On the solutions of a higher-order difference equation in terms of generalized Fibonacci sequences

被引：34

作者：

Halim, Yacine ^{[1
,2
]}

Bayram, Mustafa ^{[3
]}

机构：

[1] Mila Univ Ctr, Dept Math & Comp Sci, Mila, Algeria

[2] Mohammed Seddik Benyahia Univ, LMAM Lab, Jijel, Algeria

[3] Uskudar Univ, Fac Hlth Sci, TR-34664 Istanbul, Turkey

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 11期

关键词：

difference equations; general solution; stability; Horadam numbers; DYNAMICS; SYSTEMS;

D O I：

10.1002/mma.3745

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation x(n+1) = alpha/beta + gamma Xn-k ; n is an element of N-0, where N-0 = N U {0}, alpha, beta, gamma, is an element of R-*(+) and the initial values x(-k), x(-k+1), . . . , x(0) are nonzero real numbers, such that their solutions are associated to Horadam numbers. Copyright (C) 2015 JohnWiley & Sons, Ltd.

引用

页码：2974 / 2982

页数：9

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