关于扰动微分方程零解稳定性若干定理的改进  

ON IMPROVEMENT OF THE THEOREMS ON STABILITY OF THE ZERO SOLUTION OF THE DISTURBED EQUATION

作　　者：湛少锋[1] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2005年第4期445-448,共4页Journal of Mathematics

摘　　要：本文运用Ляnунов第二方法研究扰动微分方程零解稳定性,分别研讨了所给扰动微分方程的局部稳定性、全局渐近稳定性以及全局一致渐近稳定性问题,得到若干定理,这些结果在一定条件下改进了文[1]的相应结果,运用更加广泛.In this paper the stability of the zero solution of the disturbed equation is studied by means of Liapunov’s second method. The author analyses local stability、global asymptotically stability and global uniformly asymptotically stability of the null solution of a given disturbed equation, and some theorems are obtained, which generalize the relative results of . These theorems are more general.

关 键 词：扰动微分方程组 局部稳定性 全局渐近稳定性 全局一致渐近稳定性 

分 类 号：O175.13[理学—数学]