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Title: Dynamical behavior of one rational fifth-order difference equation
Authors: Oğul, B.
Simsek, D.
Keywords: difference equation
recursive sequence
periodic solution
Issue Date: 2023
Publisher: Vasyl Stefanyk Precarpathian Natl Univ
Abstract: In this paper, we study the qualitative behavior of the rational recursive equation xn+1 = +/- 1 +/- xnxn-1xn-2xn-3xn-4 xn-4 , n is an element of N0:= {0} ?N, where the initial conditions are arbitrary nonzero real numbers. The main goal of this paper, is to obtain the forms of the solutions of the nonlinear fifth-order difference equations, where the initial conditions are arbitrary positive real numbers. Moreover, we investigate stability, boundedness, oscillation and the periodic character of these solutions. The results presented in this paper improve and extend some corresponding results in the literature.
ISSN: 2075-9827
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections

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