STABILITY THEOREMS OF PERTURBED LINEAR ORDINARY DIFFERENTIAL-EQUATIONS

被引：6
|
作者：
TANIGUCHI, T
机构：
[1] Department of Mathematics, Kurume University, Kurume, Fukuoka, Miimachi
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1990年 / 149卷 / 02期
关键词：
D O I：
10.1016/0022-247X(90)90064-M
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a sufficient condition to ensure that if the zero solution of a linear differential equation is uniform-asymptotically stable, then the zero solution of its perturbed linear differential equation is also uniform-asymptotically stable. Our theorem is a generalization of Perron's celebrated theorem and is proved by the comparison theorem of integral inequalities. © 1990.
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页码：583 / 598
页数：16
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