کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418042 | 1339319 | 2015 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hyers-Ulam stability and discrete dichotomy
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let m be a given positive integer and let A be an mÃm complex matrix. We prove that the discrete systemXn+1=AXn,nâZ+ is Hyers-Ulam stable if and only if the matrix A possesses a discrete dichotomy. Also we prove that the scalar difference equation of order mxn+m=a1xn+mâ1+a2xn+mâ2+â¯+amxn,nâZ+, is Hyers-Ulam stable if and only if the algebraic equationzm=a1zmâ1+â¯+amâ1z+am,zâC has no roots on the unit circle. This latter result is essentially known, for further details see for example [24] and [2]. However, our proofs are completely different and moreover, it seems that our approach opens the way to obtain many other results in this topic.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1738-1752
Journal: Journal of Mathematical Analysis and Applications - Volume 423, Issue 2, 15 March 2015, Pages 1738-1752
نویسندگان
Dorel Barbu, Constantin BuÅe, Afshan Tabassum,