Existence and uniqueness of the solution of the stochastic functional differential equation with external random perturbations

It is obtained sufficient conditions for the existence of a strong solution (almost surely) of the stochastic diffusion equation with finite aftereffect under external random processes of arbitrary nature, and found sufficient conditions for the existence of even points of such equations.

Bibliographic Details
Main Authors: В. К. Ясинський, І. В. Юрченко, У. М. Кисілюк
Format: Article
Language:English
Published: State University “Uzhhorod National University” 2017-06-01
Series:Науковий вісник Ужгородського університету. Серія: Математика і інформатика
Online Access:http://visnyk-math.uzhnu.edu.ua/article/view/144047