时变线性微分方程组的极限圆型的判别准则

Limit-Cricle Criterions for System of Variable Coefficient Linear Differential Equations

本文讨论了时变线性微分方程组极限圆型的分类问题,利用冻结系数法及常数交易法等,获得了一些充分性的判别准则,作为特殊情况,得到了方程(r(t)x＇(t))＇+q(t)x(t)=0 (2)是极限圆型的若干充分准则。

In this paper, We discussed the limit-circle classification for system of Variable Coefficient linear differential equations By method of Variation of Constants, W e obtained a few sufficient Conditions that equation( 1 )is limit-Circle In the special case, We obtained Criterions that equation (r(t)x'(t))'+q(t)x(t)= 0 is limit-circle.