Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation
Joint Authors
Elabbasy, Elmetwally Mohammed
Asiri, Asim
El-Dessoky, M. M.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-07-19
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
The main objective of this paper is to study the behavior of the rational difference equation of the fifth-order yn+1=αyn+βynyn-3/(Ayn-4+Byn-3), n=0,1,…, where α,β,A, and B are real numbers and the initial conditions y-4,y-3,y-2,y-1 and y0 are positive real numbers such that Ay-4+By-3≠0.
Also, we obtain the solution of some special cases of this equation.
American Psychological Association (APA)
El-Dessoky, M. M.& Elabbasy, Elmetwally Mohammed& Asiri, Asim. 2018. Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1152899
Modern Language Association (MLA)
El-Dessoky, M. M.…[et al.]. Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-21.
https://search.emarefa.net/detail/BIM-1152899
American Medical Association (AMA)
El-Dessoky, M. M.& Elabbasy, Elmetwally Mohammed& Asiri, Asim. Dynamics and Solutions of a Fifth-Order Nonlinear Difference Equation. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-21.
https://search.emarefa.net/detail/BIM-1152899
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152899
