Random oscillations in some viscoelastic nonlinear systems

DOI10.1007/BF01055951zbMath0588.73156MaRDI QIDQ1073635

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

Publication date: 1985

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

zbMATH Keywords

stochastic integro-differential equationslowly varying solutionapproximated by an ordinary stochastic differential equationmethod of statistical linearization

Mathematics Subject Classification ID

Ordinary differential equations and systems with randomness (34F05) Random vibrations in dynamical problems in solid mechanics (74H50) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

Cites Work

• Structure of the set of solutions of periodic boundary problems
• Exact solution of a particular problem of oscillations of a system with random parametric excitation
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