On the Second Order Rational Difference Equation $$x_{n+1}=\beta +\frac{1}{x_n x_{n-1}}$$ x n + 1 = β + 1 x n x n - 1
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Publication:2954199
DOI10.1007/978-3-662-52927-0_1zbMath1355.39013OpenAlexW2536604530MaRDI QIDQ2954199
Publication date: 12 January 2017
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-662-52927-0_1
Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
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Cites Work
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- On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\)
- The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
- On second-order rational difference equations, Part 2
- Global asymptotic stability of a second order rational difference equation
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