Non-uniform asymptotic stability for the damped linear oscillator

被引：4

作者：

Onitsuka, Masakazu ^{[1
]}

机构：

[1] Shimane Univ, Dept Math & Comp Sci, Matsue, Shimane 6908504, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 72卷 / 3-4期

关键词：

Damped linear oscillator; Nonautonomous systems; Asymptotic stability; Uniform asymptotic stability; Instability; Bessel's differential equation;

D O I：

10.1016/j.na.2009.08.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Sufficient conditions are established for non-uniform asymptotic stability of a linear oscillator with damping term. The obtained results clarify a difference between the uniform asymptotic stability and the asymptotic stability. Some simple examples are included to illustrate the results. Especially. Bessel's differential equations are taken up and it is proved that the equilibrium is asymptotically stable, but it is not uniformly asymptotically stable. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1266 / 1274

页数：9

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