On the periodicity of a difference equation with maximum

DOI10.1155/2008/820629zbMath1149.39005OpenAlexW2025140211WikidataQ58644545 ScholiaQ58644545MaRDI QIDQ937019

Ali Gelisken, Cengiz Çinar, İbrahim Yalçinkaya

Publication date: 20 August 2008

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/129353

zbMATH Keywords

periodic solutionmax difference equationrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

Related Items

Solution of the maximum of difference equation \(x_{n + 1} = \max \left\{\frac{A}{x_{n-1}}, \frac{y_{n}}{x_{n}}\right\};\,\,y_{n+1} = \max\left\{\frac{A}{y_{n-1}},\frac{x_{n}}{y_{n}}\right\}\) ⋮ On the recursive sequence \(x_{n+1} = \max\{x_n,A\}/x_n^2x_{n - 1}\) ⋮ On the dynamics of a higher-order rational difference equation ⋮ On a max-type difference equation ⋮ On the asymptotic behavior and periodic nature of a difference equation with maximum ⋮ On the max-type equation \(x_{n+1}=\max \{\frac{A}{x_n},x_{n-2}\}\) ⋮ On the max-type equation \(x_{n+1} = \max \{1/x_n, A_nx_{n-1}\}\) with a period-two parameter ⋮ On the solutions of the system of difference equations \(x_{n+1}=\max\{A/x_n,y_n/x_n\}\), \(y_{n+1}=\max\{A/y_n,x_n/y_n\}\) ⋮ On the global attractivity of a max-type difference equation

Cites Work

• A note on the periodicity of the Lyness max equation
• On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\)
• Periodic solutions of the Lyness max equation.
• On positive solutions of a reciprocal difference equation with minimum
• A reciprocal difference equation with maximum
• Open Problems and Conjectures
• On the eventual periodicity of with a period-four parameter
• On a max-type difference equation
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