A Krylov-Bogolyubov-type approximation for continuous-oscillation systems with damping non-linearities (Q1202873)
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scientific article; zbMATH DE number 109428
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Krylov-Bogolyubov-type approximation for continuous-oscillation systems with damping non-linearities |
scientific article; zbMATH DE number 109428 |
Statements
A Krylov-Bogolyubov-type approximation for continuous-oscillation systems with damping non-linearities (English)
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29 March 1993
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The energy-type nonlinear damping models in an infinite-dimensional setting are studied. According to the geometry of the structures considered, energy-type nonlinear damping models are divided into two types. The existence and uniqueness result of the nonlinear damping models is based upon the work of \textit{A. Lunardi} [SIAM J. Math. Anal. 18, 1341-1366 (1987; Zbl 0643.35055)]. Then, a Krylov-Bogolyubov-type approximation is established for the nonlinear damping models in the case where the linear damping part is neglected.
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large flexible space structures
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energy-type nonlinear damping models
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existence
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uniqueness
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