一类三阶微分方程边值问题解的存在性

the Existence of Solution of Boundary Value Problem for Third Order Ordinary Differential Equations

考虑如下微分方程边值问题u+f(t,u)=0 t∈[0,1](1)u′(0)=u″(0)=u′(1)=0(2)采用上、下解的方法和Schaudler原理把上述边值问题转化为初值问题,从而确定该问题的解是存在的。

In this paper, the Schaudler thery and upper and lower solution were used tof studying the existene of solntion of boum day value problem forthivd order ordinary difforential equatioms u＇＂＋f（t,u）=0（0≤t≤1） ahich statisfies the Condition u＇（0）=u＂（0）=u＇（1）=0 ue Convert the boundany of problem is existent.