On an open question concerning product-type difference equations
From MaRDI portal
Publication:1787815
DOI10.1007/s40995-017-0427-2zbMath1397.39005arXiv1511.00359OpenAlexW2962755244MaRDI QIDQ1787815
Publication date: 5 October 2018
Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.00359
solutionsperiodicitydifference equationssystem of equationshomogeneous differential equationssecond-order linear recurrence sequences
Linear ordinary differential equations and systems (34A30) Discrete version of topics in analysis (39A12) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)
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Cites Work
- 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 a higher-order difference equation
- 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 \(x_{n}=\frac {a}{y_{n-p}}, y_{n}=\frac {by_{n-p}}{x_{n-q}{y_{n-q}}}\)
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