کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5775835 | 1631752 | 2017 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation, II
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The present paper deals with nonoscillation problem for the second-order linear difference equation
cnxn+1+cnâ1xnâ1=bnxn,n=1,2,â¦,where {bn} and {cn} are positive sequences. All nontrivial solutions of this equation are nonoscillatory if and only if the Riccati-type difference equation
qnzn+1znâ1=1has an eventually positive solution, where qn=cn2/(bnbn+1). Our nonoscillation theorems are proved by using this equivalence relation. In particular, it is focusing on the relation of the triple (q3kâ2,q3kâ1,q3k) for each kâN. Our results can also be applied to not only the case that {bn} and {cn} are periodic but also the case that {bn} or {cn} is non-periodic. To compare the obtained results with previous works, we give some concrete examples and those simulations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 304, 1 July 2017, Pages 142-152
Journal: Applied Mathematics and Computation - Volume 304, 1 July 2017, Pages 142-152
نویسندگان
Jitsuro Sugie,