@article{article_1027797, title={Stability Analysis and Periodictly Properties of a Class of Rational Difference Equations}, journal={MANAS Journal of Engineering}, volume={10}, pages={209–216}, year={2022}, DOI={10.51354/mjen.1027797}, author={Elsayed, Elsayed and Aloufi, Badriah}, keywords={difference equations, stability, boundedness, solution of difference equation.}, 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.}, number={2}, publisher={Kyrgyz-Turkish Manas University}