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 ฯ : T โ (0, r ]. Our results unify the corresponding on
Exponential stability for set dynamic equations on time scales
โ Scribed by Lei Li; Shihuang Hong
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 236 KB
- Volume
- 235
- Category
- Article
- ISSN
- 0377-0427
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โฆ Synopsis
A new theory known as set dynamic equations on time scales has been built. The criteria for the equistability, equiasymptotic stability, uniform and uniformly asymptotic stability were developed in Hong ( 2010) [1]. In this paper, we consider the exponential stability, exponentially asymptotic stability, uniform and uniformly exponentially asymptotic stability for the trivial solution of set dynamic equations on time scales by using Lyapunovlike functions.
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