On a Study of a Family of Higher-Order Recurrence Relations

被引：6

作者：

Folly-Gbetoula, Mensah ^{[1
]}

Mkhwanazi, Kgatliso ^{[1
]}

Nyirenda, Darlison ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, South Africa

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2022年 / 2022卷

基金：

新加坡国家研究基金会;

关键词：

LIE SYMMETRIES; DIFFERENCE; BEHAVIOR;

D O I：

10.1155/2022/6770105

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this work, group theory is applied to obtain generators of the Lie algebra for a class of rational difference equations of order k+l where k and l are positive integers. This is followed by deriving invariants and solutions via some linear recurrences and with the introduction of some number-theoretic arithmetical functions. Furthermore, sufficient conditions for the existence of solutions for periods two and four are provided in special cases. The results in this paper generalize certain known results.

引用

页数：11

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