On the dichotomy of a system of linear differential equations with conditionally periodic coefficients

We show that a system of linear differential equations with conditionally periodic coefficients is exponentially dichotomous if and only if the spectrum of the monodromy operator does not meet the unit circle.

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Bibliographic Details
Published in:Differential equations 2013-03, Vol.49 (3), p.282-287
Main Author: Kozlov, Yu. D.
Format: Article
Language:English
Subjects:
Dichotomies
Difference and Functional Equations
Differential equations
Linear equations
Mathematical analysis
Mathematics
Mathematics and Statistics
Operators
Ordinary Differential Equations
Partial Differential Equations
Studies
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Description
Summary:We show that a system of linear differential equations with conditionally periodic coefficients is exponentially dichotomous if and only if the spectrum of the monodromy operator does not meet the unit circle.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266113030026