一类三点边值问题的微分不等式及其奇异摄动

Differential Inequalities and Singular Perturbation for a Class of Three-point Boundary Value Problem

本文先研究如下类型的三点边值问题{y″=f(t,y,y′),a＜t＜c y(a)=A,y(b)=y(c)的微分不等式理论,然后利用所得到的定理,研究如下形式的二阶拟线性微分方程的边值问题{εy″=f(t,y)y′+g(t,y) y(a)=A,y(b)=y(c)的奇异摄动.

In this paper, we first research the theory of differential inequalities for this class of three-point boundary value problem as following：{y″=f（t,y,y′）,a〈t〈c y（a）=A,y（b）=y（c） Then using the results .obtained, we research the singular perturbation differential equation ofthree-point boundary value problem for second order quasi-linearity as following：{εy″=f（t,y）y′＋g（t,y） y（a）=A,y（b）=y（c）