中文摘要：

本文讨论二阶微分方程两点边值问题解的存在性.在不限制f∈C（[0,1]×R^2,R）增长,但满足一定符号条件的前提下,应用Leray-Schauder度原理中的一个不动点定理,证明了上述边值问题解的存在性.

英文摘要：

This paper is concerned with existence of solutions of second order differential equations for two -point boundary value problem： x＇＇ = f（t, x, x＇ ） ,0 〈 x 〈 1, x （0） = x＇ （ 1 ） = 0. On the bases of not limiting the growth of f ∈ C（ [0,1 ] × R^2, R）and meeting the needs of some symbol conditions, by using Leray- Schauder＇s fixed point theorem, the authors obtain existence of solutions of above problem.