On a class of densities of sets of positive integers.
Mačaj, M., Mišík, L., Šalát, T., Tomanová, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Mačaj, M., Mišík, L., Šalát, T., Tomanová, J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Zbigniew Duszyński (2011)
Kragujevac Journal of Mathematics
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Luis González (1992)
Colloquium Mathematicae
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García Armas, Mario, Sánchez Fernández, Carlos (2010)
Banach Journal of Mathematical Analysis [electronic only]
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Luis Bernal-González (1994)
Annales Polonici Mathematici
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We prove some conditions on a complex sequence for the existence of universal functions with respect to sequences of certain derivative and antiderivative operators related to it. These operators are defined on the space of holomorphic functions in a complex domain. Conditions for the equicontinuity of those sequences are also studied. The conditions depend upon the size of the domain.
Kharibegashvili, S. (1997)
Georgian Mathematical Journal
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Michał Morayne (1992)
Fundamenta Mathematicae
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We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
F. S. De Blasi, G. Pianigiani (1992)
Annales Polonici Mathematici
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An existence theorem for the cauchy problem (*) ẋ ∈ ext F(t,x), x(t₀) = x₀, in banach spaces is proved, under assumptions which exclude compactness. Moreover, a type of density of the solution set of (*) in the solution set of ẋ ∈ f(t,x), x(t₀) = x₀, is established. The results are obtained by using an improved version of the baire category method developed in [8]-[10].
Evans, M.J., Humke, P.D. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Jokhadze, O. (1996)
Georgian Mathematical Journal
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Péter Komjáth (1995)
Colloquium Mathematicae
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Hatori, Osamu, Kasuga, Kazuhiro (2009)
Banach Journal of Mathematical Analysis [electronic only]
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