| 二阶非线性差分方程的全局吸引性 |
| |
| 引用本文： | 何万生,李万同. 二阶非线性差分方程的全局吸引性[J]. 大学数学, 2005, 21(2): 47-51 |
| |
| 作者姓名： | 何万生 李万同 |
| |
| 作者单位： | 天水师范学院,数学系,甘肃,天水,741001;兰州大学,数学系,甘肃,兰州,730000 |
| |
| 基金项目： | 国家自然科学基金;甘肃省自然科学基金 |
| |
| 摘 要： | [摘 要] 研究了差分方程xn+1=a-bxn-1A-xn(a≥0,A≥b≥0)的全局稳定性和正解的周期性.证明了方程的一个正平衡点是一个全局吸引子,并给出了相应的吸引域.
|
| 关 键 词： | 差分方程 全局稳定性 吸引性 正解 |
Global Attractivity of a Second Order Nonlinear Difference Equation |
| |
| HE Wan-sheng,Li Wan-tong. Global Attractivity of a Second Order Nonlinear Difference Equation[J]. College Mathematics, 2005, 21(2): 47-51 |
| |
| Authors: | HE Wan-sheng Li Wan-tong |
| |
| Abstract: | We study the global stability, and the periodic character of the positive solution of the difference equation xn+1=(a-bxn-1)/(A-xn), 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. |
| |
| Keywords: | difference euqation global stability,attractivity positive solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
