کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640439 | 1341275 | 2011 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Method of Lyapunov functions for differential equations with piecewise constant delay
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Method of Lyapunov functions for differential equations with piecewise constant delay Method of Lyapunov functions for differential equations with piecewise constant delay](/preview/png/4640439.png)
چکیده انگلیسی
We address differential equations with piecewise constant argument of generalized type [5], [6], [7] and [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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 16, 15 June 2011, Pages 4554–4560
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 16, 15 June 2011, Pages 4554–4560
نویسندگان
M.U. Akhmet, D. Aruğaslan, E. Yılmaz,