Stability of nonlinear functional stochastic evolution equations of second order in time

DOI10.1007/S10958-006-0302-8zbMath1127.60060OpenAlexW1997204029MaRDI QIDQ876835

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

Publication date: 19 April 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/23715

zbMATH Keywords

stochastic differential delay equationsexponential stability in mean-square

Mathematics Subject Classification ID

Stochastic functional-differential equations (34K50) Stochastic integral equations (60H20)

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
• Existence and Uniqueness of Solutions for Delay Stochastic Evolution Equations of Second Order in Time
• The Exponential Behaviour of Nonlinear Stochastic Functional Equations of Second Order in Time
• CONJUGATION OF FLOWS FOR STOCHASTIC AND RANDOM FUNCTIONAL DIFFERENTIAL EQUATIONS
• On the Relationship Between Solutions of Stochastic and Random Differential Inclusions
• Asymptotic stability theorems of semilinear stochastic evolution equations in hilbert spaces

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