Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations
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@Article{AAMM-3-562,
author = {Leonid and Berezansky and and 20337 and and Leonid Berezansky and Michael and Gil’ and and 20338 and and Michael Gil’ and Liora and Troib and and 20339 and and Liora Troib},
title = {Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2011},
volume = {3},
number = {5},
pages = {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.
}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.09-m0992}, url = {http://global-sci.org/intro/article_detail/aamm/182.html} }
TY - JOUR
T1 - Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations
AU - Berezansky , Leonid
AU - Gil’ , Michael
AU - Troib , Liora
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 562
EP - 571
PY - 2011
DA - 2011/03
SN - 3
DO - http://doi.org/10.4208/aamm.09-m0992
UR - https://global-sci.org/intro/article_detail/aamm/182.html
KW - Periodic systems, perturbations, stability, instability
AB -
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.
Leonid Berezansky, Michael Gil’ & Liora Troib. (1970). Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations.
Advances in Applied Mathematics and Mechanics. 3 (5).
562-571.
doi:10.4208/aamm.09-m0992
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