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Strong solutions to stochastic Volterra equations |
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| Authors: | Anna Karczewska Carlos Lizama |
| Affiliation: | a Department of Mathematics, University of Zielona Góra, ul. Szafrana 4a, 65-516 Zielona Góra, Poland b Universidad de Santiago de Chile, Departamento de Matemática, Facultad de Ciencias, Casilla 307-Correo 2, Santiago, Chile |
| Abstract: | In this paper stochastic Volterra equations admitting exponentially bounded resolvents are studied. After obtaining convergence of resolvents, some properties for stochastic convolutions are studied. Our main results provide sufficient conditions for strong solutions to stochastic Volterra equations. |
| Keywords: | Stochastic linear Volterra equation Resolvent Strong solution Stochastic convolution |
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