Asymptotic equivalence of abstract impulsive differential equations

被引：5
作者：
Bainov, DD
Kostadinov, SI
Myshkis, AD
机构：
[1] PAISIJ HILENDARSKI UNIV PLOVDIV,DEPT MATH,BU-4000 PLOVDIV,BULGARIA
[2] MOSCOW RAILROAD TRANSPORT ENGN INST,DEPT MATH,MOSCOW,RUSSIA
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 1996年 / 35卷 / 02期
关键词：
D O I：
10.1007/BF02083822
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The notion of (h, k)-dichotomy is introduced, which is a generalization of the classical exponential dichotomy. By means of the Schauder-Tychonoff theorem an asymptotic equivalence is proved between a linear impulsive differential equation which is (h, k)-dichotomous and the corresponding perturbed nonlinear equation.
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收藏
页码：383 / 393
页数：11
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