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      Stochastic Volterra equations of nonscalar type in Hilbert space

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          Abstract

          In the paper stochastic Volterra equations of nonscalar type in Hilbert space are studied. The aim of the paper is to provide some results on stochastic convolution and mild solutions to those Volterra equations. The motivation of the paper comes from a model of aging viscoelastic materials. The pseudo-resolvent approach is used.

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          Author and article information

          Journal
          2005-09-01
          2005-12-02
          Article
          math/0509012
          6ec23b2a-a874-4024-9917-b76fca6c0ca9
          History
          Custom metadata
          60H20; 60H05
          10 pages, extended contribution to ISSPSM2005
          math.PR

          Probability
          Probability

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