Stochastic Volterra equations driven by cylindrical Wiener process

Anna Karczewska; Carlos Lizama

doi:10.1007/s00028-007-0302-2

Stochastic Volterra equations driven by cylindrical Wiener process

概率论 2007-06-14 v2 泛函分析

作者: Anna Karczewska , Carlos Lizama

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

In this paper, stochastic Volterra equations driven by cylindrical Wiener process in Hilbert space are investigated. Sufficient conditions for existence of strong solutions are given. The key role is played by convergence of $\alpha$ -times resolvent families.

关键词

volterra equations

引用

@article{arxiv.math/0610241,
  title  = {Stochastic Volterra equations driven by cylindrical Wiener process},
  author = {Anna Karczewska and Carlos Lizama},
  journal= {arXiv preprint arXiv:math/0610241},
  year   = {2007}
}

备注

14 pages. Sufficient conditions for existence of strong solutions for stochastic fractional Volterra equations are given. Some proofs precised

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