Article ID Journal Published Year Pages File Type
4628170 Applied Mathematics and Computation 2014 11 Pages PDF
Abstract

In this paper, we consider the existence and uniqueness of square-mean and weighted pseudo almost automorphic mild solutions to a class of nonautonomous stochastic neutral differential equations with infinite delay in real separable Hilbert spaces. A new set of sufficient conditions are established for obtaining the required result. To prove the main result, we use Banach contraction principle together with evolution family of operators. Some known results are generalized and improved. An application to the stochastic nonlinear heat equation with infinite delay is provided to illustrate the obtained theory.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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