SPECTRAL ANALYSIS FOR LINEAR DIFFERENTIAL-ALGEBRAIC EQUATIONS

被引：0

作者：

Vu Hoang Linh ^{[1
]}

Mehrmann, Volker ^{[2
]}

机构：

[1] Vietnam Natl Univ, Fac Math Mech & Informat, 334 Nguyen Trai Str, Hanoi, Vietnam

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷

关键词：

differential-algebraic equation; underlying ODE; Lyapunov exponent; Sacker-Sell spectrum; exponential dichotomy;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the spectral theory of linear differential-algebraic equations (DAEs) is discussed. Lyapunov and Sacker-Sell spectra, which are well known for ordinary differential equations (ODEs), are studied for linear DAEs and their adjoint equations. The spectral properties of the DAEs are investigated via the so-called essentially underlying ODEs.

引用

页码：991 / 1000

页数：10

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