EuDML | Browse

We study the solutions and attractivity of the difference equation $x_{n + 1} = x_{n - 3} / (- 1 + x_{n} x_{n - 1} x_{n - 2} x_{n - 3})$ for $n = 0, 1, 2, \dots$ where $x_{- 3}, x_{- 2}, x_{- 1}$ and $x_{0}$ are real numbers such that $x_{0} x_{- 1} x_{- 2} x_{- 3} \neq 1 .$

On the algebraic difference equations $u_{n + 2} u_{n} = ψ (u_{n + 1})$ in $ℝ_{*}^{+}$ , related to a family of elliptic quartics in the plane.

Bastien, G., Rogalski, M. (2005)

Advances in Difference Equations [electronic only]

On the asymptotic behavior of a difference equation with maximum.

Sun, Fangkuan (2008)

Discrete Dynamics in Nature and Society

On the behavior of solutions of the system of rational difference equations: $x_{n + 1} = x_{n - 1} / (y_{n} x_{n - 1} - 1)$ , $y_{n + 1} = y_{n - 1} / (x_{n} y_{n - 1} - 1)$ , and $z_{n + 1} = z_{n - 1} / (y_{n} z_{n - 1} - 1)$ .

Kurbanli, Abdullah Selçuk (2011)

Discrete Dynamics in Nature and Society

On the difference equation $x_{n + 1} = \frac{a_{0} x_{n} + a_{1} x_{n - 1} + \dots + a_{k} x_{n - k}}{b_{0} x_{n} + b_{1} x_{n - 1} + \dots + b_{k} x_{n - k}}$

Elmetwally M. Elabbasy, Hamdy El-Metwally, E. M. Elsayed (2008)

Mathematica Bohemica

In this paper we investigate the global convergence result, boundedness and periodicity of solutions of the recursive sequence $x_{n + 1} = \frac{a_{0} x_{n} + a_{1} x_{n - 1} + \dots + a_{k} x_{n - k}}{b_{0} x_{n} + b_{1} x_{n - 1} + \dots + b_{k} x_{n - k}}, n = 0, 1, \dots$ where the parameters $a_{i}$ and $b_{i}$ for $i = 0, 1, \dots, k$ are positive real numbers and the initial conditions $x_{- k}, x_{- k + 1}, \dots, x_{0}$ are arbitrary positive numbers.

Currently displaying 1 – 20 of 34

Page 1 Next

Displaying 1 – 20 of 34

On a $(2, 2)$ -rational recursive sequence.

On a conjecture for a higher-order rational difference equation.

On a $k$ -order system of Lyness-type difference equations.

On a max-type difference equation.

On a max-type difference equation.

On a max-type difference inequality and its applications.

On boundedness of the solutions of the difference equation $x_{n + 1} = x_{n - 1} / (p + x_{n})$ .

On global attractivity of a class of nonautonomous difference equations.

On monotone solutions of some classes of difference equations.

On solutions of the difference equation $x_{n + 1} = x_{n - 3} / (- 1 + x_{n} x_{n - 1} x_{n - 2} x_{n - 3})$

On the algebraic difference equations $u_{n + 2} u_{n} = ψ (u_{n + 1})$ in $ℝ_{*}^{+}$ , related to a family of elliptic quartics in the plane.

On the asymptotic behavior of a difference equation with maximum.

On the behavior of solutions of the system of rational difference equations: $x_{n + 1} = x_{n - 1} / (y_{n} x_{n - 1} - 1)$ , $y_{n + 1} = y_{n - 1} / (x_{n} y_{n - 1} - 1)$ , and $z_{n + 1} = z_{n - 1} / (y_{n} z_{n - 1} - 1)$ .

On the difference equation $x_{n + 1} = \frac{a_{0} x_{n} + a_{1} x_{n - 1} + \dots + a_{k} x_{n - k}}{b_{0} x_{n} + b_{1} x_{n - 1} + \dots + b_{k} x_{n - k}}$

On the difference equation $x_{n + 1} = a x_{n} - b x_{n} / (c x_{n} - d x_{n - 1})$ .

On the difference equation $x_{n + 1} = α + x_{n - m} / x_{n}^{k}$ .

On the global asymptotic stability of a second-order system of difference equations.

On the global attractivity of a max-type difference equation.

On the max-type difference equation $x_{n + 1} = max {A / x_{n}, x_{n - 3}}$ .

On the periodicity of a difference equation with maximum.

Currently displaying 1 – 20 of 34