Boundary Value Problem
Authors: ,
Abstract: The existence of positive solutions for a class of singular third-order three-point boundary value problem is considered by using Guo-Krasnosel’skii fixed point theorem of cone expansion-compression type. In this class of problem, the nonlinear term is allowed to be singular. Main results show that this class of problem can have positive solutions provided that the conditions on the nonlinear term on some bounded sets are appropriate.
Keywords:
Third-order ordinary differential equation, Three-point boundary value problem, Singular nonlinearity, Fixed point theorem on cone, Existence of positive solutions
Pages: 863-872 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #84 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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