On the trichotomy character of xn+1 = α+γxn-1/A+Bxn+xn-2

被引：21

作者：

Chatterjee, E ^{[1
]}

Grove, EA ^{[1
]}

Kostrov, Y ^{[1
]}

Ladas, G ^{[1
]}

机构：

[1] Univ Rhode Isl, Dept Math, Kingston, RI 02881 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2003年 / 9卷 / 12期

关键词：

boundedness; difference equation; global attractor; periodic solution; period-two trichotomy; trichotomy character;

D O I：

10.1080/1023619031000146850

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the global stability, the periodic character, and the boundedness nature of the solutions of the difference equation x(n+1) alpha+gammax(n-1)/A+Bx(n)+x(n-2) n = 0,1,... where the parameters alpha, gamma, A, B and the initial conditions x(-2), x(-1), x(0) are non-negative real numbers. We show that the solutions of the equation exhibit a trichotomy character which depends upon whether gamma is less than A, equal to A, or greater than A.

引用

页码：1113 / 1128

页数：16

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