高阶非线性差分方程的全局吸引性(英文)

Global attractivity in a higher order nonlineardifference equaiton

研究了差分方程 xn+1 =a - bxn- k A - xn( a≥ 0 ,A≥ b≥ 0 )的全局稳定性和正解的周期性质 .证明了方程的一个正平衡点是一个全局吸引子 。

In this paper,we study the global stability, and the periodic character of the positive solution of the difference equation x__(n+1)=a-bx__(n-k)A-x_n,where a≥0,A≥b≥0.We show that the positive equilibrium of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.