Exponential stability for nonautonomous impulsive neutral partial stochastic evolution equations with delay

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.

KEYWORDS:

• Nonautonomous impulsive neutral partial stochastic evolution equations
• pseudo almost periodic in distribution
• interpolation theory
• exponential stability
• fixed point

2010 MR SUBJECT CLASSIFICATION:

• 34A37
• 60H10
• 35B15
• 34F05

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.

Additional information

Funding

National Natural Science Foundation of China [grant number 11461019].