Undamped nonlinear beam excited by additive \(L^{2}\)-regular noise
From MaRDI portal
Publication:633987
DOI10.1016/j.cam.2011.05.039zbMath1393.74088OpenAlexW1979177150MaRDI QIDQ633987
Publication date: 2 August 2011
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2011.05.039
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Random vibrations in dynamical problems in solid mechanics (74H50)
Related Items (2)
Nonlinear stochastic wave equations in 1D with fractional Laplacian, power-law nonlinearity and additive \(Q\)-regular noise ⋮ Existence, uniqueness, and stability of Fourier series solutions of stochastic wave equations with cubic nonlinearities in 3D
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Energy of an elastic mechanical system driven by Gaussian noise white in time
- The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
- On a new class of nonlinear wave equations
- On a global solution and asymptotic behaviour for the generalized damped extensible beam equation
- General theorems for numerical approximation of stochastic processes on the Hilbert space \(H_2([0,T, \mu,\mathbb{R}^d)\)]
- Stochastic stability of some mechanical systems with a multiplicative white noise
- Stochastic nonlinear beam equations
- Stochastic PDE for nonlinear vibration of elastic panels
- Stability of regime-switching stochastic differential equations
- Upper bounds on the rate of convergence of truncated stochastic infinite-dimensional differential systems with \(H\)-regular noise
- Free vibrations and dynamic buckling of the extensible beam
- Infinite systems of nonlinear oscillation equations
- Initial-boundary value problems for an extensible beam
- A generalization of a lemma of bellman and its application to uniqueness problems of differential equations
- Theory of functionals that uniquely determine the asymptotic dynamics of infinite-dimensional dissipative systems
- The Invariance of Asymptotic Laws of Linear Stochastic Systems under Discretization
- Stability of Dynamical Systems with a Multiplicative White Noise
- Energy of a string driven by a two-parameter Gaussian noise white in time
- Global Existence and Boundedness of Solutions to the Extensible Beam Equation
- Moment attractivity, stability and contractivity exponents of stochastic dynamical systems
- Stochastic Equations in Infinite Dimensions
This page was built for publication: Undamped nonlinear beam excited by additive \(L^{2}\)-regular noise
