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,[email protected][email protected]?1,y(0)=y(1)=0,ay^'^'(@x"1)-by^'^'^'(@x"1)=0,cy^'^'(@x"2)+dy^'^'^'(@x"2)=0 is studied, where [email protected][email protected]"1<@x"[email protected]?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.

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