On a solvable difference equations system of second order its solutions are related to a generalized Mersenne sequence

IF 0.9 3区数学 Q2 MATHEMATICS

Mathematica Slovaca Pub Date : 2024-07-01 DOI:10.1515/ms-2024-0053

Murad Khan Hassani, Nouressadat Touafek, Yasin Yazlik

引用次数: 0

Abstract

In this paper, we consider a class of two-dimensional nonlinear difference equations system of second order, which is a considerably extension of some recent results in the literature. Our main results show that class of system of difference equations is solvable in closed form theoretically. It is noteworthy that the solutions of aforementioned system are associated with generalized Mersenne numbers. The asymptotic behavior of solution to aforementioned system of difference equations when a = b and p = 0 are also given. Finally, numerical examples are given to support the theoretical results presented in this paper.

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关于可解二阶差分方程系统，其解与广义梅森序列有关

在本文中，我们考虑了一类二阶非线性差分方程系统，这是对近期文献中一些结果的极大扩展。我们的主要结果表明，该类差分方程系统在理论上是可以闭式求解的。值得注意的是，上述系统的解与广义梅森数有关。此外，还给出了 a = b 和 p = 0 时上述差分方程组解的渐近行为。最后，还给出了数值示例来支持本文的理论结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.