@Article{AAMM-3-5, author = {Leonid, Berezansky and Michael, Gil’ 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 = {https://global-sci.com/article/73607/perturbations-of-multipliers-of-systems-of-periodic-ordinary-differential-equations} }