Existence and uniqueness of a positive solution for a third-order three-point boundary-value problem

Electronic Journal of Differential Equations

关键词: Three point singular boundary value problem;    positive solutions;    third order differential equation;    existence;    uniqueness;    fixed points in cones;    Green's functions;   

DOI  :  

来源: DOAJ

【 摘 要 】

In this work we study a third-order three-point boundary-valueproblem (BVP). We derive sufficient conditions that guaranteethe positivity of the solution of the corresponding linear BVPThen, based on the classical Guo-Krasnosel'skii's fixed pointtheorem, we obtain positive solutions to the nonlinear BVP.Additional hypotheses guarantee the uniqueness of the solution.

【 授权许可】

Unknown