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Functional integro-differential stochastic evolution equations in Hilbert space

David N. Keck and Mark A. McKibben

International Journal of Stochastic Analysis, 2003, vol. 16, 1-21

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.

Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijsa:651929

DOI: 10.1155/S1048953303000108

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