摘要
We study the existence of positive solutions of the equation f(x, y(x),y'(x)) =0 with either y(0)= y(1) =y'(0) = y'(1) =0 or y(0) = y'(1)=y'(0) = y'(1) = 0. We show the existence of at least one positive solution if f is either superlinear of sublinear by a simple application of a fixed point theorem In cones.
We study the existence of positive solutions of the equation f(x, y(x),y'(x)) =0 with either y(0)= y(1) =y'(0) = y'(1) =0 or y(0) = y'(1)=y'(0) = y'(1) = 0. We show the existence of at least one positive solution if f is either superlinear of sublinear by a simple application of a fixed point theorem In cones.
