Existence and stability of mild solutions to impulsive stochastic neutral partial functional differential equations

Abstract

In this article, we study a class of impulsive stochastic neutral partial functional differential equations in a real separable Hilbert space. By using Banach fixed point theorem, we give sufficient conditions for the existence and uniqueness of a mild solution. Also the exponential p-stability of a mild solution and its sample paths are obtained.

Keywords

• Existence and uniqueness
• exponential stability
• mild solution
• impulsive stochastic neutral equations