一类随机中立型时滞发展方程解的存在唯一性(英文)

A note of the existence and uniqueness for non-Lipschitz stochastic neutral delay evolution equations driven by Poisson jumps

中立型微分方程不仅依赖现在和过去的状态,而且包含有时滞的导数项.研究一类随机中立型时滞发展方程非Lipschtiz情形下mild解的存在唯一性,改进了最新参考文献的结论.

Neutral differential equations are often used to describe systems which not only depend on present and past states but also involve derivatives with delays.In this paper,we consider the existence and uniqueness of mild solutions to non-Lipschitz stochastic neutral delay evolution equations driven by Poisson jumps.The newest known results are improved.