The reduction principle in stability theory of invariant sets of Itô stochastic systems

DOI10.1023/A:1020210724523zbMath1036.34069OpenAlexW117388709MaRDI QIDQ1874940

A. N. Stanzhitskii, A. M. Samoilenko

Publication date: 25 May 2003

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1020210724523

zbMATH Keywords

stability of invariant setsIto stochastic differential equationsreduction principlea.s. stochastic stability

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Ordinary differential equations and systems with randomness (34F05) Asymptotic properties of solutions to ordinary differential equations (34D05)

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