Weakly Nonlinear Impulsive Problems for Degenerate Differential Systems


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Abstract

We study the structure of solutions of degenerate weakly nonlinear differential-algebraic systems with impulsive actions at fixed times. The necessary and sufficient conditions for the existence of solutions of these problems are established and the relationship between the indicated conditions is obtained. An iterative procedure is proposed for finding the solutions of the problem.

About the authors

E. S. Voitushenko

Shevchenko Kyiv National University

Author for correspondence.
Email: I_Voitushenko@ukr.net
Ukraine, Hlushkov Avenue, 4, Kyiv, 03680

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