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Your search keyword '"Pawlak, Ryszard"' showing total 8 results
Start Over Author "Pawlak, Ryszard" Topic mathematical functions
8 results on '"Pawlak, Ryszard"'

7. FIRST-RETURN LIMITING NOTIONS AND RINGS OF SHARKOVSKY FUNCTIONS.

Author

Pawlak, Helena and Pawlak, Ryszard J.

Subjects
*MATHEMATICAL functions, *MATHEMATICAL models, *HYPOTHESIS, *MATHEMATICAL continuum, *DARBOUX transformations
Abstract

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? [ABSTRACT FROM AUTHOR]

Published
2009
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8. ON SOME PROPERTIES OF ESSENTIAL DARBOUX RINGS OF REAL FUNCTIONS DEFINED ON TOPOLOGICAL SPACES.

Author

Pawlak, Ryszard J. and Korczak, Ewa

Subjects
*RING theory, *REAL variables, *MATHEMATICAL functions, *TOPOLOGICAL spaces, *DIFFERENTIAL equations
Abstract

This paper deals with rings of real Darboux functions defined on some topological spaces. Results are given concerning the existence of essential, as well as prime Darboux rings. We prove that, under some assumptions connected with the domain X of the functions, the equalities: D(X) = Slf (X), S(X) = dim(ℜ) hold, where D(X) is a D-number of X, S(X) (Slf (X)) denotes the Souslin (lf-Souslin) number of X and dim(ℜ) is a Goldie dimension of an arbitrary prime Darboux ring ℜ. [ABSTRACT FROM AUTHOR]

Published
2004

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