On exponentially small terms of solutions to nonlinear ordinary differential equations (Q1902347)
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scientific article; zbMATH DE number 818484
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On exponentially small terms of solutions to nonlinear ordinary differential equations |
scientific article; zbMATH DE number 818484 |
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On exponentially small terms of solutions to nonlinear ordinary differential equations (English)
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30 May 1996
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The author considers a first-order system with a slowly-varying matrix and a small nonlinear part that depends on two times. The first one is a slowly-varying time. The nonlinear part is periodic in the second time. Combining the ideas of averaging method and frozen coefficients method the author finds a main part of the asymptotics of the solution on a large time interval.
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slowly-varying matrix
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averaging method
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frozen coefficients method
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asymptotics
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