Authors: Stević, Stevo 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Asymptotics of some classes of higher-order difference equations
Journal: Discrete Dynamics in Nature and Society
Issue Date: 7-Jun-2007
Rank: M22
ISSN: 1026-0226
DOI: 10.1155/2007/56813
Abstract: 
We present some methods for finding asymptotics of some classes of nonlinear higher-order difference equations. Among others, we confirm a conjecture posed by S. Stević (2005). Monotonous solutions of the equation yn=A+(yn−k/∑j=1mβjyn−qj)p, n∈ℕ0, where p,A∈(0,∞), k,m∈ℕ, qj,j∈{1,…,m}, are natural numbers such that q1
Description: 
Article no. 56813
Publisher: Hindawi

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