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arxiv: math/0610244 · v1 · pith:GAEXSLYZnew · submitted 2006-10-07 · 🧮 math.PR · math.FA

On stochastic fractional Volterra equations in Hilbert space

classification 🧮 math.PR math.FA
keywords stochasticvolterraequationsresolventsadmittingboundedconditionconvergence
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In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties of stochastic convolutions are given. The paper provides a sufficient condition for a stochastic convolution to be a strong solution to a stochastic Volterra equation.

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