Periodically forced Pielou's equation

被引：20
|
作者：
Camouzis, E.
Ladas, G. [1 ]
机构：
[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA
[2] Amer Coll Greece, Dept Math & Nat Sci, Athens 15342, Greece
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 333卷 / 01期
关键词：
boundedness; convergence to periodic solution; difference equation; periodically forced equation; Pielou's equation;
D O I：
10.1016/j.jmaa.2006.10.096
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the global character of solutions of the periodically forced Pielou's equation xn+1 = beta(n)x(n)/1+x(n-1), n = 0,1,..., and prove that when the sequence {beta(n)} is periodic with prime period k, with positive values, and Pi(k-1)(i=0)beta(i) > 1, every positive solution converges to a periodic solution with prime period k. (c) 2007 Published by Elsevier Inc.
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页码：117 / 127
页数：11
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