Existence and Uniqueness of Solutions for Delay Stochastic Evolution Equations of Second Order in Time

DOI10.1142/S0219493703000723zbMath1056.60059MaRDI QIDQ4451791

José Real, María J. Garrido-Atienza

Publication date: 1 March 2004

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

stochastic partial differential equationsstochastic evolution equationsstochastic delay evolution equationsstochastic functional partial differential equationsexistence and uniqeness theorems

Mathematics Subject Classification ID

Partial functional-differential equations (35R10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Related Items (4)

PULLBACK AND FORWARD ATTRACTORS FOR A DAMPED WAVE EQUATION WITH DELAYS ⋮ Stability of nonlinear functional stochastic evolution equations of second order in time ⋮ ON THE STOCHASTIC 3D-LAGRANGIAN AVERAGED NAVIER–STOKES α-MODEL WITH FINITE DELAY ⋮ Pathwise solutions and attractors for retarded SPDEs with time smooth diffusion coefficients

Cites Work

• Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property
• Stochastic partial differential equations with delays
• Nonlinear partial functional differential equations: Existence and stability

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