STEADINESS OF SYSTEMS OF DIFFERENTIAL INCLUSIONS ON SLOW VARIABLES

In this research work the question about stability on slow nonnegative variables of system of differential inequalities and inclusions with fast and slow variables on asymptotically wide interval is considered. The theorem of connection of steadiness on phase variables of system of differential inequalities and system of differential inclusions on asymptotically wide interval is proved under the condition of weak connection between fast and slow variables.