关于一类高阶递推关系：对称性、公式解、周期性和稳定性分析

IF 0.9 Q2 MATHEMATICS

Arabian Journal of Mathematics Pub Date : 2023-08-10 DOI:10.1007/s40065-023-00438-9

Mensah Folly-Gbetoula

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引用次数: 0

摘要

本文给出了一类高阶差分方程组的公式解。我们讨论了解的周期性，并研究了平衡点的稳定性。我们将李对称性分析与一些数论函数一起作为我们方法的一部分。我们的发现概括了文献中的某些结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis

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On a family of higher order recurrence relations: symmetries, formula solutions, periodicity and stability analysis

In this paper, we present formula solutions of a family of difference equations of higher order. We discuss the periodic nature of the solutions and we investigate the stability character of the equilibrium points. We utilize Lie symmetry analysis as part of our approach together with some number theoretic functions. Our findings generalize certain results in the literature.

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来源期刊

Arabian Journal of Mathematics MATHEMATICS-

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

13 weeks

期刊介绍： The Arabian Journal of Mathematics is a quarterly, peer-reviewed open access journal published under the SpringerOpen brand, covering all mainstream branches of pure and applied mathematics. Owned by King Fahd University of Petroleum and Minerals, AJM publishes carefully refereed research papers in all main-stream branches of pure and applied mathematics. Survey papers may be submitted for publication by invitation only.To be published in AJM, a paper should be a significant contribution to the mathematics literature, well-written, and of interest to a wide audience. All manuscripts will undergo a strict refereeing process; acceptance for publication is based on two positive reviews from experts in the field.Submission of a manuscript acknowledges that the manuscript is original and is not, in whole or in part, published or submitted for publication elsewhere. A copyright agreement is required before the publication of the paper.Manuscripts must be written in English. It is the author''s responsibility to make sure her/his manuscript is written in clear, unambiguous and grammatically correct language.