A version of Sharkovskii’s theorem for differential equations

DOI10.1090/S0002-9939-04-07627-0zbMath1063.34030OpenAlexW1480631684MaRDI QIDQ4825635

Jan Andres, Karel Pastor

Publication date: 28 October 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07627-0

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential inclusions (34A60)

Related Items (8)

Period two implies all periods for a class of ODEs: A multivalued map approach ⋮ Period two implies chaos for a class of multivalued maps: a naive approach ⋮ The standard Sharkovsky cycle coexistence theorem applies to impulsive differential equations: Some notes and beyond ⋮ Sharkovsky-Type Theorems on S1 Applicable to Differential Equations ⋮ Full analogy of Sharkovsky's theorem for lower semicontinuous maps ⋮ SHARKOVSKII'S THEOREM FOR CONNECTIVITY G_δ-RELATIONS ⋮ Randomization of Sharkovskii-type theorems ⋮ Period two implies chaos for a class of ODEs

Cites Work

• On a multivalued version of the Sharkovskiĭ theorem and its application to differential inclusions. III.
• On a multivalued version of the Sharkovskii theorem and its application to differential inclusions
• On a multivalued version of the Sharkovskii theorem and its application to differential inclusions. II
• Period three plays a negative role in a multivalued version of Sharkovskii's theorem
• On Sharkovsky's cycle coexistence ordering
• Unnamed Item

This page was built for publication: A version of Sharkovskii’s theorem for differential equations