Behaviors of the Solutions via Their Closed-Form Formulas for Two Rational Third-Order Difference Equations
Raafat Abo-Zeid,
Abdul Qadeer Khan and
Seenith Sivasundaram
Discrete Dynamics in Nature and Society, 2021, vol. 2021, 1-10
Abstract:
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 conditions when β2
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6622538
DOI: 10.1155/2021/6622538
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