YAKUBOVICH'S THEOREM FOR IMPULSIVE DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT OF GENERALIZED TYPE

摘要

The main goal of our paper is to obtain sufficient conditions for the asymptotic equi-valence of a linear differential system and a quasilinear system of impulsive differential equations with piecewise constant argument of generalized type, in short IDEPCAG. A deviating argument is of the advanced and delayed type. As an auxiliary result, the structure of the set of solutions of the quasilinear system is spe-cified. Several examples are also given to show the feasibility of results.