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2014 Stochastic Volterra equations under perturbations
Anna Karczewska, Carlos Lizama
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Electron. Commun. Probab. 19: 1-14 (2014). DOI: 10.1214/ECP.v19-3365

Abstract

We study stochastic perturbed Volterra equations of convolution type in an infinite dimensional case. Our interest is directed towards the existence and regularity of stochastic convolutions connected to the equations considered under some kind of perturbations. We use an operator theoretical method for the representation of solutions.

Citation

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Anna Karczewska. Carlos Lizama. "Stochastic Volterra equations under perturbations." Electron. Commun. Probab. 19 1 - 14, 2014. https://doi.org/10.1214/ECP.v19-3365

Information

Accepted: 14 May 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1314.60134
MathSciNet: MR3208327
Digital Object Identifier: 10.1214/ECP.v19-3365

Subjects:
Primary: 60H20
Secondary: 45D05 , 60H05

Keywords: additive perturbation , ‎resolvent family , Stochastic convolution , Stochastic linear Volterra equation

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