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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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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.