Unbounded Solutions of the Difference Equation xn=xn−lxn−k−1

Unbounded Solutions of the Difference Equation xn=xn−lxn−k−1

The following difference equation xn=xn−lxn−k−1, n∈ℕ0, where k,l∈ℕ, k<l, gcd(k,l)=1, and the initial values x-l,…,x-2,x-1 are real numbers, has been investigated so far only for some particular values of k and l. To get any general result on the equation is turned out as a not so easy problem. In...

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Bibliographic Details
Main Authors:	Stevo Stević, Bratislav Iričanin
Format:	Article
Language:	English
Published:	Hindawi Limited 2011-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2011/561682

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