On positive solutions for the rational difference equation systems \(x_{n + 1} = A / x_n y_n^2\), and \(y_{n + 1} = B y_n / x_{n - 1} y_{n - 1}\)

DOI10.1155/2014/857480zbMath1486.39013OpenAlexW1566673105WikidataQ36979484 ScholiaQ36979484MaRDI QIDQ1727815

Hui-li Ma, Hui Feng

Publication date: 21 February 2019

Published in: International Scholarly Research Notices. Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/857480

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (1)

On the solutions of a system of third-order rational difference equations

Cites Work

• On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
• On the system of rational difference equations \(x_n=A+y_{n-1}/x_{n-p}y_{n-q}\), \(y_n=A+x_{n-1}/x_{n-r}y_{n-s}\)
• 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 system of rational difference equations \(x_n=a/y_{n-3}\), \(y_n=by_{n-3}/x_{n-q}y_{n-q}\)
• On the system of high order rational difference equations \(x_{n}=\frac {a}{y_{n-p}}, y_{n}=\frac {by_{n-p}}{x_{n-q}{y_{n-q}}}\)

This page was built for publication: On positive solutions for the rational difference equation systems \(x_{n + 1} = A / x_n y_n^2\), and \(y_{n + 1} = B y_n / x_{n - 1} y_{n - 1}\)