The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations

DOI10.1016/j.jmaa.2021.125134zbMath1465.37065arXiv2012.11386OpenAlexW3114092727WikidataQ115345879 ScholiaQ115345879MaRDI QIDQ2020470

Alexandre N. Oliveira-Sousa, Tomás Caraballo Garrido, José Antonio Langa, Alexandre Nolasco De Carvalho

Publication date: 23 April 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11386

zbMATH Keywords

exponential dichotomiesbounded noisedamped wave equationnonautonomous random differential equationsnonautonomous random dynamical systemspersistence of hyperbolic equilibria

Mathematics Subject Classification ID

Stability problems for infinite-dimensional dissipative dynamical systems (37L15) Hyperbolicity, Lyapunov functions for infinite-dimensional dissipative dynamical systems (37L45) Infinite-dimensional random dynamical systems; stochastic equations (37L55) Stability theory for random and stochastic dynamical systems (37H30)

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Structure of non-autonomous attractors for a class of diffusively coupled ODE ⋮ Continuity and topological structural stability for nonautonomous random attractors

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