一类非线性高阶差分方程的全局吸引性

Global Attractivity For a Class of Nonlinear Higer Order Difference Equation

借助于极限理论、单调性分析方法考虑高阶差分方程.针对不变区间的不同的类形给出了全局吸引子的若干充分条件,并将这些结论应用于有理递归序列,对G.Ladas提出的公开问题进行了有益的探讨,给出了部分回答.

In this paper, by using the Limit Theory and Theory of monotonicity, the sufficient conditions are obtained for global attractor of positive solutions of the higher order nonlinear difference equation. Ap- pling the results obtained to the rational recursive sequence, the Ladas＇ open problem is partly answered.