Periodicity of the solutions of general system of rational difference equations related to fibonacci numbers

DOI10.1142/S1793557122500875zbMath1492.39008OpenAlexW3204098648MaRDI QIDQ5083029

Ibtissam Talha, Salim Badidja

Publication date: 21 June 2022

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557122500875

zbMATH Keywords

periodic solutionsFibonacci numberssystems of difference equations

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Periodic solutions of difference equations (39A23)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the positive solutions of the difference equation system \(X_{n+1}=\frac {1} {y_n},\) \(Y_{n+1}=\frac {Y_n} {X_{n-1}Y_{n-1}}\)
• On the positive solutions of the system of rational difference equations \(x_{n+1}=1/y_{n - k}, y_{n+1}=y_{n}/x_{n - m}y_{n - m - k}\)
• On the global asymptotic stability of a second-order system of difference equations
• On the system of rational difference equations \(x_n=a/y_{n-3}\), \(y_n=by_{n-3}/x_{n-q}y_{n-q}\)
• ON THE SOLUTIONS OF A CLASS OF DIFFERENCE EQUATIONS SYSTEMS

This page was built for publication: Periodicity of the solutions of general system of rational difference equations related to fibonacci numbers