障碍带条件下一类三阶边值问题解的存在性

Existence of Solutions for a Class of Third Order Boundary Value Problems under Barrier Strips Conditions

在障碍带条件下研究非线性常微分方程三阶两点边值问题x=f(t,x,x′,x″),t∈[0,1]x(0)=x′(0)=x″(1)=0,解的存在性,其中f:[0,1]×R3→R为连续函数.

The existence of solutions for the nonlinear third - order tw~ - point boundary value problem （t,x′,x″）,t∈[0,1] x（0）=x′（0）=x″（1）=0.is discussed in this paper,if function f：[0,1][0,1]×R^3→R is continuous and satisfies barrier strips conditions.