Periodic and Almost Periodic Random Inertial Manifolds for Non-Autonomous Stochastic Equations

DOI10.1007/978-3-319-19075-4_11zbMath1335.37034arXiv1409.3883OpenAlexW1542832606MaRDI QIDQ2803692

Bixiang Wang

Publication date: 2 May 2016

Published in: Studies in Systems, Decision and Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.3883

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential equations and systems with randomness (34F05) Generation, random and stochastic difference and differential equations (37H10)

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Cites Work

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• Sufficient and necessary criteria for existence of pullback attractors for non-compact random dynamical systems
• Inertial manifolds for stochastic PDE with dynamical boundary conditions
• Invariant manifolds for stochastic wave equations
• Unstable invariant manifolds for stochastic PDEs driven by a fractional Brownian motion
• Stability theory and the existence of periodic solutions and almost periodic solutions
• Invariant manifolds for stochastic partial differential equations.
• Smooth stable and unstable manifolds for stochastic evolutionary equations
• The stable manifold theorem for stochastic differential equations
• Inertial manifolds and forms for semilinear parabolic equations subjected to additive white noise
• Lyapunov exponents and invariant manifolds for random dynamical systems in a Banach space
• Invariant manifolds for random and stochastic partial differential equations
• Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems
• Stochastic inertial manifold
• Inertial manifolds and forms for stochastically perturbed retarded semilinear parabolic equations