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Details for article 39 of 68 found articles
| Title: |
On solutions of a system of rational difference equations |
| Author: |
Yu Yang Li Chen Yong-Guo Shi |
| Appeared in: |
Acta mathematica Universitatis Comenianae |
| Paging: | Volume LXXX (2011) nr. 1 pages 63-70 |
| Year: |
2011 |
| Contents: |
In this paper we investigate the system of rational differenceequations $$ x_n=frac{a}{y_{n-p}},qquad y_n=frac{by_{n-p}}{x_{n-q}y_{n-q}},qquad n=1,2,ldots,$$where q is a positive integer with p < q, p ot | q, p is an odd number and p <FONT SIZE='3' FACE='Symbol'>³</FONT> 3, both a and b are nonzero real constants and the initial values x-q+1, x-q+2, . . .x0, y-q+1, y-q+2, . . ., y0 are nonzero real numbers. We show all real solutions of the system are eventually periodic with period 2pq (resp. 4pq) when (a/b) q = 1 (resp. (a/b)q = -1), characterize the asymptotic behavior of the solutions when a <FONT SIZE='3' FACE='Symbol'>³</FONT> b, which generalizes Őzban's results of in [Appl. Math. Comput. <b>188</b> (2007), 833-837]. |
| Publisher: |
Acta Mathematica Universitatis Comenianae (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 39 of 68 found articles
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