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International Journal of Stochastic Analysis
Volume 2011 (2011), Article ID 186206, 13 pages
doi:10.1155/2011/186206
Mild Solutions of Neutral Stochastic Partial Functional Differential Equations
Departamento de Matemáticas, ESFM, Instituto Politécnico Nacional, 07738 México, DF, Mexico
Received 28 December 2010; Revised 8 May 2011; Accepted 7 June 2011
Academic Editor: V. V. Anh
Copyright © 2011 T. E. Govindan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
This paper studies the existence and uniqueness of a mild solution for a neutral stochastic partial functional differential equation using a local Lipschitz condition. When the neutral term is zero and even in the deterministic special case, the result obtained here appears to be new. An example is included to illustrate the theory.