Existence of Mild Solutions for Impulsive Neutral Stochastic Evolution Integro-differential Equations withState-dependent Delay

The existence of mild solutions for a class of impulsive neutral stochastic evolution integro-differential equations with state-dependent delay was studied. Based on the fixed point theorem, resolvent operator theory and phase space theory, a general theorem of the existence result was obtained under the appropriate conditions by means of the operator semigroup method and stochastic analysis technique. Finally, an example of stochastic heat conduction equation was given to illustrate the validity of the main results.