Existence results for impulsive dynamic inclusions on time scales

A. Belarbi, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algérie
M. Benchohra, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algérie
A. Ouahab, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algérie

E. J. Qualitative Theory of Diff. Equ., No. 12. (2005), pp. 1-22.

Communicated by P. Eloe. Received on 2005-04-08
Appeared on 2005-05-27

Abstract: In this paper, we investigate the existence of solutions and extremal solutions for a first order impulsive dynamic inclusion on time scales. By using suitable fixed point theorems, we study the case when the right hand side has convex as well as nonconvex values.


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