Existence of solutions of boundary value problems for functional differential equations

[摘要] In this paper, using a simple and classical application of the Leray-Schauderdegree theory, we study the existence of solutions of the following boundary valueproblem for functional differential equationsx″(t)+f(t,xt,x′(t))=0,   t∈[0,T]x0+αx′(0)=hx(T)+βx′(T)=ηwheref∈C([0,T]×Cr×ℝn,ℝn),h∈Cr,η∈ℝnandα,β, are real constants.

[学科分类] 数学（综合）