<abstract xmlns="http://www.w3.org/1999/xhtml"><p> Examinations of Sharkovsky’s property for discontinuous functions are usually connected with complex considerations. In this paper we ascertain the relation between two families of functions giving possibility to resolve the question about Sharkovsky’s property of functions belonging to one of those families into examination <italic>J</italic>1 property of the second of them.</p></abstract>

Examinations of Sharkovsky’s property for discontinuous functions are usually connected with complex considerations. In this paper we ascertain the relation between two families of functions giving possibility to resolve the question about Sharkovsky’s property of functions belonging to one of those families into examination J1 property of the second of them.

On the Sharkovsky’s property of Darboux functions

Faculty of Mathematics and Computer Science Łódź University Banacha 22 PL–90-238  Łódź POLAND

The College of Computer Science Rzgowska 17a PL–93-008 Łódź POLAND

Tatra Mountains Mathematical Publications

{"article-title":"On the Sharkovsky\u2019s property of Darboux functions"}

Examinations of Sharkovsky’s property for discontinuous functions are usually connected with complex considerations. In this paper we ascertain the relation...

On the Sharkovsky’s property of Darboux functions

Published Online: Nov 12, 2012

Page range: 95 - 105

DOI: https://doi.org/10.2478/v10127-009-0010-0

Keywords
Darboux function, periodic point, Sharkovsky’s function, property J, family substituted by a class of functions.

This content is open access.

On the Sharkovsky’s property of Darboux functions

Published Online: Nov 12, 2012

Page range: 95 - 105

DOI: https://doi.org/10.2478/v10127-009-0010-0

KeywordsDarboux function, periodic point, Sharkovsky’s function, property J, family substituted by a class of functions.

This content is open access.

Keywords
Darboux function, periodic point, Sharkovsky’s function, property J, family substituted by a class of functions.