| 一类差分方程的奇点集和解的全局性 |
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| 引用本文： | 全卫贞.一类差分方程的奇点集和解的全局性[J].温州大学学报(自然科学版),2013(3):11-16. |
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| 作者姓名： | 全卫贞 |
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| 作者单位： | 湛江师范学院基础教育学院,广东湛江524037 |
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| 基金项目： | 湛江师范学院青年项目（QL1021） |
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| 摘 要： | 主要研究四阶差分方程xn＋1=xnxn-1/axn-1=bxn-3,n=0,1,2…的奇点集和解{xn}∞n=-3的全局性,其中a,b∈R,初始值x-3,x-2,x-1,x0∈R,并根据不同情形,得到了解的不同渐近性.
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| 关 键 词： | 差分方程 奇点集 平衡解 二周期解 全局性 |
The Forbidden Set and the Global Behavior of Solutions of a Difference Equation |
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| QUAN Weizhen.The Forbidden Set and the Global Behavior of Solutions of a Difference Equation[J].Journal of Wenzhou University Natural Science,2013(3):11-16. |
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| Authors: | QUAN Weizhen |
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| Institution: | QUAN Weizhen (College of Basic Education, Zhanjiang Norman University, Zhanjiang, China 524037) |
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| Abstract: | We study the forbidden set and the global behavior of solutions to the fourth-order difference equation xn＋1=xnxn-1/axn-1=bxn-3,n=0,1,2… With a,b∈R and initial values of x-3,x-2,x-1,x0∈R. By changingthe condition of the equations, we could draw the difference conclusions of the global behavior. |
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| Keywords: | Difference Equation Forbidden Set Equilibrium Solution Period-two Solution Global Behavior |
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