On the Transfer of Generalized Functions by an Evolution Flow

• Дата: 2005
• Автори: Karlikova, M. P., Карликова, М. П.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: 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...