Open AccessDynamics and behavior of a higher order rational difference equation
Author(s) -
E. M. Elsayed
Publication year - 2016
Publication title -
the journal of nonlinear sciences and applications
Language(s) - English
Resource type - Journals
eISSN - 2008-1901
pISSN - 2008-1898
DOI - 10.22436/jnsa.009.04.06
Subject(s) - mathematics , dynamics (music) , order (exchange) , mathematical economics , sociology , economics , finance , pedagogy
We study the global result, boundedness, and periodicity of solutions of the difference equation xn+1 = a+ bxn−l + cxn−k dxn−l + exn−k , n = 0, 1, . . . , where the parameters a, b, c, d, and e are positive real numbers and the initial conditions x−t, x−t+1, . . . , x−1 and x0 are positive real numbers where t = max{l, k}, l 6= k. c ©2016 All rights reserved.
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