Application of difference equations in divisibility

DOI10.1016/j.amc.2012.08.051zbMath1295.11020OpenAlexW2078651084MaRDI QIDQ2250232

Publication date: 4 July 2014

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.08.051

zbMATH Keywords

divisibility difference equation integer numbers

Mathematics Subject Classification ID

Additive difference equations (39A10) Sequences (mod (m)) (11B50) Multiplicative and other generalized difference equations (39A20)

Cites Work

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On a system of difference equations with period two coefficients
On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
On a third-order system of difference equations
Periodicity of a class of nonautonomous max-type difference equations
The boundedness character of two Stević-type fourth-order difference equations
On a nonlinear generalized max-type difference equation
Dynamical properties of a class of higher-order nonlinear difference equations
On the nonautonomous difference equation \(x_{n+1} = A_n + \frac{x^p_{n-1}}{x^q_n}\)
On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients
On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\)
On the dynamics of the difference equation \(x_{n+1} = \frac{1}{B_nx_n+x_{n+1}}\)
Global stability of a max-type difference equation
Global stability of some classes of higher-order nonlinear difference equations
A note on the global stability of generalized difference equations
Existence of nontrivial solutions of a rational difference equation
On the recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\)
Linear difference equations mod 2 with applications to nonlinear difference equations1
Asymptotic Behavior of the Solutions of the Difference Equationf(x^n-1)
On Impulsive Beverton-Holt Difference Equations and their Applications
On a system of difference equations
On the recursive sequence
Invariants for systems of two nonlinear difference equations
Invariants and oscillation for systems of two nonlinear difference equations

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