Almost sure and moment Lyapunov exponents for a stochastic beam equation

DOI10.1016/j.jfa.2006.10.006zbMath1123.60046OpenAlexW1984608796MaRDI QIDQ880079

Marios Picas, Peter H. Baxendale

Publication date: 10 May 2007

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2006.10.006

zbMATH Keywords

stochastic partial differential equationLyapunov exponentseparation of variablesEuler-Bernoulli beamstochastic averaging

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

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• Asymptotic expansions of the Lyapunov index for linear stochastic systems with small noise
• Stochastic nonlinear beam equations
• A partial differential equation with infinitely many periodic orbits: Chaotic oscillations of a forced beam
• Stochastic PDE for nonlinear vibration of elastic panels
• Stability of Hyperbolic Partial Differential Equations with Random Loads
• On the second Borel-Cantelli lemma for strongly mixing sequences of events
• Moment Lyapunov Exponent and Stability Index for Linear Conservative System with Small Random Perturbation
• Stability of Dynamical Systems with a Multiplicative White Noise
• An explicit description of the Lyapunov exponents of the noisy damped harmonic oscillator
• A Formula Connecting Sample and Moment Stability of Linear Stochastic Systems
• Principle of Averaging for Parabolic and Elliptic Differential Equations and for Markov Processes with Small Diffusion
• Stochastic Equations in Infinite Dimensions

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