Method of Lyapunov functions for differential equations with piecewise constant delay

Date

2011-06-15

Author

Akhmet, Marat
ARUĞASLAN ÇİNÇİN, Duygu
Yılmaz, Elanur

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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.

Subject Keywords

Nonlinear differential equations, Piecewise constant argument of generalized type, Method of Lyapunov functions, Logistic equation

URI

https://hdl.handle.net/11511/30340

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

DOI

https://doi.org/10.1016/j.cam.2010.02.043

Collections

Graduate School of Social Sciences, Article

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Citation Formats

M. Akhmet, D. ARUĞASLAN ÇİNÇİN, and E. Yılmaz, “Method of Lyapunov functions for differential equations with piecewise constant delay,” JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, pp. 4554–4560, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/30340.