On stochastic fractional Volterra equations in Hilbert space

Details On stochastic fractional Volterra equations in Hilbert space On stochastic fractional Volterra equations in Hilbert space

2006-10-07

arxiv.org/abs/math/0610244v1

Discrete Contin. Dyn. Syst. 2007, suppl., 541-550.

Mathematics

Probability

Extended version of the talk given at AIMS' Sixth International Conference on Dynamical Systems, Differential Equations and Ap

Scientific paper

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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