Stochastic Volterra equations driven by cylindrical Wiener process

Details Stochastic Volterra equations driven by cylindrical Wiener process Stochastic Volterra equations driven by cylindrical Wiener process

2006-10-07

arxiv.org/abs/math/0610241v2

Journal of Evolution Equations, vol. 7 (2007) 373-386.

Mathematics

Probability

14 pages. Sufficient conditions for existence of strong solutions for stochastic fractional Volterra equations are given. Some

Scientific paper

10.1007/s00028-007-0302-2

In this paper, stochastic Volterra equations driven by cylindrical Wiener
process in Hilbert space are investigated. Sufficient conditions for existence
of strong solutions are given. The key role is played by convergence of
$\alpha$-times resolvent families.

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