The Exponential Behaviour of Nonlinear Stochastic Functional Equations of Second Order in Time

DOI10.1142/S0219493703000735zbMath1056.60058MaRDI QIDQ4451792

José Real, María J. Garrido-Atienza, Tomás Caraballo Garrido

Publication date: 1 March 2004

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

zbMATH Keywords

mean square exponential stabilitystochastic partial functional differential equationspathwise exponenital stability

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Partial functional-differential equations (35R10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (3)

Stability of nonlinear functional stochastic evolution equations of second order in time ⋮ Global stability of stationary solutions for a class of semilinear stochastic functional differential equations with additive white noise ⋮ On the exponential stability of stochastic perturbed singular systems in mean square

Cites Work

• Stability of stochastic partial differential equation
• Existence, uniqueness, and asymptotic behavior of mild solutions to stochastic functional differential equations in Hilbert spaces
• On exponential stability criteria of stochastic partial differential equations
• Exponential stability of non-linear stochastic evolution equations
• Stochastic functional partial differential equations: existence, uniqueness and asymptotic decay property
• Asymptotic exponential stability of stochastic partial differential equations with delay
• Lyapunov functionals and asymptotic stability of stochastic delay evolution equations
• CONJUGATION OF FLOWS FOR STOCHASTIC AND RANDOM FUNCTIONAL DIFFERENTIAL EQUATIONS
• Asymptotic Stability of Nonlinear Stochastic Evolution Equations
• Asymptotic stability theorems of semilinear stochastic evolution equations in hilbert spaces

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