Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities (Q1617848)
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scientific article; zbMATH DE number 6975224
| Language | Label | Description | Also known as |
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| English | Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities |
scientific article; zbMATH DE number 6975224 |
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Asymptotic behavior of the solutions of ordinary second-order differential equations with rapidly varying nonlinearities (English)
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8 November 2018
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The authors study a two-term nonautonomous second-order differential equation with rapidly varying nonlinearity. They establish conditions for the existence of a class of solutions of this equation and obtain the asymptotic representations for these solutions and their first-order derivatives.
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second-order differential equation
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rapidly varying nonlinearity
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existence condition
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asymptotic representation
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