Block–Sharkovsky Type Theorem on the Circle Applicable to Differential Equations and Inclusions-Reference-Cited by-同舟云学术

Block–Sharkovsky Type Theorem on the Circle Applicable to Differential Equations and Inclusions

Published:2018-04 Issue:04 Volume:28 Page:1850056
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Andres Jan¹^ORCID,Pastor Karel²

Affiliation:

1. Department of Mathematical Analysis, Faculty of Science, Palacký University, 17, Listopadu 12, 771 46 Olomouc, Czech Republic

2. Department of Mathematics, Faculty of Education, Palacký University, Žižkovo Náměstí 5, 771 40 Olomouc, Czech Republic

Abstract

The forcing properties of periods one, two, three, four, five are investigated for multivalued maps on the circle. The obtained Block–Sharkovsky type theorems are then applied to differential equations and inclusions on [Formula: see text] for the coexistence of (subharmonic) periodic solutions with various periods. These new results can be regarded as a continuation of those presented in our recent paper [Andres & Fišer, 2017].

Funder

Univerzita Palackého v Olomouci

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127418500566

Reference13 articles.

1. Topological Fixed Point Principles for Boundary Value Problems

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3. On the coexistence of irreducible orbits of coincidences for multivalued admissible maps on the circle via Nielsen theory

4. Sharkovsky-Type Theorems on S1 Applicable to Differential Equations

5. Periodic orbits of continuous mappings of the circle without fixed points

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1. Randomized Sharkovsky-type theorems and their application to random impulsive differential equations and inclusions on tori;Stochastics and Dynamics;2019-08-19

2. Sharp Block–Sharkovsky Type Theorem for Multivalued Maps on the Circle and Its Application to Differential Equations and Inclusions;International Journal of Bifurcation and Chaos;2019-08

3. A Multivalued Version of the Block–Sharkovsky Theorem Applicable to Differential Equations on the Circle;International Journal of Bifurcation and Chaos;2018-10