2019
Том 71
№ 11

# On the Transfer of Generalized Functions by an Evolution Flow

Karlikova M. P.

Abstract

We investigate properties of a solution of a stochastic differential equation with interaction and their dependence on a space variable. It is shown that $x(u, t) − u$ belongs to $S$ under certain conditions imposed on the coefficients, and, furthermore, it depends continuously on the initial measure as an element of S. We also study the problem of the existence of a solution of the equation governed by a generalized function.

English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 8, pp 1201-1213.

Citation Example: Karlikova M. P. On the Transfer of Generalized Functions by an Evolution Flow // Ukr. Mat. Zh. - 2005. - 57, № 8. - pp. 1020 – 1029.

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