The existence of positive solutions for a class of singular third-order three-point boundary value problem
نویسندگان
چکیده
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. Key–Words: Third-order ordinary differential equation, Three-point boundary value problem, Singular nonlinearity, Fixed point theorem on cone, Existence of positive solutions
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