TY - JOUR
AU - Folly-Gbetoula, M.
AU - Nyirenda, D.
PY - 2023
TI - The invariance and formulas for solutions of some fifth-order difference equations
JO - Journal of Mathematics and Computer Science
SP - 131--141
VL - 29
IS - 2
AB - 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.
SN - ISSN 2008-949X
UR - http://dx.doi.org/10.22436/jmcs.029.02.03
DO - 10.22436/jmcs.029.02.03
ID - Folly-Gbetoula2023
ER -