| 差分方程xn+1=(α+βxn+γxn-1)/(A+Bxn+Cxn-1)两个猜想的证明 |
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| 引用本文： | 王琦,曾凡平,张更容. 差分方程xn+1=(α+βxn+γxn-1)/(A+Bxn+Cxn-1)两个猜想的证明[J]. 广西科学, 2006, 13(2): 90-92 |
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| 作者姓名： | 王琦 曾凡平 张更容 |
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| 作者单位： | 1. 广西大学数学与信息科学学院,广西南宁,530004;广西工学院信息与计算机科学系,广西柳州,545006
2. 广西大学数学与信息科学学院,广西南宁,530004 |
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| 基金项目： | 国家自然科学基金 , Guangxi Science Foundation , 广西大学校科研和教改项目 |
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| 摘 要： | 证明差分方程xn 1=α βxn γxn-1A B xn Cxn-1,n=0,1,…当C∈(0, ∞)时每个非负解是有界的.
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| 关 键 词： | 差分方程 周期解 正解 界性 |
| 文章编号： | 1005-9164（2006）02-0090-03 |
| 收稿时间： | 2005-08-02 |
| 修稿时间： | 2005-10-11 |
The Confirmation of Two Conjectures about the Difference Equation xn+1=α+βxn+γxn-1/A+Bxn+Cxn-1 |
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| WANG Qi,ZENG Fan-ping and ZHANG Geng-rong. The Confirmation of Two Conjectures about the Difference Equation xn+1=α+βxn+γxn-1/A+Bxn+Cxn-1[J]. Guangxi Sciences, 2006, 13(2): 90-92 |
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| Authors: | WANG Qi ZENG Fan-ping ZHANG Geng-rong |
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| Affiliation: | College of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China;Department of Information and Computer Science, Guangxi University of Technology, Liuzhou, Guangxi, 545006, China,College of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China and College of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China |
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| Abstract: | Every non-negative solution of the difference equation xn+1=α+βxn+γxn-1/A+Bxn+Cxn-1,n=0,1,... where C∈(0,+∞),is bounded. |
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| Keywords: | difference equation periodic solution positive solution boundedness. |
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