| 高阶非线性差分方程的全局吸引性 |
| |
| 引用本文： | 唐国梅.高阶非线性差分方程的全局吸引性[J].纯粹数学与应用数学,2010,26(5):816-821. |
| |
| 作者姓名： | 唐国梅 |
| |
| 作者单位： | 西北民族大学数学与计算机科学学院,甘肃,兰州,730030 |
| |
| 摘 要： | 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.
|
| 关 键 词： | 差分方程 不变区间 素二周期解 全局吸引子 |
Global attractivity of a higher order nonlinear difference equation |
| |
| TANG Guo-mei.Global attractivity of a higher order nonlinear difference equation[J].Pure and Applied Mathematics,2010,26(5):816-821. |
| |
| Authors: | TANG Guo-mei |
| |
| Institution: | TANG Guo-mei(School of Mathematics and Computer Science,Northwest University for Nationalities,Lanzhou 730030,China) |
| |
| Abstract: | 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. |
| |
| Keywords: | difference equation invariant intervals period-two solutions global attractor |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
