3 citations · 9 across the 6 of their papers we have counts for
6 papers
Stochastic Volterra equations of nonscalar type in Hilbert space
Anna Karczewska
In the paper stochastic Volterra equations of nonscalar type in Hilbert space are studied. The aim of the paper is to provide some results on stochastic convolution and mild soluti…
Regularity of solutions to stochastic Volterra equations with infinite delay
Anna Karczewska, Carlos Lizama
In this article we give necessary and sufficient conditions providing regularity of solutions to stochastic Volterra equations with infinite delay on a -dimensional torus. The h…
Function-valued stochastic convolutions arising in integrodifferential equations
Anna Karczewska
We study stochastic convolutions providing by fundamental solutions of a class of integrodifferential equations which interpolate the heat and the wave equations. We give sufficien…
Maximal type inequalities for linear stochastic Volterra equations
Anna Karczewska
The note is devoted to estimates for convolutions appearing in some class of stochastic Volterra equations. Two maximal inequalities and exponential tail estimate are proved by the…
Stochastic Volterra convolution with Lévy process
Anna Karczewska
In the paper we study stochastic convolution appearing in Volterra equation driven by so called Lévy process. By Lévy process we mean a process with homogeneous independent increme…
Properties of convolutions arising in stochastic Volterra equations
Anna Karczewska
The aim of this note is to provide some results for stochastic convolutions corresponding to stochastic Volterra equations in separable Hilbert space. We study convolution of the f…