Asymptotics of Slowly Varying Solutions of Ordinary Binomial Differential Equations of the Second Order with Rapidly Varying Nonlinearity

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作者
Evtukhov V.N. [1 ]
Chernikova A.G. [1 ]
机构
[1] Mechnikov Odessa National University, Dvoryanskaya Str., 2, Odessa
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D O I
10.1007/s10958-017-3616-9
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摘要
We establish the conditions for the existence of one class of solutions of a nonautonomous binomial differential equation of the second order with rapidly varying nonlinearity and the asymptotic representations for these solutions and their first derivatives as t ↑ ω (ω ≤ +∞). © 2017, Springer Science+Business Media, LLC, part of Springer Nature.
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页码:207 / 225
页数:18
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