Stability Analysis and Periodictly Properties of a Class of Rational Difference Equations

Year 2022, Volume: 10 Issue: 2, 209 - 216, 31.12.2022

Elsayed Elsayed , Badriah Aloufi

https://doi.org/10.51354/mjen.1027797

Abstract

The goal of this study is to investigate the global, local, and boundedness of the recursive sequence

T_{η+1}=r+((p₁T_{η-l₁})/(T_{η-m₁}))+((q₁T_{η-m₁})/(T_{η-l₁}))+((p₂T_{η-l₂})/(T_{η-m2}))+((q₂T_{η-m₂})/(T_{η-l₂}))+...+((p_{s}T_{η-l_{s}})/(T_{η-m_{s}}))+((q_{s}T_{η-m_{s}})/(T_{η-l_{s}})),

where the initial values T_{-l_{1,}},T_{-l₁₂},...T_{-l_{s,}}, T_{-m₁}, T_{-m₂}and T_{-m_{s}} are arbitrary positive real numbers. It also investigates periodic solutions for special case of above equations.

Keywords

difference equations, stability, boundedness, solution of difference equation.

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