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On stochastic fractional Volterra equations in Hilbert space

Anna Karczewska, Carlos Lizama

math.PRarXiv:math/0610244

Abstract

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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