Periodic Solutions of the Second Order Quadratic Rational Difference Equation $$x_{n+1}=\frac{\alpha }{(1+x_n)x_{n-1}} $$ x n + 1 = α ( 1 + x n ) x n - 1

DOI10.1007/978-3-662-52927-0_3zbMath1355.39020OpenAlexW2532347297MaRDI QIDQ2954201

Inese Bula

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_3

zbMATH Keywords

periodic solutionequilibrium pointrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23)

Cites Work

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• On the periodic solutions for an \(n\)th-order difference equations
• Periodic solutions of first order linear difference equations
• Difference Equations
• Periodicity on discrete dynamical systems generated by a class of rational mappings
• On second-order rational difference equations, Part 2
• A global convergence result with applications to periodic solutions

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