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 cond...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.展开更多
文摘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.