@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} }