Qualitative Behavior of Solutions of Tenth-Order Recursive Sequence Equation

E. M. Elsayed, B. S. Alofi, Abdul Qadeer Khan and Baogui Xin

Mathematical Problems in Engineering, 2022, vol. 2022, 1-10

Abstract: Most nonlinear difference equations have exact solutions that are not always possible to obtain theoretically. As a result, a large number of researchers investigate several qualitative aspects of difference equations in order to predict their lengthy behavior. The goal of our research is to obtain the solutions of a tenth-order difference equation Un+1=Un−9Un−5Un−1/Un−7Un−3±1±Un−9Un−5Un−1, n≥0, where the initial values are positive real numbers. Stability and periodicity are also investigated.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:5242325

DOI: 10.1155/2022/5242325

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