REPRESENTATIONS OF SOLUTIONS TO PERIODIC CONTINUOUS LINEAR SYSTEM AND DISCRETE LINEAR SYSTEM

被引：1

作者：

Kim, Dohan ^{[1
]}

Shin, Jong Son ^{[2
]}

机构：

[1] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

[2] Hosei Univ, Fac Sci & Engn, Tokyo 1848584, Japan

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2014年 / 51卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

representation of solutions; periodic linear continuous system; linear discrete system;

D O I：

10.4134/BKMS.2014.51.4.933

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a representation of the component of solutions with characteristic multiplier 1 in a periodic linear inhomogeneous continuous system. It follows from this representation that asymptotic behaviors of the component of solutions to the system and to its associated homogeneous system are quite different, though they are similar in the case where the characteristic multiplier is not 1. Moreover, the representation is applicable to linear discrete systems with constant coefficients.

引用

页码：933 / 942

页数：10

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