Abstract
Robust exponential stability of mild solutions to impulsive stochastic neutral integro-differential equations with delay
Highlights
The Impulsive systems arise naturally in various fields, such as mechanical systems and biological systems, economics, etc. see [8]
Impulsive dynamical systems exhibit the continuous evolutions of the states typically described by ordinary differential equations coupled with instantaneous state jumps or impulses
To this end the theory of impulsive differential systems has emerged as an important area of investigation in applied sciences and impulsive stochastic integro-differential equations studied in [1].In the last few years many papers have
Summary
The Impulsive systems arise naturally in various fields, such as mechanical systems and biological systems, economics, etc. see [8]. The aim of this paper is to study the existence and exponential stability of a class of impulsive control stochastic integro-differential equations of mild solutions by using a new integral inequality. Let X,Y be two real separable Hilbert space and let L(Y.X) denote the space of all bounded linear operators from Y to
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