Mild solutions of neutral stochastic partial functional differential equations

DOI10.1155/2011/186206zbMath1231.60060OpenAlexW2049808726WikidataQ58688892 ScholiaQ58688892MaRDI QIDQ655225

T. E. Govindan

Publication date: 3 January 2012

Published in: International Journal of Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/186206

zbMATH Keywords

existence and uniquenesslocal Lipschitz conditionneutral stochastic partial functional differential equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (3)

New regularity of Kolmogorov equation and application on approximation of semi-linear SPDEs with Hölder continuous drifts ⋮ Mild solutions and Harnack inequality for functional stochastic partial differential equations with Dini drift ⋮ Invariant measure for neutral stochastic functional differential equations with non-Lipschitz coefficients

Cites Work

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• Stability properties in the \(\alpha \)-norm of solutions of stochastic partial functional differential equations.
• Existence and stability in the \(\alpha\)-norm for partial functional differential equations of neutral type
• Existence and regularity in the \(\alpha\)-norm for some neutral partial differential equations with nonlocal conditions
• Semigroups of linear operators and applications to partial differential equations
• Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
• Theory and applications of partial functional differential equations
• Almost sure exponential stability for stochastic neutral partial functional differential equations
• Stochastic Equations in Infinite Dimensions

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