ABSTRACT
In this paper, we give sufficient conditions for the exponential stability of pseudo almost periodic in distribution mild solutions for nonautonomous impulsive neutral partial stochastic evolution equations with delay in a Hilbert space. Our working tools are based on the interpolation theory, the stochastic analysis techniques and fixed point theorem. To illustrate our main result, we study the exponential stability of a pseudo almost periodic in distribution solution for the neutral stochastic model arising in physical systems.
Acknowledgments
The authors would like to thank the referee for his careful reading of the paper. This work is supported by the National Natural Science Foundation of China (11461019).
Disclosure statement
No potential conflict of interest was reported by the authors.