Lyapunov exponents of solutions to linear differential equations with periodic forcing functions

被引：2

作者：

Naito, Toshiki ^{[1
]}

Ngoc, Pham Huu Anh ^{[1
]}

Shin, Jong Son ^{[1
]}

机构：

[1] Univ Electrocommun, Chofu, Tokyo 1828585, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 342卷 / 01期

基金：

日本学术振兴会;

关键词：

linear differential equation with periodic forcing function; representation of solution; Lyapunov exponent of solution;

D O I：

10.1016/j.jmaa.2007.09.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give Lyapunov exponents of solutions to linear differential equations of the form x' = Ax + f (t), where A is a complex matrix and f (t) is a tau-periodic continuous function. Notice that f (t) is not "small" as t -> infinity. The proof is essentially based on a representation [J. Kato, T. Naito, J.S. Shin, A characterization of solutions in linear differential equations with periodic forcing functions, J. Difference Equ. Appl. 11 (2005) 1-19] of solutions to the above equation. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：349 / 353

页数：5