Authors: | Elsayed, Elsayed Mohamed Iričanin, Bratislav Stević, Stevo |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On the max-type equation xn+1 = max {An/x n, xn-1} | Journal: | Ars Combinatoria | Volume: | 95 | First page: | 187 | Last page: | 192 | Issue Date: | 1-Apr-2010 | Rank: | M23 | ISSN: | 0381-7032 | Abstract: | It is shown that every well-defined solution to the second-order difference equation in the title, when (An)n∈ 0 is a two-periodic sequence such that max{A0, A1} ≥ 0, is eventually periodic with period two. In the case max{A0, A 1} < 0 it is shown the existence of unbounded solutions, by describing all solutions in terms of A0, A1,x-1 and x0. |
Publisher: | Charles Babbage Research Centre |
Show full item record
SCOPUSTM
Citations
36
checked on Nov 11, 2024
Page view(s)
19
checked on Nov 11, 2024
Google ScholarTM
Check
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.