Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations

Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations

Year:    2011

Author:    Leonid Berezansky, Michael Gil’, Liora Troib

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 562–571

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.09-m0992

Advances in Applied Mathematics and Mechanics, Vol. 3 (2011), Iss. 5 : pp. 562–571

Published online:    2011-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Periodic systems perturbations stability instability

Author Details

Leonid Berezansky

Michael Gil’

Liora Troib

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