Abstract
In this paper, using a simple and classical application of the Leray-Schauder
degree theory, we study the existence of solutions of the following boundary value
problem for functional differential equations
x″(t)+f(t,xt,x′(t))=0, t∈[0,T]x0+αx′(0)=hx(T)+βx′(T)=η
where f∈C([0,T]×Cr×ℝn,ℝn), h∈Cr, η∈ℝn and α, β, are real constants.