On the solutions of a second-order difference equations in terms of generalized Padovan sequences

Yacine Halim, Julius Fergy T. Rabago

This paper deals with the solution, stability character and asymptotic behavior of the rational difference equation \begin{equation*} x_{n+1}=\frac{αx_{n-1}+β}{ γx_{n}x_{n-1}},\qqu…