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2008/2009 First-Return Limiting Notions and Rings of Sharkovsky Functions
Helena Pawlak, Ryszard J. Pawlak
Real Anal. Exchange 34(2): 549-564 (2008/2009).


In this paper we apply some elements of real analysis theory to the distinguishing of the certain subclass of the class of functions possessing Sharkovsky property. The main aim of this is connected with the answer to the following question: what kind of assumption should we impose on Sharkovsky function $f$ in order to have that there exists a ring of functions possessing Sharkovsky property containing $f$?


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Helena Pawlak. Ryszard J. Pawlak. "First-Return Limiting Notions and Rings of Sharkovsky Functions." Real Anal. Exchange 34 (2) 549 - 564, 2008/2009.


Published: 2008/2009
First available in Project Euclid: 29 October 2009

zbMATH: 1183.26001
MathSciNet: MR2569205

Primary: 26A18 , 37E15
Secondary: 26A15 , 54C40 , 54H25

Keywords: $\cal S$-function , Darboux function , family substituted by a subfamily , first-return continuity , od-set , property $\cal J$ , ring of functions , Sharkovsky function , trajectory

Rights: Copyright © 2008 Michigan State University Press

Vol.34 • No. 2 • 2008/2009
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