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On the periodicity of solutions of max‐type difference equation
Author(s) -
ElDessoky M. M.
Publication year - 2015
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3296
Subject(s) - mathematics , type (biology) , sequence (biology) , mathematical analysis , period (music) , pure mathematics , chemistry , physics , ecology , acoustics , biology , biochemistry
This paper is devoted to study the periodic nature of the solution of the following max‐type difference equation:x n + 1 = maxA nx n − 1, x n − 2,n = 0 , 1 , … , where the initial conditions x −2 , x −1 , x 0 are arbitrary positive real numbers and{ A n } n = 0 ∞is a periodic sequence of period two. Copyright © 2014 John Wiley & Sons, Ltd.
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