SHARKOVSKII'S THEOREM FOR CONNECTIVITY Gδ-RELATIONS-Reference-Cited by-同舟云学术

SHARKOVSKII'S THEOREM FOR CONNECTIVITY Gδ-RELATIONS

Published:2006-08 Issue:08 Volume:16 Page:2377-2393
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

ANDRES JAN¹,ŠNYRYCHOVÁ PAVLA¹,SZUCA PIOTR²

Affiliation:

1. Department of Mathematics Analysis, Faculty of Science, Palacký University, Tomkova 40, 779 00 Olomouc-Hejčín, Czech Republic

2. Department of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

Abstract

A version of Sharkovskii's cycle coexistence theorem is formulated for a composition of connectivity Gδ-relations with closed values. Thus, a multivalued version in [Andres & Pastor, 2005] holding with at most two exceptions for M-maps, jointly with a single-valued version in [Szuca, 2003], for functions with a connectivity Gδ-graph, are generalized. In particular, our statement is applicable to differential inclusions as well as to some discontinuous functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127406016136

Reference16 articles.

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2. Period three plays a negative role in a multivalued version of Sharkovskii's theorem

3. Topological Fixed Point Principles for Boundary Value Problems

4. On a multivalued version of the Sharkovskii theorem and its application to differential inclusions, III

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