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Báo cáo hóa học: " On the behavior of solutions of the system of rational difference equations"

Tuyển tập các báo cáo nghiên cứu về hóa học được đăng trên tạp chí hóa hoc quốc tế đề tài : On the behavior of solutions of the system of rational difference equations | Kurbanli Advances in Difference Equations 2011 2011 40 http www.advancesindifferenceequations.eom content 2011 1 40 o Advances in Difference Equations a SpringerOpen Journal RESEARCH Open Access On the behavior of solutions of the system of rational difference equations _ Xn-1 _ yn- 1 _ 1 A 1 ynXn-1 - 1 yn 1 Xnyn-1 - 1 Zn 1 ynZn Abdullah Selguk Kurbanli Correspondence akurbanli@yahoo. com Department Of Mathematics Faculty Of Education Selcuk University Konya 42090 Turkey Springer Abstract In this article we investigate the solutions of the system of difference equations yn-1 yn-1 1 yn 1 x y - 1 yn 1 x y 1 - 1 Zn 1 where x0 X-1 yo y-1 Zo Z-1 real numbers such that y0x-1 1 x0y-1 1 and y0z0 0. 1. Introduction In 1 Kurbanli et al. studied the behavior of positive solutions of the system of rational difference equations Xn-1 yn-1 Xn 1 đ yn 1 đ ynXn-1 1 Xnyn-1 1 In 2 Cinar studied the solutions of the systems of difference equations Xn 1 1 yn 1 ------- yn Xn-1yn-1 In 3 Kurbanli studied the behavior of solutions of the system of rational difference equations . xn 1 . yn 1 _ zn 1 Xn 1 z yn 1 zn 1 - ynXn-1 - 1 Xnyn-1 - 1 ynZn-1 - 1 In 4 Papaschinnopoulos and Schinas proved the boundedness persistence the oscillatory behavior and the asymptotic behavior of the positive solutions of the system of difference equations k k Xn 1 Ai yn-i yn 1 s Bi xn-i i 0 i 0 In 5 Clark and Kulenovic investigate the global stability properties and asymptotic behavior of solutions of the system of difference equations Xn yn Xn 1 yn 1 J a cyn b dxn In 6 Camouzis and Papaschinnopoulos studied the global asymptotic behavior of positive solutions of the system of rational difference equations 2011 Kurbanli licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License http creativecommons.org licenses by 2.0 which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. Kurbanli .