Tikhonov Theorem for Differential Equations with Singular Impulses

2017/01/15 by Marat Akhmet, Akhmet, Marat, Sabahattin Çağ +1
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1701.04017

16 pages, 3 figures

arxiv created 2017/01/15 · arxiv updated 2017/01/17

Abstract

The paper considers impulsive systems with singularities. The main novelty of the present research is that impulses (impulsive functions) are singular. This is beside singularity of differential equations. The Lyapunov second method is applied to proof the main theorems. Illustrative examples with simulations are given to support the theoretical results.

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