A note on the difference equation

被引：13

作者：

Berenhaut, KS

Stevic, S ^{[1
]}

机构：

[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA

[2] Serbian Acad Sci, Math Inst, Belgrade 11000, Serbia Monteneg

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2005年 / 11卷 / 14期

关键词：

difference equation; positive solutions; three-periodic solution; stability;

D O I：

10.1080/10236190500331370

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we show that every positive solution of the equation x(n+1) = 1/x(n)x(n-1) + 1/x(n-3)x(n-4) , n is an element of N-0,N- converges to a period-three solution. This result confirms Conjecture 5.4.5 in M.R.S. Kulenovic and G. Ladas, 2002, Dynamics of Second Order Rational Difference Equations (Chapman & Hall/CRC).

引用

页码：1225 / 1228

页数：4