Mild solution of neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients

DOI10.1007/S13370-012-0089-3zbMath1302.93227OpenAlexW1982067986MaRDI QIDQ467932

Modou Lo, Mamadou Abdoul Diop, Khalil Ezzinbi

Publication date: 5 November 2014

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-012-0089-3

zbMATH Keywords

Wiener processmild solutions\(C_0\)-semigroupresolvent operatorPicard iterationneutral stochastic partial functional integrodifferential equations

Mathematics Subject Classification ID

Stochastic stability in control theory (93E15) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Impulsive partial differential equations (35R12)

Related Items (6)

Fundamental results about the fractional integro-differential equation described with Caputo derivative ⋮ Stability for some impulsive neutral stochastic functional integro-differential equations driven by fractional Brownian motion ⋮ Recent advances in statistical data and signal analysis: application to real world diagnostics from medical and biological signals ⋮ The neutral stochastic integrodifferential equations with jumps ⋮ Stochastic partial functional integrodifferential equations driven by a sub-fractional Brownian motion, existence and asymptotic behavior ⋮ Asymptotic stability of impulsive stochastic partial integrodifferential equations with delays

Cites Work

• Unnamed Item
• Existence and uniqueness of mild solutions to some neutral stochastic partial functional integrodifferential equations with non-Lipschitz coefficients
• A note on the existence and uniqueness of mild solutions to neutral stochastic partial functional differential equations with non-Lipschitz coefficients
• Existence of mild solutions to stochastic neutral partial functional differential equations with non-Lipschitz coefficients
• Analytic resolvent operators for integral equations in Banach space
• Successive approximations to solutions of stochastic differential equations
• Successive approximations of solutions to stochastic functional differential equations
• The exponential stability of neutral stochastic delay partial differential equations
• Resolvent Operators for Integral Equations in a Banach Space
• Almost sure exponential stability for stochastic neutral partial functional differential equations
• Stability of Infinite Dimensional Stochastic Differential Equations with Applications
• SUCCESSIVE APPROXIMATIONS OF INFINITE DIMENSIONAL SDES WITH JUMP

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