On the periodic solutions for an nth-order difference equations

被引：2
|
作者：
El-Owaidy, H [1 ]
Mohamed, HY [1 ]
机构：
[1] Al Azhar Univ, Dept Math, Fac Sci, Cairo, Egypt
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2002年 / 131卷 / 2-3期
关键词：
periodic solutions; nth-order difference equations; Rational difference equation;
D O I：
10.1016/S0096-3003(01)00158-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We shall study the existence of periodic solutions for an nth-order difference equation x(n+1) = F(x(n), x(n-1),..., x(n-k)) and find the necessary and sufficient conditions which make all solutions of this equation periodic. We shall use a new technique to study the periodic solutions and apply it to the rational difference equation. (C) 2002 Published by Elsevier Science Inc.
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页码：461 / 467
页数：7
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