99 citations
- Institute of PhysicsPL10 papers
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5 papers · 1 filter
On weak generalized stability and (c,d)-pseudostable random variables via functional equations
W. Jarczyk, J. Misiewicz
In this paper we give a first attempt to define and study stable distributions with respect to the weak generalized convolution, focusing our attention on the symmetric weakly stab…
Stochastic Volterra equations driven by cylindrical Wiener process
Anna Karczewska, Carlos Lizama
In this paper, stochastic Volterra equations driven by cylindrical Wiener process in Hilbert space are investigated. Sufficient conditions for existence of strong solutions are giv…
Weak stability and generalized weak convolution for random vectors and stochastic processes
Jolanta K. Misiewicz
A random vector is weakly stable iff for all there exists a random variable such that . This is equival…
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…