کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623529 1339517 2007 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The difference equation xn+1=α+xn−k∑i=0k−1cixn−i has solutions converging to zero
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The difference equation xn+1=α+xn−k∑i=0k−1cixn−i has solutions converging to zero
چکیده انگلیسی

The aim of this note is to show that the following difference equation:xn+1=α+xn−k∑i=0k−1cixn−i,n=0,1,…, where k∈Nk∈N, ci⩾0ci⩾0, i=0,…,k−1i=0,…,k−1, ∑i=0k−1ci=1, and α<−1α<−1, has solutions which monotonically converge to zero. This result shows the existence of such solutions which was not shown in the recently accepted paper: A.E. Hamza, On the recursive sequence xn+1=α+xn−1xn, J. Math. Anal. Appl., in press.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 326, Issue 2, 15 February 2007, Pages 1466–1471
نویسندگان
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