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

DOI10.1007/978-3-662-52927-0_1zbMath1355.39013OpenAlexW2536604530MaRDI QIDQ2954199

Aija Anisimova

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

zbMATH Keywords

stabilityboundednessperiodicityrational difference equations

Mathematics Subject Classification ID

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)

Related Items (1)

Global behavior of two-dimensional difference equations system with two period coefficients

Cites Work

• Unnamed Item
• 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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