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

Authors : Elsayed ELSAYED, Badriah ALOUFİ

Pages : 203-210

Doi:10.51354/mjen.1027797

View : 14 | Download : 12

Publication Date : 2022-12-31

Article Type : Research Paper

Abstract :The goal of this study is to investigate the global, local, and boundedness of the recursive sequence T_{η+1}=r+insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(p₁T_{η-l₁});/insert ignore into journalissuearticles values(T_{η-m₁}););+insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(q₁T_{η-m₁});/insert ignore into journalissuearticles values(T_{η-l₁}););+insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(p₂T_{η-l₂});/insert ignore into journalissuearticles values(T_{η-m2}););+insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(q₂T_{η-m₂});/insert ignore into journalissuearticles values(T_{η-l₂}););+...+insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(p_{s}T_{η-l_{s}});/insert ignore into journalissuearticles values(T_{η-m_{s}}););+insert ignore into journalissuearticles values(insert ignore into journalissuearticles values(q_{s}T_{η-m_{s}});/insert ignore into journalissuearticles values(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