Qualitative Behavior of Solutions of Tenth-Order Recursive Sequence Equation. (14th February 2022)

• Record Type: Journal Article
• Authors: Elsayed, E. M.; Alofi, B. S.; Khan, Abdul Qadeer
• Other Names: Xin Baogui Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2022(2022)
• Publication Date: 2022-02-14
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2022/5242325
• Languages: English
• ISSNs: 1024-123X

Abstract

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 U n + 1 = U n − 9 U n − 5 U n − 1 / U n − 7 U n − 3 ± 1 ± U n − 9 U n − 5 U n − 1, n ≥ 0, where the initial values are positive real numbers. Stability and periodicity are also investigated.