On the Asymptotics of Solutions of Second-Order Differential Equations with Rapidly Varying Nonlinearities

被引：1

作者：

Evtukhov, V. M. ^{[1
]}

Chernikova, A. G. ^{[1
]}

机构：

[1] Mechnikov Odessa Natl Univ, Odessa, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2019年 / 71卷 / 01期

关键词：

D O I：

10.1007/s11253-019-01626-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish conditions for the existence of one class of monotone solutions of two-term nonautonomous differential equations of the second order with rapidly varying nonlinearities, as well as the asymptotic representations of these solutions and their first-order derivatives as t up arrow omega (omega <= + infinity).

引用

页码：81 / 101

页数：21

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