Abstract

In the present chapter we extend the method of the asymptotic equivalence to hybrid equations. In Sect. 14.1 impulsive linear homogeneous differential equations are under discussion. A partial result is also proved when one of the equations is of delay type. Next, in Sect. 14.2 we obtain new sufficient conditions for the asymptotic equivalence of the quasilinear impulsive system of differential equations and the linear system of ordinary differential equations. It is easy to see that the results are generalizations of Chap. 12 such that if one removes the impulsive parts in equations of this chapter then the results of the last chapter will be obtained.

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