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Stability of scalar delay differential equations with dominant delayed terms

Published online by Cambridge University Press:  12 July 2007

X. H. Tang  and
Xingfu Zou
X. H. Tang
Affiliation:
Department of Applied Mathematics, Central South University, Changsha, Hunan 410083, People's Republic of China (xhtang@public.cs.hn.cn)
Xingfu Zou
Affiliation:
Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John's, NF A1C5S7, Canada (xzou@math.mun.ca)
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Abstract

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This paper deals with scalar delay differential equations with dominant delayed terms. Sufficient conditions are obtained for uniform stability, uniformly asymptotic stability and globally asymptotic stability of the equations. The criteria extend and improve some existing ones. The main results are applied to two physiological models. Some counterexamples are also given to show the invalidity of some existing results.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 4 , August 2003 , pp. 951 - 968
Copyright
Copyright © Royal Society of Edinburgh 2003