Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Języki publikacji
Abstrakty
We consider the functional equation of invariant curves [phi(f(x, phi(x))) = g(x, phi(x))] and we look for its solution which has a big graph. Such a graph is big from the point of view of topology and measure theory.
Słowa kluczowe
Wydawca
Rocznik
Tom
Strony
309--317
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
- Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland
Bibliografia
- [1] L. Bartłomiejczyk, Solutions with big graph of homogeneous functional equations, Aequationes Math., 56 (1998) 149-156.
- [2] L. Bartłomiejczyk, Solutions with big graph of iterative functional equations of the first order, Colloq. Math., 82 (1999) 223-230.
- [3] L. Bartłomiejczyk, Solutions with big graph of an equation of the second iteration, Aequationes Math., to be published.
- [4] L. Bartłomiejczyk, Iterative roots with big graph, Real Anal. Exchange, to be published.
- [5] J. P. R.. Christensen, On sets of Haar measure zero in abelian Polish groups, Israel J. Math., 13 (1972) 255-260.
- [6] J. P. R. Christensen, Topology and Borel structure, North-Holland Math. Stud., 10, North-Holland Publishing Company and American Elsevier Publishing Company, Amsterdam-London-New York 1974.
- [7] R. Engelking, General topology, Monografie Matematyczne, 60, PWN-Polish Scientific Publishers, Warszawa 1977.
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- [10] P. Kahlig„1. Smital, On the solutions of a functional equation of .Dhorn-byes, Results Math., 27 (1995) 362-367.
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- [12] M. Kuczma, An introduction to the theory of functional equations and inequalities. Cauchy's equation and Jensen's inequality, Prace Naukowe Uniwersytetu Śląskiego w Katowicach, 489, Państwowe Wydawnictwo Naukowe mid Uniwersytet Śląski, Warszawa-Kraków-Katowice 1985.
- [13] M. Kuczma, B. Choczewski, R. Ger, Iterative functional equations, Encyclopedia Math. App. 32, Cambridge University Press, Cambridge-New York-Port Chester-Melbourne-Sydney 1990.
- [14] K. Kuratowski, A. Mostowski, Set theory, Stud. Logic Found. Math., 86, PWN-Polish Scientific Publishers and North-Holland Publishing Company, Warszawa-Amsterdam-New York-Oxford 1976.
- [15] J. Morawiec, On the existence of irregular solutions of the two-coefficient dilation equation, Aequationes Math., to be published.
- [16] J. C. Oxtoby, Measure and category, Grad. Text in Math., 2, Springer-Verlag, New York-Heidleberg-Berlin 1971.
- [17] K. R. Parthasarathy, Probability measures on metric spaces, Academic Press, New York-San Francisco-London 1967.
- [18] J. Smítal, On Darboux solutions of the. Euler's equation, Aequationes Math., 37 (1989) 279-281.
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