Electron. J. Diff. Eqns., Vol. 2005(2005), No. 128, pp. 1-7.

On the $\phi_0$-stability of impulsive dynamic system on time scales

Peiguang Wang, Meng Wu

Abstract:
This paper concerns impulsive dynamic system on time scales. We obtain sufficient conditions of the $\phi_0$-stability for such systems by employing cone-valued Lyapunov functions.

Submitted June 20, 2005. Published November 23, 2005.
Math Subject Classifications: 34D20, 34A37.
Key Words: Time scales; Impulsive dynamic system; $\phi_0$-stability; cone-valued Lyapunov functions.

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Peiguang Wang
College of Electronic and Information Engineering
Hebei University, Baoding, 071002, China
email: pgwang@mail.hbu.edu.cn
Meng Wu
College of Mathematics and Computer Science
Hebei University, Baoding, 071002, China
email: wumeng919@126.com

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