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Title: Dynamical behavior of solution of fifteenth-order rational difference equation
Authors: Şimşek, Dağıstan
Oğul, Burak
Abdullayev, Fahreddin
Keywords: Recursive sequences
local stability
periodic solution
difference equation
Positive Solutions
Issue Date: 2024
Publisher: Univ Nis, Fac Sci Math
Abstract: Discrete-time systems are sometimes used to explain natural phenomena that happen in non-linear sciences. We study the periodicity, boundedness, oscillation, stability, and certain exact solutions of nonlinear difference equations of generalized order in this paper. Using the standard iteration method, exact solutions are obtained. Some well-known theorems are used to test the stability of the equilibrium points. Some numerical examples are also provided to confirm the theoretical work's validity. The numeri-cal component is implemented with Wolfram Mathematica. The method presented may be simply applied to other rational recursive issues. In this research, we examine the qualitative behavior of rational recursive sequences provided that the initial conditions are arbitrary real numbers. We examine the behavior of solutions on graphs according to the state of their initial value xn+1 = xn-2xn-8xn-14 . +/- xn-5xn-11 +/- xn-2xn-5xn-8xn-11xn-14
ISSN: 0354-5180
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collections
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collections

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