Method of Lyapunov functions for differential equations with piecewise constant delay


AKHMET M. , ARUĞASLAN ÇİNÇİN D., YILMAZ E.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.235, ss.4554-4560, 2011 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 235 Konu: 16
  • Basım Tarihi: 2011
  • Doi Numarası: 10.1016/j.cam.2010.02.043
  • Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
  • Sayfa Sayıları: ss.4554-4560

Özet

We address differential equations with piecewise constant argument of generalized type [5-8] 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 14th International Congress on Computational and Applied Mathematics (ICCAM2009), Antalya, Turkey, in 2009. (C) 2010 Elsevier B.V. All rights reserved.