Existence of solutions of boundary value problems for functional differential equations (Q1178790)

The existence of a solution of the problem \(x''(t)+f(t,x_ t,x'(t))=0\), \(t\in[0,T]\), \(x_ 0+\alpha x'(0)=h\), \(x(T)+\beta x'(T)=\eta\) where \(f\in C([0,T]\times C_ r\times R^ n,R^ n)\), \(h\in C_ r\), \(\eta\in R^ n\) and \(\alpha,\beta\) are real constants, is proved by means of the Leray-Schauder degree theory.