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- W2938462561 abstract "In this work we solve in closed form the system of difference equations begin{equation*} x_{n+1}=dfrac{ay_nx_{n-1}+bx_{n-1}+c}{y_nx_{n-1}},; y_{n+1}=dfrac{ax_ny_{n-1}+by_{n-1}+c}{x_ny_{n-1}},;n=0,1,..., end{equation*} where the initial values $x_{-1}$, $x_0$, $y_{-1}$ and $y_0$ are arbitrary nonzero real numbers and the parameters $a$, $b$ and $c$ are arbitrary real numbers with $cne 0$. In particular we represent the solutions of some particular cases of this system in terms of Tribonacci and Padovan numbers and we prove the global stability of the corresponding positive equilibrium points. The result obtained here extend those obtained in some recent papers." @default.
- W2938462561 created "2019-04-25" @default.
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- W2938462561 date "2019-04-09" @default.
- W2938462561 modified "2023-09-27" @default.
- W2938462561 title "On a system of difference equations of second order solved in a closed from" @default.
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- W2938462561 hasPublicationYear "2019" @default.
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