EXPONENTIAL DICHOTOMY OF LINEAR SYSTEMS WITH ALMOST PERIODIC MATRICES

被引：2

作者：

Romanovskii, R. K. ^{[1
]}

Bel'gart, L. V. ^{[1
]}

机构：

[1] Omsk State Tech Univ, Omsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 01期

关键词：

dichotomy; Lyapunov function; hull of an almost periodic matrix; DIFFERENCE-DIFFERENTIAL SYSTEMS; LYAPUNOV FUNCTIONALS; COEFFICIENTS; EQUATIONS; STABILITY;

D O I：

10.1007/s11202-009-0017-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using the Lyapunov direct method, we establish a condition of exponential dichotomy for the class of dynamical systems under weaker assumptions as compared to the case of an arbitrary continuous matrix on the derivative of the Lyapunov function along the trajectories. By way of application, we obtain a sufficient condition for the dichotomy of a second order almost periodic vector equation in terms of coefficients.

引用

页码：154 / 161

页数：8

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