Random differential inclusions: Measurable selection approach
A. Nowak (1989)
Annales Polonici Mathematici
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A. Nowak (1989)
Annales Polonici Mathematici
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Marcin Kysiak (2005)
Bulletin of the Polish Academy of Sciences. Mathematics
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We show that for a wide class of σ-algebras 𝓐, indicatrices of 𝓐-measurable functions admit the same characterization as indicatrices of Lebesgue-measurable functions. In particular, this applies to functions measurable in the sense of Marczewski.
C. Himmelberg (1975)
Fundamenta Mathematicae
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Andrzej Spakowski (1989)
Acta Universitatis Carolinae. Mathematica et Physica
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C. Himmelberg, T. Parthasarathy, F. Van Vleck (1981)
Fundamenta Mathematicae
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B. Bongiorno, P. Vetro (1978)
Colloquium Mathematicae
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H. Ursell (1939)
Fundamenta Mathematicae
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Kravvaritis, D., Pantelidis, G. (1996)
Serdica Mathematical Journal
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In this paper we study a nonlinear evolution inclusion of subdifferential type in Hilbert spaces. The perturbation term is Hausdorff continuous in the state variable and has closed but not necessarily convex values. Our result is a stochastic generalization of an existence theorem proved by Kravvaritis and Papageorgiou in [6].