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差分方程xn+1=(α+βxn+γxn-1)/(A+Bxn+Cxn-1)两个猜想的证明(英文)
The Confirmation of Two Conjectures about the Difference Equation xn+1=(α+βxn+γxn-1)/(A+Bxn+Cxn-1)
【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.
【Abstract】 Every non-negative solution of the difference equation xn+1=α+βxn+γxn-1A+Bxn+Cxn-1,n=0,1,… where C∈(0,+∞),is bounded.
【关键词】 差分方程;
周期解;
正解;
界性;
【Key words】 difference equation; periodic solution; positive solution; boundedness.;
【Key words】 difference equation; periodic solution; positive solution; boundedness.;
【基金】 SupportedbyNSFC(10361001,10226014),GuangxiScienceFoundation(0249002,0007002)andScienceFoundationofGuangxiUniversity(X061022)
- 【文献出处】 广西科学 ,Guangxi Sciences , 编辑部邮箱 ,2006年02期
- 【分类号】O175.7
- 【下载频次】40