Some results of solutions to neutral stochastic functional operator-differential equations
Year: 2025
Type: article
Abstract: In this article, we shall consider the solution to neutral stochastic functional operator differential equations with finite delay r > 0 : d D ( t , x t ) = f ( t , x t ) d t + g ( t , x t ) d B ( t ) , t 0 ≤ t ≤ T r\gt 0:{\rm{d}}D\left(t,{x}_{t})=f\left(t,{x}_{t}){\rm{d}}t+g\left(t,{x}_{t}){\rm{d}}B\left(t),\hspace{0.33em}{t}_{0}\le t\le T . By using Banach fixed point theorem, we obtain the existence of the solutions. We also obtain some properties of the solution.
Source: Nonlinear Engineering
Authors: Ling Hu, Zheng Wu, Lianglong Wang
Institutions: Huangshan University, Anhui University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4409528046