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Stochastic Volterra equations driven by cylindrical Wiener process

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Abstract.

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 α-times resolvent families.

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Authors and Affiliations

  1. Department of Mathematics, University of Zielona Góra, ul. Szafrana 4a, 65-246, Zielona Góra, Poland

    Anna Karczewska

  2. Departamento de Matemática, Facultad de Ciencias, Universidad de Santiago de Chile, Casilla 307-Correo 2, Santiago, Chile

    Carlos Lizama

Authors
  1. Anna Karczewska
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  2. Carlos Lizama
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Correspondence to Carlos Lizama.

Additional information

Both authors are supported partially by project “Proyecto Anillo: Laboratorio de Analisis Estocastico; ANESTOC”.

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Karczewska, A., Lizama, C. Stochastic Volterra equations driven by cylindrical Wiener process. J. evol. equ. 7, 373–386 (2007). https://doi.org/10.1007/s00028-007-0302-2

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  • DOI: https://doi.org/10.1007/s00028-007-0302-2

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