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ON THE FUNDAMENTAL THEORY OF IMPULSIVE DIFFERENTIAL EQUATIONS WITH VARIABLE STRUCTURE

S.A. Petkova

Abstract


A special class of nonlinear non-autonomous systems ordinary differential equations with variable structure and impulses is studied in the paper.

The main research goal is to identify the reasons for which such impulsive systems have solutions which are not continuable up to infinity. The case of non continuability of the solutions (or as it is accepted to say “death” of the solutions) due to the impulsive effects is investigated in the paper.


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