On the solutions of systems of difference equations.

Yalçinkaya, İbrahim; Çinar, Cengiz; Atalay, Muhammet

Displaying similar documents to “On the solutions of systems of difference equations.”

On the solutions of the system of difference equations $x_{n + 1} = max {A / x_{n}, y_{n} / x_{n}}$ , $y_{n + 1} = max {A / y_{n}, x_{n} / y_{n}}$ .

Simsek, Dağistan, Demir, Bilal, Cinar, Cengiz (2009)

Discrete Dynamics in Nature and Society

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On global attractivity of a class of nonautonomous difference equations.

Liu, Wanping, Yang, Xiaofan, Cao, Jianqiu (2010)

Discrete Dynamics in Nature and Society

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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)

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

Gelişken, Ali, Çinar, Cengiz (2009)

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Unboundedness results for systems

Gabriel Lugo, Frank Palladino (2009)

Open Mathematics

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We study k th order systems of two rational difference equations $x_{n} = \frac{α + \sum_{i = 1}^{k} β_{i} x_{n - i} + \sum_{i = 1}^{k} γ_{i} y_{n - i}}{A + \sum_{j = 1}^{k} B_{j} x_{n - j} + \sum_{j = 1}^{k} C_{j} y_{n - j}}, n \in ℕ,$ In particular we assume non-negative parameters and non-negative initial conditions. We develop several approaches which allow us to prove that unbounded solutions exist for certain initial conditions in a range of the parameters.