On the max-type equation x n + 1 = max { A x n , x n − 2 }

E.M. Elsayed; Stevo Stević

doi:10.1016/j.na.2008.11.016

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On the max-type equation x n + 1 = max { A x n , x n − 2 }

Journal article

Peer reviewed

On the max-type equation x n + 1 = max { A x n , x n − 2 }

E.M. Elsayed and Stevo Stević

Nonlinear analysis, Vol.71(3), pp.910-922

01/08/2009

DOI: https://doi.org/10.1016/j.na.2008.11.016

Abstract

Eventually periodic solution

Max-type difference equation

We show that every well-defined solution of the difference equation x n + 1 = max { A x n , x n − 2 } , n ∈ N 0 , where A ∈ R is eventually periodic with period three.

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Title: On the max-type equation x n + 1 = max { A x n , x n − 2 }
Creators - without role: E.M. Elsayed - Mansoura University
Stevo Stević - Serbian Academy of Sciences and Arts
Publication Details: Nonlinear analysis, Vol.71(3), pp.910-922
Publisher: Elsevier Ltd
Identifiers: 9937691108331
Academic Unit: King Abdulaziz University
Language: English
Resource Type: Journal article