Abstract
Effective sufficient conditions for stability under persistent disturbances of the zero solution of impulsive systems of differential-difference equations of neutral type are found. The main results are stated in a theorem. In its proof an analogue of Gronwall-Bellman′s inequality for piecewise continuous functions is used. As a corollary the existence of a global solution of a system with quadratic nonlinearities is proved for sufficiently small initial data.
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