Behaviors of the Solutions via Their Closed-Form Formulas for Two Rational Third-Order Difference Equations

In this work, we derive the solution formulas and study their behaviors for the difference equations xn+1=αxnxn−3/−βxn−3+γxn−2,n∈ℕ0 and xn+1=αxnxn−3/βxn−3−γxn−2,n∈ℕ0 with real initials and positive parameters. We show that there exist periodic solutions for the second equation under certain conditio...

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Bibliographic Details
Main Authors: Raafat Abo-Zeid, Abdul Qadeer Khan
Format: Article
Language:English
Published: Wiley 2021-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2021/6622538
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