کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4634486 1340693 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic stability of linear non-autonomous difference equations with fixed delay
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Asymptotic stability of linear non-autonomous difference equations with fixed delay
چکیده انگلیسی

This paper studies the asymptotic stability of the linear non-autonomous difference equations with fixed delay. It is shown that the difference system is asymptotically stable if and only if the norm of the limit for the coefficient matrix is less than 1 under some conditions. Furthermore, the discretization of the pantograph equation by Runge–Kutta methods with variable stepsize is analyzed. Finally, some numerical experiments are made to demonstrate the main conclusions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 198, Issue 2, 1 May 2008, Pages 787–798
نویسندگان
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