Stochastic functional evolution equations with monotone nonlinearity: existence and stability of the mild solutions

DOI10.1016/j.jde.2009.12.012zbMath1210.34112OpenAlexW1985188104MaRDI QIDQ2269632

Ruhollah Jahanipur

Publication date: 17 March 2010

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.12.012

zbMATH Keywords

asymptotic stabilitymild solutiondemicontinuousBurkholder inequalitysemi-monotoneItô-type inequality

Mathematics Subject Classification ID

Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) General theory of functional-differential equations (34K05)

Related Items (8)

On almost periodic mild solutions for stochastic functional differential equations ⋮ Periodic solutions to impulsive stochastic reaction-diffusion neural networks with delays ⋮ Exponential stability for a class of stochastic reaction-diffusion Hopfield neural networks with delays ⋮ Invariant manifolds for nonautonomous stochastic evolution equation ⋮ Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions ⋮ Stability of Neutral Impulsive Nonlinear Stochastic Evolution Equations with Time Varying Delays ⋮ Existence-uniqueness and stability of the mild periodic solutions to a class of delayed stochastic partial differential equations and its applications ⋮ NEWTON S METHOD FOR STOCHASTIC FUNCTIONAL EVOLUTION EQUATIONS IN HILBERT SPACES

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