Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10527284 | Stochastic Processes and their Applications | 2012 | 21 Pages |
Abstract
This work is concerned with a class of semilinear stochastic functional parabolic differential equations of retarded type. We first establish conditions to ensure the existence of a unique non-negative solution of the stochastic delay partial differential equation under investigation. Subsequently, the problem of explosive or blow-up solutions in mean Lp-norm sense, pâ¥1, in a finite time to the stochastic system is considered. Several examples are given to illustrate the theory established in the work.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Pao-Liu Chow, Kai Liu,