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.

引用

页码：117 / 127

页数：11

共 13 条

[1]

[Anonymous], 1993, GLOBAL ASYMPTOTIC BE

[2] When does periodicity destroy boundedness in rational equations? [J].

Camouzis, E. ;

Ladas, G. .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2006, 12 (09) :961-979

[3] PERIODIC-SOLUTIONS TO NONAUTONOMOUS DIFFERENCE-EQUATIONS [J].

CLARK, ME ;

GROSS, LJ .

MATHEMATICAL BIOSCIENCES, 1990, 102 (01) :105-119

[4] A periodically forced Beverton-Holt equation [J].

Cushing, JM ;

Henson, SM .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2002, 8 (12) :1119-1120

[5]

CUSHING JM, 1998, J DIFFER EQU APPL, V3, P547, DOI DOI 10.1080/10236199708808120

[6]

ELAYDI S, 2003, IN PRESS P 8 INT C D

[7]

ELAYDI SN, IN PRESS J DIFFERENC

[8]

KOCIC VL, IN PRESS J DIFFERENC

[9]

KULENOVIC M. R. S., 2001, Dynamics of Second Order Rational Difference Equations with Open Problems and Conjectures

[10]

KULENOVIC MRS, IN PRESS CONVERGENCE

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