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A new technique in stability of infinite delay differential equations

โœ Scribed by Shunian Zhang

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
699 KB
Volume
44
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

For infinite delay differential equations, a new technique is offered in this paper to establish the stability criteria. In using Razumikhin techniques, rather than putting all components of the state variable ~ in one Liapunov functional V(t,~(.)), we adopt several functionals ~(t, to(.)) (j = 1, 2 .... , m) so that not only can they be easier constructed, but also the conditions ensuring the required stability are less restrictive. Furthermore, the advantages of the obtained results are illustrated by an example. (~) 2002 Elsevier Science Ltd. All rights reserved.

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