ASYMPTOTIC BEHAVIOR OF THE SOLUTIONS OF THIRD-ORDER DIFFERENTIAL EQUATIONS WITH RAPIDLY VARYING NONLINEARITY

被引：0

作者：

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

Sharay, N., V ^{[1
]}

机构：

[1] I Mechnikov Odessa Natl Univ, Odessa, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2022年 / 74卷 / 06期

关键词：

D O I：

10.1007/s11253-022-02106-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For essentially nonlinear binomial nonautonomous differential equations of the third order with rapidly varying nonlinearity, we establish necessary and sufficient conditions for the existence of rapidly varying solutions and their asymptotic representations as t up arrow omega (omega <= +infinity).

引用

页码：916 / 935

页数：20

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