高阶非线性差分方程的全局吸引性

Global attractivity of a higher order nonlinear difference equation

研究了一类高阶非线性差分方程所有正解的周期性,不变区间及全局吸引性.证明了方程的正平衡点是在一个依赖于参数的盆里的全局吸引子.

In this paper, we investigate the periodic character, invariant intervals and the global attractivity of all positive solutions of a higher order nonlinear difference equation. 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.