Piecewise linear difference equations and convexity

DOI10.1080/10236198.2010.524214zbMath1239.39002OpenAlexW2116249933MaRDI QIDQ3225491

G. F. Liddell

Publication date: 21 March 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2010.524214

zbMATH Keywords

convergenceconvexityperiodic solutionasymptotic behaviourCollatz problempiecewise-linear difference equationnumber theoretic graphs

Mathematics Subject Classification ID

Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Periodic solutions of difference equations (39A23) Linear difference equations (39A06)

Related Items (1)

Piecewise-Defined Difference Equations: Open Problem

Cites Work

• Two classes of piecewise-linear difference equations with eventual periodicity six
• Two classes of piecewise-linear difference equations with eventual periodicity three
• On some difference equations with eventually periodic solutions
• Some Equations  with Eventually Periodic Solutions^†
• Some equations with a periodic parameter and eventually periodic solutions

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