In this paper, we consider the solution of the following rational systems of difference equations：xn＋1=zn-1xn-2/xn-2±yn,yn＋1=xn-1yn-2/yn-2±zn,zn＋1=yn-1zn-2/zn-1±xn,where initial conditions are nonze...In this paper, we consider the solution of the following rational systems of difference equations：xn＋1=zn-1xn-2/xn-2±yn,yn＋1=xn-1yn-2/yn-2±zn,zn＋1=yn-1zn-2/zn-1±xn,where initial conditions are nonzero real numbers.展开更多
In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attr...In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attractive, also the attractive basin of the equilibrium is obtained.展开更多
In this paper we obtain sufficient conditions for the global asymptotic stabilityof the difference equationWe also apply our results to the rational recursive sequenceAMS No.: 39A12
In this paper, solutions of difference equation for are investigated, where , are both arbitrary nonzero real numbers. The results are applied to the following difference equation for n=0,1,... .
文摘In this paper, we consider the solution of the following rational systems of difference equations：xn＋1=zn-1xn-2/xn-2±yn,yn＋1=xn-1yn-2/yn-2±zn,zn＋1=yn-1zn-2/zn-1±xn,where initial conditions are nonzero real numbers.
基金Research supported by Distinguished Expert Science Foundation of Naval Aeronautical and Astronautical University
文摘In this paper, we investigate the global behavior of a recursive sequence. We get sufficient conditions for the existence of the unique equilibrium point, and the unique equilibrium point is proved to be globally attractive, also the attractive basin of the equilibrium is obtained.
文摘In this paper we obtain sufficient conditions for the global asymptotic stabilityof the difference equationWe also apply our results to the rational recursive sequenceAMS No.: 39A12
文摘In this paper, solutions of difference equation for are investigated, where , are both arbitrary nonzero real numbers. The results are applied to the following difference equation for n=0,1,... .
