摘要
本文先研究如下类型的三点边值问题{y″=f(t,y,y′),α<t<c y(a)=A,y(b)py(c)=B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的奇异摄动。{εy″=f(t,y)y′+g(t,y) y(a)=A,y(b)py(c)
In this paper,we firstly research the theory of differential inequalities for this class of three-pointed boundary value problem as following：
{y＇＇=f（t,y,y＇）,α〈t〈c
y（α）=A,y（b）-py（c）=B
Then using the results obtained, we research the singular perturbation differential equation of three-pointed boundary value problem for second order selinear as following：
{εy＇＇=f（t,y）y＇＋g（t,y）
y（α）=A,y（b）-py（c）=B
出处
《南平师专学报》
2007年第2期16-18,共3页
Journal of Nanping Teachers College
关键词
三点边值问题
微分不等式
奇异摄动
three-pointed boundary value problem, differential inequalities, singular perturbation
