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The periodic character in a higher order difference equation with delays
Author(s) -
Gümüş Mehmet
Publication year - 2020
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.5915
Subject(s) - mathematics , character (mathematics) , order (exchange) , nonlinear system , mathematical analysis , pure mathematics , geometry , physics , finance , quantum mechanics , economics
The aim of this paper is to investigate the global dynamics of the delay nonlinear difference equationy n + 1 = A y n − kB + C y n − l py n − m q, n = 0 , 1 , … , where k , l , and m are positive integers, the parameters A , B , C , p , and q are nonnegative real numbers, and the initial valuesy − max { k , l , m } , … , y − 1 , y 0are nonnegative real numbers such that the denominator is always positive. Several numerical simulations are provided to support obtained results. Also, our results extend and generalize the known ones.