Stability of equilibrium with respect to white noise

DOI10.1134/S008154381609008XzbMath1375.34089OpenAlexW2582388812MaRDI QIDQ2396373

Leonid A. Kalyakin

Publication date: 8 June 2017

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s008154381609008x

zbMATH Keywords

stabilityparabolic equationdynamical systemrandom perturbationbarrier function

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Ordinary differential equations and systems with randomness (34F05)

Cites Work

• Stability of autoresonance models
• Theory and applications of stochastic processes. An analytical approach
• Lyapunov functions in barriers for parabolic equations and in stability problems with respect to ``white noise
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• On the stability of systems with random parameters
• RESONANT INTERACTION OF CHARGED PARTICLES WITH ELECTROMAGNETIC WAVES
• Asymptotic analysis of autoresonance models
• Stochastic differential equations. An introduction with applications.
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