Method of Lyapunov functions for differential equations with piecewise constant delay

AKHMET, MARAT; Arugaslan, Duygu; YILMAZ, EROL

doi:10.1016/j.cam.2010.02.043

Method of Lyapunov functions for differential equations with piecewise constant delay

AKHMET M., Arugaslan D., YILMAZ E. O.

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, cilt.235, sa.16, ss.4554-4560, 2011 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 235 Sayı: 16
Basım Tarihi: 2011
Doi Numarası: 10.1016/j.cam.2010.02.043
Dergi Adı: JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.4554-4560
Süleyman Demirel Üniversitesi Adresli: Evet

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.