Criteria for the Trivial Solution of Differential Algebraic Equations with Small Nonlinearities to be Asymptotically Stable

Differential algebraic equations consisting of a constant coefficient linear part and a small nonlinearity are considered. Conditions that enable linearizations to work well are discussed. In particular, for index-2 differential algebraic equations, there results a kind of Perron Theorem that sounds...

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 1998-09, Vol.225 (2), p.587-607
Main Author: März, Roswitha
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical analysis
Mathematics
Ordinary differential equations
Sciences and techniques of general use
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Summary:Differential algebraic equations consisting of a constant coefficient linear part and a small nonlinearity are considered. Conditions that enable linearizations to work well are discussed. In particular, for index-2 differential algebraic equations, there results a kind of Perron Theorem that sounds as clear as its classical model.
ISSN:0022-247X
1096-0813
DOI:10.1006/jmaa.1998.6055