On the dynamics of the nonlinear rational difference equation xn+1 = Axn + Bxn−k + Cxn−l + bxn−k/dxn−k − exn−l

On the dynamics of the nonlinear rational difference equation xn+1 = Axn + Bxn−k + Cxn−l + bxn−k/dxn−k − exn−l

In this article, we study the periodicity, the boundedness and the global stability of the positive solutions of the following nonlinear difference equation xn+1=Axn+Bxn-k+Cxn-l+bxn-kdxn-k-exn-l,n=0,1,2,… where the coefficients A,B,C,b,d,e∈(0,∞), while k and l are positive integers. The initial cond...

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Bibliographic Details
Main Authors: M.A. El-Moneam, E.M.E. Zayed
Format: Article
Language:English
Published: SpringerOpen 2015-10-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Difference equations
Prime period two solution
Boundedness character
Locally asymptotically stable
Global attractor
Global stability
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X1400131X

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http://www.sciencedirect.com/science/article/pii/S1110256X1400131X

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