کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4642220 | 1341336 | 2009 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Asymptotic and numerical stability of systems of neutral differential equations with many delays
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Asymptotic and numerical stability of systems of neutral differential equations with many delays Asymptotic and numerical stability of systems of neutral differential equations with many delays](/preview/png/4642220.png)
چکیده انگلیسی
We are concerned with the asymptotic stability of a system of linear neutral differential equations with many delays in the form y′(t)=Ly(t)+∑i=1dMiy(t−τi)+∑i=1dNiy′(t−τi), where L,Mi,Ni∈CN×N(i=1,2,…,d) are constant complex matrices, τi>0(i=1,2,…,d) are constant delays and y(t)=(y1(t),y2(t)…yN(t))T is an unknown vector-valued function for t>0t>0. We first establish a new result for the distribution of the roots of its characteristic function, next we obtain a sufficient condition for its asymptotic stability and then we investigate the corresponding numerical stability of linear multistep methods applied to such systems. One numerical example is given to testify our numerical analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 223, Issue 2, 15 January 2009, Pages 614–625
Journal: Journal of Computational and Applied Mathematics - Volume 223, Issue 2, 15 January 2009, Pages 614–625
نویسندگان
Jiaoxun Kuang, Hongjiong Tian, Taketomo Mitsui,