International journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN:2313-626X

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 Volume 5, Issue 2 (February 2018), Pages: 1-7

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 Original Research Paper

 Title: Global attractivity of a rational difference equation of order twenty

 Author(s): Stephen Sadiq 1, *, Muhammad Kalim 2

 Affiliation(s):

 1National College of Business Administration and Economics, Lahore Campus, Pakistan
 2Department of Mathematics, National College of Business Administration and Economics, 40-E/1, Gulbeg-III, Lahore-54660, Pakistan

 https://doi.org/10.21833/ijaas.2018.02.001

 Full Text - PDF          XML

 Abstract:

In this research, qualitative behavior and periodic nature of the solutions of the difference equation zn+1=  αzn-9+βz2n-9/γzn-9+δzn-19 has been studied where the initial conditions z-19,..., z0 are arbitrary positive real numbers and α, β, γ, δ  are constants. Solutions of some special cases of considered equation have been obtained. 

 © 2017 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Difference equation, Global stability, Periodicity, Fibonacci sequence

 Article History: Received 17 August 2017, Received in revised form 21 November 2017, Accepted 10 December 2017

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2018.02.001

 Citation:

 Sadiq Sand  Kalim M (2018). Global attractivity of a rational difference equation of order twenty. International Journal of Advanced and Applied Sciences, 5(2): 1-7

 Permanent Link:

 http://www.science-gate.com/IJAAS/2018/V5I2/Sadiq.html

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