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Method of Lyapunov functions for differential equations with piecewise constant delay

✍ Scribed by M.U. Akhmet; D. Aruğaslan; E. Yılmaz

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 231 KB
Volume: 235
Category: Article
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.02.043

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✦ Synopsis

equation a b s t r a c t

We address differential equations with piecewise constant argument of generalized type and investigate their stability with the second Lyapunov method. Despite the fact that these equations include delay, stability conditions are merely given in terms of Lyapunov functions; that is, no functionals are used. Several examples, one of which considers the logistic equation, are discussed to illustrate the development of the theory. Some of the results were announced at the

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