%0 Journal Article
%T Double solutions of three-point boundary-value problems for second-order differential equations
%A Johnny Henderson
%J Electronic Journal of Differential Equations
%D 2004
%I Texas State University
%X A double fixed point theorem is applied to yield the existence of at least two nonnegative solutions for the three-point boundary-value problem for a second-order differential equation, $$displaylines{ y'' + f(y)=0,quad 0 leq t leq 1,cr y(0) =0,quad y(p) - y(1) = 0, }$$ where $0$ less than $p$ less than $1$ is fixed, and $f:mathbb{R} o [0, infty)$ is continuous.
%K Fixed point theorem
%K three-point
%K boundary-value problem.
%U http://ejde.math.txstate.edu/Volumes/2004/115/abstr.html