Existence and stability for impulsive neutral stochastic integrodifferential equations with infinite delays

Abstract

This work presents result on the existence and stability of mild solutions for some stochastic partial differential equations with infinite delay with non-lipschitz coefficients. We use the theory of resolvent operator devolopped in R. Grimmer (1982)[8] to show the existence and stability of the mild solutions. An example is provided to illustrate the results of this work.