On a third-order system of difference equations
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Publication:433324
DOI10.1016/j.amc.2012.01.034zbMath1243.39011OpenAlexW1964870349MaRDI QIDQ433324
Publication date: 13 July 2012
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2012.01.034
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Cites Work
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- On some solvable systems of difference equations
- Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form
- On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
- On difference equations with powers as solutions and their connection with invariant curves
- Periodicity of a class of nonautonomous max-type difference equations
- On a nonlinear generalized max-type difference equation
- On the nonautonomous difference equation \(x_{n+1} = A_n + \frac{x^p_{n-1}}{x^q_n}\)
- A final result on the oscillation of solutions of the linear discrete delayed equation \({\Delta}x(n) = -p(n)x(n - k)\) with a positive coefficient
- On some systems of difference equations
- Global stability and asymptotics of some classes of rational difference equations
- Dynamics of a \(k\)th order rational difference equation
- A short proof of the Cushing-Henson conjecture
- On a difference equation with maximum
- On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\)
- Global stability of some symmetric difference equations
- Global stability of a max-type difference equation
- Stability of a generalized Putnam equation
- On a system of two nonlinear difference equations
- Trichotomy of a system of two difference equations.
- On the positive solutions of the difference equation \(x_{n+1}=(x_{n-1})/(1+x_{n} x_{n-1})\).
- On the asymptotics of nonlinear difference equations
- On the recursive sequence \(x_{n+1}=x_{n-1}/g(x_n)\)
- Convergence of solutions in a nonhyperbolic case.
- Existence of nontrivial solutions of a rational difference equation
- On positive solutions of a (\(k+1\))th order difference equation
- On the asymptotics of the difference equation y n (1 + y n − 1 … y n − k + 1) = y n − k
- Global behaviour of a second-order nonlinear difference equation
- Periodic solutions to a difference equation with maximum
- On a system of difference equations
- On the rational recursive sequence
- Dynamics of a rational difference equation
- Invariants for systems of two nonlinear difference equations
- Invariants and oscillation for systems of two nonlinear difference equations
- On the system of two difference equations \[ x _{n+1}=\sum _{i=0} ^{k} A _{i}/y _{n-i} ^{p_{i}},\quad y _{n+1}=\sum _{i=0} ^{k} B _{i}/x _{n-i} ^{q_{i}}. \]
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