The Sharkovskiĭ Theorem for spaces of measurable functions

DOI10.1016/j.jmaa.2010.07.033zbMath1209.37019OpenAlexW1995050837MaRDI QIDQ711008

Paweł Barbarski

Publication date: 25 October 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.07.033

zbMATH Keywords

\(L^p\)-spacesspaces of measurable functionscontinuous multifunctionsmeasurable multifunctionsselection theoremsSharkovskii Theorem

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25)

Related Items (5)

Coexistence of Random Subharmonic Solutions of Random Impulsive Differential Equations and Inclusions on a Circle ⋮ Randomization of Sharkovsky-type results on the circle ⋮ Randomized Sharkovsky-type results and random subharmonic solutions of differential inclusions ⋮ Continuous functions in rings generated by a single Darboux function ⋮ Application of the randomized Sharkovsky-type theorems to random impulsive differential equations and inclusions

Cites Work

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• A Sharkovskii-type theorem for minimally forced interval maps
• Full analogy of Sharkovsky's theorem for lower semicontinuous maps
• On Sharkovsky's cycle coexistence ordering
• Measurable relations
• PERIODICITY AND SHARKOVSKY'S THEOREM FOR RANDOM DYNAMICAL SYSTEMS
• Universal Phenomena in Solution Bifurcations of Some Boundary Value Problems
• Sharkovskiĭ's theorem holds for some discontinuous functions
• Randomization of Sharkovskii-type theorems
• Topological Fixed Point Theory of Multivalued Mappings

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