The invariance and formulas for solutions of some fifth-order difference equations

被引：0

作者：

Folly-Gbetoula, Mensah ^{[1
]}

Nyirenda, Darlison ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2023年 / 29卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Difference equation; symmetry; reduction; group invariant solutions; LIE SYMMETRIES;

D O I：

10.22436/jmcs.029.02.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Lie group analysis of the difference equations of the form x(n+1) = x(n-4)x(n-3)/x(n)(a(n) + b(n)x(n-4)x(n-3)x(n-2)x(n-1)), where a(n) and b(n) are real sequences, is performed and non-trivial symmetries are derived. Furthermore, we find formulas for exact solutions of the equations. This work generalizes a recent result in the literature.

引用

页码：131 / 141

页数：11

共 25 条

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