摘要
研究一类具有高阶转点的二阶奇摄动线性常微分方程的边值问题与共振,得到其产生共振的必要条件,称之为Matkowsky条件;研究了Matkowsky条件的等价条件,并得到若方程满足Matkowsky条件,函数序列|Rm(r)|1/m在[0,1]上一致有界,则方程共振。
In this paper, a class of boundary value problems of ordinary differential equations with a higher order turning point and resonance are considered. We obtain the necessary condition of resonance called Matkowsky condition, the sufficient condition of resonance and the equal condition for Matkowsky condition.
出处
《杭州电子工业学院学报》
2004年第6期59-61,共3页
Journal of Hangzhou Institute of Electronic Engineering
关键词
奇摄动
转点
共振
必要条件
充分条件
singular perturbation
turning point
resonance
necessary condition
sufficient condition
