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Stability for first order delay dynamic equations on time scales

✍ Scribed by Haihua Wu; Zhan Zhou

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
264 KB
Volume
53
Category
Article
ISSN
0898-1221

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✦ Synopsis

In this paper, we establish some sufficient conditions for the uniform stability and the uniformly asymptotical stability of the first order delay dynamic equation

where T is a time scale, p(.) is rd-continuous and positive, the delay function τ : T → (0, r ]. Our results unify the corresponding ones for differential and difference equations. To the best of our knowledge, this is the first time to discuss the asymptotical behavior of delay dynamic equations on time scales.

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