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Volume 3, Issue 5
Perturbations of Multipliers of Systems of Periodic Ordinary Differential Equations

Leonid Berezansky, Michael Gil’ & Liora Troib

DOI: 10.4208/aamm.09-m0992

Adv. Appl. Math. Mech., 3 (2011), pp. 562-571.

Published online: 2011-03

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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

Periodic systems, perturbations, stability, instability

  • AMS Subject Headings

34D10, 34D20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-3-562, author = {Berezansky , LeonidGil’ , Michael and Troib , Liora}, 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.

Berezansky , LeonidGil’ , Michael and Troib , Liora. (2011). 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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