LONG TERM BEHAVIOR OF DICHOTOMOUS STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACES

DOI10.1142/S0219199704001379zbMath1083.60057OpenAlexW2016713628MaRDI QIDQ5315544

Onno van Gaans, Sjoerd M. Verduyn Lunel

Publication date: 8 September 2005

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199704001379

zbMATH Keywords

evolution equationinvariant measurehyperbolic equationstochastic delay differential equation

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Applications of operator theory to differential and integral equations (47N20) Stochastic integral equations (60H20)

Related Items (5)

Existence of an invariant measure for stochastic evolutions driven by an eventually compact semigroup ⋮ Approximation of the random inertial manifold of singularly perturbed stochastic wave equations ⋮ Persistence of stability for equilibria of map iterations in Banach spaces under small random perturbations ⋮ Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise ⋮ Invariant measure and random attractors for stochastic differential equations with delay

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