%0 Journal Article
%T Existence and uniqueness of a positive solution for a third-order three-point boundary-value problem
%A Alex P. Palamides
%A Nikolaos M. Stavrakakis
%J Electronic Journal of Differential Equations
%D 2010
%I Texas State University
%X In this work we study a third-order three-point boundary-value problem (BVP). We derive sufficient conditions that guarantee the positivity of the solution of the corresponding linear BVP Then, based on the classical Guo-Krasnosel'skii's fixed point theorem, we obtain positive solutions to the nonlinear BVP. Additional hypotheses guarantee the uniqueness of the solution.
%K Three point singular boundary value problem
%K positive solutions
%K third order differential equation
%K existence
%K uniqueness
%K fixed points in cones
%K Green's functions
%U http://ejde.math.txstate.edu/Volumes/2010/155/abstr.html