A note on regularity property of stochastic convolutions for a class of functional differential equations

DOI10.1080/07362994.2022.2068580zbMath1527.60048OpenAlexW4225250187WikidataQ115297106 ScholiaQ115297106MaRDI QIDQ6176582

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Publication date: 25 July 2023

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2022.2068580

zbMATH Keywords

fundamental solutionstochastic convolutionregularity property

Mathematics Subject Classification ID

Gaussian processes (60G15) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

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• \(L^ 2\)-regularity for parabolic partial integrodifferential equations with delay in the highest-order derivatives
• Semigroups of linear operators and applications to partial differential equations
• Stability for abstract linear functional differential equations
• On fundamental solution of differential equation with time delay in Banach space
• Structural operators and semigroups associated with functional differential equations in Hilbert spaces
• On regularity of stochastic convolutions of functional linear differential equations with memory
• Stochastic Equations in Infinite Dimensions

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