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Global behavior of two third order rational difference equations with quadratic terms

  • R. Abo-Zeid EMAIL logo
Published/Copyright: January 22, 2019
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Abstract

In this paper, we determine the forbidden sets, introduce an explicit formula for the solutions and discuss the global behaviors of solutions of the difference equations

xn+1=axnxn1bxn1+cxn2,n=0,1,

where a,b,c are positive real numbers and the initial conditions x−2,x−1,x0 are real numbers.

MSC 2010: 39A10
  1. (Communicated by Michal Fečkan)

Acknowledgement

The author is grateful to the anonymous referee for his constructive suggestions.

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Received: 2017-01-27
Accepted: 2018-01-12
Published Online: 2019-01-22
Published in Print: 2019-02-25

© 2019 Mathematical Institute Slovak Academy of Sciences

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