Journal of Applied Mathematics and Stochastic Analysis
Volume 16 (2003), Issue 2, Pages 141-161
doi:10.1155/S1048953303000108
Abstract
We investigate a class of abstract functional integro-differential stochastic evolution equations in a real separable Hilbert space. Global existence results concerning mild and periodic solutions are formulated under various growth and compactness conditions. Also, related convergence results are established and an example arising in the mathematical modeling of heat conduction is discussed to illustrate the abstract theory.