论文标题
具有周期性系数的非线性差异方程系统的定期解决方案
Periodic solutions of a system of nonlinear difference equations with periodic coefficients
论文作者
论文摘要
在本文中，它涉及以下差异方程系统 x_ {n+1} =（（a_ {n}）/（x_ {n}）））+（（b_ {n}）/（y__ {n}）），y_ {n+1} =（（c_ {n}） 其中初始值x_0，y_0是正实数，而系数（a_ {n}）_ {n> = 0}，（b_ {n}）_ {n> = 0}，（c_ {n}）_ {n> = 0}，（c_ {n}）_ {n> = 0}，（d_ {n}）该系统是一个系统的扩展，即每个阳性解决方案都是两期周期性或将其收敛到其两周期的解决方案。在这里，通过使用新方法来解决系统的效果解决方案的长期行为。
In this paper it is dealt with the following system of difference equations x_{n+1}=((a_{n})/(x_{n}))+((b_{n})/(y_{n})), y_{n+1}=((c_{n})/(x_{n}))+((d_{n})/(y_{n})), n in N_0, where the initial values x_0,y_0 are positive real numbers and the coefficients (a_{n})_{n>=0}, (b_{n})_{n>=0}, (c_{n})_{n>=0}, (d_{n})_{n>=0} are two-periodic sequences with positive terms. The system is an extention of a system that every positive solution is two-periodic or converges to its a two-periodic solution. Here, the long-term behavior of posistive solutions of the system is examined by using a new method to solve the system.
