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Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations

Published online by Cambridge University Press:  03 June 2015

Leonid Berezansky ,
Michael Gil’  and
Liora Troib
Leonid Berezansky*
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel
Michael Gil’*
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel
Liora Troib*
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel
*
Corresponding author. URL: http://www.math.bgu.ac.il/brznsky/index.html Email: [email protected]
Email: [email protected]
Email: [email protected]
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Abstract

The paper deals with periodic systems of ordinary differential equations (ODEs). A new approach to the investigation of variations of multipliers under perturbations is suggested. It enables us to establish explicit conditions for the stability and instability of perturbed systems.

Keywords

34D1034D20Periodic systemsperturbationsstabilityinstability
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 3 , Issue 5 , October 2011 , pp. 562 - 571
Copyright
Copyright © Global-Science Press 2011

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