The lyapunov spectrum and stable manifolds for stochastic linear delay equations

DOI10.1080/17442509008833609zbMath0699.60045OpenAlexW2093196393WikidataQ126241313 ScholiaQ126241313MaRDI QIDQ5899795

Salah-Eldin A. Mohammed

Publication date: 1990

Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/4598

zbMATH Keywords

Lyapunov spectrumstable manifoldsalmost sure stability for stochastic delay equationsinfinite-dimensional multiplicative ergodic theory

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10)

Related Items (10)

Anticipating stochastic differential systems with memory ⋮ Lyapunov exponents of linear stochastic functional differential equations. II: Examples and case studies ⋮ Global stability of stationary solutions for a class of semilinear stochastic functional differential equations with additive white noise ⋮ The stable manifold theorem for non-linear stochastic systems with memory. I: Existence of the semiflow. ⋮ The stable manifold theorem for non-linear stochastic systems with memory. II: The local stable manifold theorem. ⋮ Stability of numerical method for semi-linear stochastic pantograph differential equations ⋮ On the spatial asymptotic behavior of stochastic flows in Euclidean space ⋮ The stable manifold theorem for stochastic differential equations ⋮ Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems ⋮ Spatial estimates for stochastic flows in Euclidean space

Cites Work

• Unnamed Item
• Unnamed Item
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• Hyperinvariant subspaces for bilateral weighted shifts
• Mécanique aléatoire
• Characteristic exponents and invariant manifolds in Hilbert space
• Hereditary differential systems with constant delays. II: A class of affine systems and the adjoint problem
• Theory of functional differential equations. 2nd ed
• On the stability of processes defined by stochastic difference- differential equations
• Hereditary differential systems with constant delays. I. General case
• Flows of stochastic dynamical systems: The functional analytic approach
• Flows of stochastic dynamical systems: ergodic theory
• Stability of linear delay equations under a small noise
• Hyperbolic State Space Decomposition for a Linear Stochastic Delay Equation
• Unstable invariant distributions for a class of stochastic delay equations
• A generalized formula of Ito and some other properties of stochastic flows
• Stochastic integral

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