Bounded implies eventually periodic for the positive case of reciprocal-max difference equation with periodic parameters

DOI10.1080/10236190701600045zbMath1143.39003OpenAlexW2002897941MaRDI QIDQ5457943

John E. Franke, John Bidwell

Publication date: 10 April 2008

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

Full work available at URL: https://doi.org/10.1080/10236190701600045

zbMATH Keywords

positive solutionbounded solutionrational difference equationeventually periodic solutionreciprocal-max difference equation

Mathematics Subject Classification ID

Related Items (7)

Periodic solution for a max-type fuzzy difference equation ⋮ A survey on max-type difference equations ⋮ On the boundedness of positive solutions of the reciprocal MAX-type difference equation \(x_n=\max\left\{\frac{A_{n-1}^1}{x_{n-1}},\frac{A_{n-1}^2}{x_{n-2}},\cdots,\frac{A_{n-1}^t}{x_{n-t}}\right\}\) with periodic parameters ⋮ Piecewise-Defined Difference Equations: Open Problem ⋮ Periodicity and boundedness for the integer solutions to a minimum-delay difference equation ⋮ Global asymptotic stability for minimum-delay difference equations ⋮ Periods of a max-type equation

Cites Work

• On the periodic nature of the solutions of the reciprocal difference equation with maximum
• On the periodicity of the sequence

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