Global Asymptotic Stability of a Nonautonomous Difference Equation

被引：6

作者：

Gumus, Mehmet ^{[1
]}

Ocalan, Ozkan ^{[2
]}

机构：

[1] Bulent Ecevit Univ, Fac Sci & Arts, Dept Math, TR-67100 Zonguldak, Turkey

[2] Afyon Kocatepe Univ, Fac Sci & Arts, Dept Math, TR-03200 Afyon, Turkey

来源：

JOURNAL OF APPLIED MATHEMATICS | 2014年

关键词：

DYNAMICS; BEHAVIOR; X(N+1);

D O I：

10.1155/2014/395954

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the following nonautonomous difference equation: x(n+1) = (x(n)x(n-1) + p(n))/(x(n) + x(n-1)), n = 0, 1, ..., where p(n) > 0 is a period-2 sequence and the initial values x(-1), x(0) is an element of (0, infinity). We show that the unique prime period-2 solution of the equation above is globally asymptotically stable.

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页数：5

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