一类二阶四点边值问题的可解性

The solvability on second orderfour point boundary value problem

借助Ｌｅｒａｙ－Ｓｃｈａｕｄｅｒ非线性抉择，证明了二阶四点边值问题ｘ＂＝ｆ（ｔ，ｘ，ｘ′），ａ＜ｔ＜ｂ，ｘ（ａ）＝ｘ（ｃ）。

By using Leray Schauder’s nonlinear alternative,an existence theorem is established for the second order four point boundary value problem of formx″=f(t,x,x),a<t<b, x(a)=x(c),x(d)=x(b)where a<c≤d<b.