一个有理递归序列解的性质

Property of Solution for a Rational Recursive Sequence

摘要:

文中分析了方程(其中)的解的性质,并得出① 当时,方程的每一个解最终严格递减到0；② 当时,方程的每一个非平凡解关于方程的平衡解振动。特别,当、时,方程的每一个正解收敛到平衡解上。

Abstract:

Property of solution for equation ()was analyzed. If , then each nontrivial solution will be ultimately strictly digressive to zero; if , then each nontrivial solution will be oscillate respect to balance solution. Specially, if 、, each positive solution will be convergent to balanced solution .