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

Leonid Berezansky, Michael Gil & Liora Troib

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

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COPYRIGHT: © Global Science Press

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@Article{AAMM-3-562, author = {Leonid Berezansky, Michael Gil 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 - Leonid Berezansky, Michael Gil & Liora Troib JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 562 EP - 571 PY - 2011 DA - 2011/03 SN - 3 DO - http://dor.org/10.4208/aamm.09-m0992 UR - https://global-sci.org/intro/aamm/182.html KW - Periodic systems KW - perturbations KW - stability KW - 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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