%0 Journal Article
%T The invariance and formulas for solutions of some fifth-order difference equations
%A Folly-Gbetoula, M.
%A Nyirenda, D.
%J Journal of Mathematics and Computer Science
%D 2023
%V 29
%N 2
%@ ISSN 2008-949X
%F Folly-Gbetoula2023
%X Lie group analysis of the difference equations of the form
\[
x_{n+1} =\frac{x_{n-4}x_{n-3}}{x_{n}(a_n +b_nx_{n-4}x_{n-3}x_{n-2}x_{n-1})},
\]
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.
%9 journal article
%R 10.22436/jmcs.029.02.03
%U http://dx.doi.org/10.22436/jmcs.029.02.03
%P 131--141