Existence and Stability for Stochastic Partial Differential Equations with Infinite Delay
We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as wel...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2014-01-01
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Series: | Abstract and Applied Analysis |
Online Access: | http://dx.doi.org/10.1155/2014/235937 |
Summary: | We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths. Some known results are generalized and improved. |
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ISSN: | 1085-3375 1687-0409 |