Abstract
This paper aims to develop a new method to obtain periodic solutions with period two and three of the following recursive sequence
where the parameters \(\alpha ,\beta \) and \(\gamma \) are positive real numbers and the initial conditions \(x_{-1} ,\,x_{0}\) are positive real numbers. Also, it investigates the global convergence and boundedness of the aforementioned equation.
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Acknowledgments
This work was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah, under Grant No. (130-033-D1434). The authors, therefore, acknowledge with thanks DSR technical and financial support.
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Elsayed, E.M. New method to obtain periodic solutions of period two and three of a rational difference equation. Nonlinear Dyn 79, 241–250 (2015). https://doi.org/10.1007/s11071-014-1660-2
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DOI: https://doi.org/10.1007/s11071-014-1660-2