Periodic solutions to some difference equations over the integers

DOI10.1080/10236190802395172zbMath1205.39014OpenAlexW2096122921MaRDI QIDQ3553521

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Publication date: 21 April 2010

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

Full work available at URL: https://doi.org/10.1080/10236190802395172

zbMATH Keywords

Lucas numbersdifference equationFibonacci identitiesperiodic integer solutions

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Periodic solutions of difference equations (39A23) Linear difference equations (39A06) Oscillation theory for difference equations (39A21)

Related Items (3)

Periodicity of a second-order switched difference system over integers ⋮ Periodic solutions to a third-order conditional difference equation over the integers ⋮ Widely applicable periodicity results for higher order difference equations

Cites Work

• Unnamed Item
• On some difference equations with eventually periodic solutions
• Periodic solutions of arbitrary length in a simple integer iteration
• The 3x + 1 Problem and Its Generalizations
• Open problems and conjectures

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