Abstract
In this paper, the problems on the existence and uniqueness, the exponential stability in mean square for mild solution of neutral stochastic partial differential equations with infinite delay and Poisson jump are considered. Firstly, the existence and uniqueness for mild solution of such systems is studied by using the Banach fixed point theorem. Then, by establishing an integral inequality, the exponential stability in mean square for mild solution to neutral stochastic partial differential equations with infinite delay and Poisson jump is discussed. Compared with the previous works, our method is new and our results can generalize and improve some existing results. Finally, an example is given to show the effectiveness of the obtained results.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
