Displaying similar documents to “Control functions and total boundedness in the space L 0 .”

Existence of mild solutions for semilinear equation of evolution

Anna Karczewska, Stanisław Wędrychowicz (1996)

Commentationes Mathematicae Universitatis Carolinae

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The aim of this paper is to give an existence theorem for a semilinear equation of evolution in the case when the generator of semigroup of operators depends on time parameter. The paper is a generalization of [2]. Basing on the notion of a measure of noncompactness in Banach space, we prove the existence of mild solutions of the equation considered. Additionally, the applicability of the results obtained to control theory is also shown. The main theorem of the paper allows to characterize...

On Edmunds-Triebel spaces.

Nikolova, L., Zachariades, T. (2010)

Banach Journal of Mathematical Analysis [electronic only]

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A central limit theorem for processes generated by a family of transformations

Marian Jabłoński

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Let τ n , n 0 be a sequence of measure preserving transformations of a probability space (Ω,Σ,P) into itself and let f n , n 0 be a sequence of elements of L 2 ( Ω , Σ , P ) with E f n = 0 . It is shown that the distribution of ( i = 0 n f i τ i . . . τ 0 ) ( D ( i = 0 n f i τ i . . . τ 0 ) ) - 1 tends to the normal distribution N(0,1) as n → ∞. 1985 Mathematics Subject Classification: 58F11, 60F05, 28D99.