关于变系数线性方程的稳定性  

ON THE STABILITY OF LINEAR EQUATION WITH VARYING COEFFICIENTS

作　　者：肖淑贤[1] 

机构地区：[1]华中理工大学数学系

出　　处：《系统科学与数学》1996年第2期149-158,共10页Journal of Systems Science and Mathematical Sciences

摘　　要：本文给出了变系数线性方程有关稳定性的一些简洁的判据．对周期系数线性方程，给出了较为精确的渐近稳定性判据．从理论上解释了原先“冻结系数法”一般不能成立的原因．in this paper, first, the stability of the linear equation with varying coefficients is investigated. Some simple criteria of stability are given. Secondly, for the linear equation with periodic coefficients one of the more exact criteria of asymptotic stability is given. Finally,the reason for the appearance of two kinds of results concerning the method of coefficiellts freezing is explained.

关 键 词：变系数线性方程 稳定性 微分方程 冻结系数法 

分 类 号：O175.13[理学—数学]