Linear impulsive dynamic systems on time scales
V. Lupulescu, Constantin Brancusi University, Targu-Jiu, Romania E. J. Qualitative Theory of Diff. Equ., No. 11. (2010), pp. 1-30.
A. Zada, Government College University, Abdus Salam School of Mathematical Sciences (ASSMS), Lahore, Pakistan
| Communicated by S. K. Ntouyas. | Received on 2009-08-30 Appeared on 2010-03-01 |
Abstract: The purpose of this paper is to present the fundamental concepts 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 dynamic systems on time scales.
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