Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps

Publication date: October 2018Source: Statistics & Probability Letters, Volume 141Author(s): Guiling Chen, Onno van Gaans, Sjoerd Verduyn LunelAbstractIn this paper, the existence, uniqueness and exponential stability of mild solution for a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps are studied. The existence and uniqueness of mild solution are studied by means of successive approximations, and the exponential stability in pth moment of mild solution is investigated by employing an appropriate impulsive-integral inequality. An example is given to illustrate our main results.

Source: Statistics and Probability Letters - July 10, 2018 Category: Statistics Source Type: research