Random oscillations in quasilinear systems of stochastic differential equations with delay

DOI10.1007/BF01058473zbMath0604.34035OpenAlexW2091655342MaRDI QIDQ1083600

Nguyen Dong An', Yu. O. Mitropol's'kii

Publication date: 1986

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058473

zbMATH Keywords

examplerandom oscillationrandom disturbancesfirst order differential equationsmall positive parameterstochastic mechanical system

Mathematics Subject Classification ID

Stochastic systems and control (93E99) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Ordinary differential equations and systems with randomness (34F05) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Dynamical systems and ergodic theory (37-XX)

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Необходимые условия оптимальности второго порядка в одной стохастической задаче оптимального управления с переменным запаздывающим аргументом

Cites Work

• A method for solving the Hamilton-Jacobi equations in analytical mechanics
• Exact solution of a particular problem of oscillations of a system with random parametric excitation
• Random Vibration: A Survey of Recent Developments
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