一类两阶两点边值问题的可解性

Existence of solutions for a two-point boundary value problem

在不限制ｆ增长的条件下，利用基于度理论的一个不动点定理，讨论两阶两点边值问题ｘ"＝ｆ（ｔ，ｘ；ｘ'），０＜ｘ＜１，ｘ（０）＝ｘ'（１）＝０的可解性。

By using Lerary-Schauder's fixed point theorm, the authors study the sovalbility of two- order two - point boundary problems x'= f (t, x, x'), 0 < t< 1, x(0) = x' (1) = 0, and obtain existence results without any growth restriction on f.