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 -