Journal of Applied Mathematics and Stochastic Analysis 
Volume 2004 (2004), Issue 2, Pages 177-192
doi:10.1155/S1048953304309020

Second-order neutral stochastic evolution equations with heredity

Mark A. McKibben

 Mathematics and Computer Science Department, Goucher College, Baltimore 21204, MD, USA
Received 15 September 2003; Revised 23 March 2004

Abstract

Existence, continuous dependence, and approximation results are established for a class of abstract second-order neutral stochastic evolution equations with heredity in a real separable Hilbert space. A related integro-differential equation is also mentioned, as well as an example illustrating the theory.