On a second order rational systems of difference equations

DOI10.14492/hokmj/1470052352zbMath1346.39018OpenAlexW2477486016MaRDI QIDQ906892

Elsayed M. Elsayed, Nouressadat Touafek

Publication date: 29 January 2016

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1470052352

zbMATH Keywords

periodic solutionsFibonacci sequencesystem of second-order rational difference equations

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23)

Related Items (14)

On a solvable system of rational difference equations of higher order ⋮ On a solvable system of difference equations in terms of generalized Fibonacci numbers ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}\) ⋮ Unnamed Item ⋮ On the solutions of a system of third-order rational difference equations ⋮ Periodic solutions of a system of nonlinear difference equations with periodic coefficients ⋮ Investigating dynamical behaviors of the difference equation \(x_{n+1}= \frac{Cx_{n-5}}{A+Bx_{n-2}x_{n-5}}\) ⋮ Solvability of a system of higher order nonlinear difference equations ⋮ Dynamics of a three-dimensional systems of rational difference equations ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-17}}{\pm 1 \pm x_{n-2} x_{n-5} x_{n-8} x_{n-11} x_{n-14} x_{n-17}}\) ⋮ Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients ⋮ Solution form of a higher‐order system of difference equations and dynamical behavior of its special case ⋮ Expression and behavior of the solutions of some rational recursive sequences ⋮ On a solvable three-dimensional system of difference equations

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