带无限延迟和泊松跳项的一类NSPDE温和解的存在唯一性

The Existence and Uniqueness of Mild Solution for a Class of NSPDE with Infinite Delay and Poisson Jumps

在可分的实希尔伯特空间中考虑了一类带有无限延迟和泊松跳项的非自治随机偏微分方程温和解的性质问题．通过使用泛函分析中的巴拿赫不动点定理，主要证明了相应方程温和解的存在唯一性．与针对此非自治随机偏微分方程先前的研究工作相比，得出的结论是新的，并且文中使用的方法可以进一步推广到其他的非自治随机微分方程的研究中.

In this paper,the problems properties of mild solutions for a class of non-autonomous stochastic partial differential equations with infinite delay and poisson jumps are considered in real separable Hilbert spaces.By using the Banach fixed point theorem,the existence and uniqueness of mild solution is studied. Compared with the previous work, our results is new for this non-autonomous stochastic partial differential equations and this method can generalize to others equations.