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2011, 2011(Special): 991-1000. doi: 10.3934/proc.2011.2011.991

Spectral analysis for linear differential-algebraic equations

Vu Hoang Linh 1, and  Volker Mehrmann 2,

1. 

Faculty of Mathematics, Mechanics and Informatics, Vietnam National University, 334, Nguyen Trai Str., Thanh Xuan, Hanoi, Vietnam
2. 

Institut für Mathematik, MA 4-5, Technische Universität Berlin, D-10623 Berlin, Fed. Rep., Germany

Received  June 2010 Revised  February 2011 Published  October 2011

In this paper, the spectral theory of linear di fferential-algebraic equations (DAEs) is discussed. Lyapunov and Sacker-Sell spectra, which are well known for ordinary diff erential 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.
Keywords: di fferential-algebraic equation, Sacker-Sell spectrum, Lyapunov exponent, underlying ODE, exponential dichotomy..
Mathematics Subject Classification: Primary: 34D08, 34A09; Secondary: 34D09, 65L80.
Citation: Vu Hoang Linh, Volker Mehrmann. Spectral analysis for linear differential-algebraic equations. Conference Publications, 2011, 2011 (Special) : 991-1000. doi: 10.3934/proc.2011.2011.991
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