Sharp Boundedness Conditions for a Difference Equation via the Chebyshev Polynomials

DOI10.1080/10236190410001713272zbMath1068.39011OpenAlexW1994071222MaRDI QIDQ4653095

Toufik Mansour, George L. Karakostas

Publication date: 28 February 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190410001713272

zbMATH Keywords

convergenceChebyshev polynomialsboundednesspositive solutionsnonlinear difference equation

Mathematics Subject Classification ID

Cites Work

• The rational recursive sequence \(x_{n+1}=(\beta x^ 2_ n)/(1+x^ 2_{n-1})\)
• Asymptotic Behavior of the Solutions of the Difference Equationf(x^n-1)
• Monotone unstable solutions of difference equations and conditions for boundedness

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