On the Transfer of Generalized Functions by an Evolution Flow

• Datum: 2005
• Hauptverfasser: Karlikova, M. P., Карликова, М. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3662
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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 measur...