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The Kuratowski function and some applications to the probabilistic metric spaces

Gheorghe Bocșan; Gheorghe Constantin — 1973

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

Gli Autori estendono il numero di Kuratowski allo spazio metrico probabilistico introdotto da K. Menger e danno alcune caratterizzazioni degli insiemi probabilistici precompatti.

Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients

Dorel Barbu; Gheorghe Bocşan — 2002

Czechoslovak Mathematical Journal

In the present paper, using a Picard type method of approximation, we investigate the global existence of mild solutions for a class of Ito type stochastic differential equations whose coefficients satisfy conditions more general than the Lipschitz and linear growth ones.

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