Positive solutions of four-point boundary value problem for fourth order ordinary differential equation
In this paper, the fourth order differential equation with four-point boundary value problem y((4))(t) - f(t, y(t)), y ''(t)) = 0, 0 <= t <= 1, y(0) = y(1) = 0, ay ''(xi(1)) - by'''(xi(1)) = 0, cy ''(xi(2)) + dy''' (xi(2)) = 0 is studied, where 0 <= xi(1) < xi(2) <= 1. Some sufficient conditions guaranteeing the existence of positive solution to the above four-point boundary value problem are obtained by using the Krasnosekii fixed point theorem. (C) 2010 Elsevier Ltd. All rights reserved.
positive solutions four-point boundary value problem fixed point