Abstract
The purpose of this paper is to present the fundamental con- cepts of the basic theory for linear impulsive systems on time scales. First, we introduce the transition matrix for linear impulsive dynamic systems on time scales and we establish some properties of them. Second, we prove the existence and uniqueness of solutions for linear impulsive dynamic systems on time scales. Also we give some sufficient conditions for the stability of linear impulsive dy- namic systems on time scales.
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More From: Electronic Journal of Qualitative Theory of Differential Equations
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