On the exponential dichotomy of solutions of the Cauchy problem for a hyperbolic system on a plane

被引：3

作者：

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

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

机构：

[1] Omsk State Tech Univ, Omsk, Russia

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 08期

关键词：

Cauchy Problem; Exponential Stability; Hyperbolic System; Hermitian Form; Exponential Dichotomy;

D O I：

10.1134/S0012266110080070

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For the class of dynamical systems considered in the paper, we use the Lyapunov direct method to prove a sufficient criterion for the exponential dichotomy in the L (2)-norm. We derive equations of the subspaces realizing the dichotomy in the phase space coordinate system associated with the indefinite Hermitian form used to state the dichotomy criterion.

引用

页码：1135 / 1144

页数：10

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