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Zbl 1120.60062
Karczewska, Anna; Lizama, Carlos
Stochastic Volterra equations driven by cylindrical Wiener process.
(English)
[J] J. Evol. Equ. 7, No. 2, 373-386 (2007). ISSN 1424-3199; ISSN 1424-3202/e

Summary: Stochastic Volterra equations driven by cylindrical Wiener process in Hilbert space are investigated. Sufficient conditions for the existence of strong solutions are given. The key role is played by convergence of $\alpha$-times resolvent families.
MSC 2000:
*60H20 Stochastic integral equations
60H05 Stochastic integrals
45D05 Volterra integral equations

Keywords: stochastic Volterra equation; $\alpha$-times resolvent family; strong solution; stochastic convolution; convergence of resolvent families

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