On the stability of oscillations representable by Fourier series with slowly varying parameters

被引：0

作者：

Kostin, A. V. ^{[1
]}

Shchegolev, S. A. ^{[1
]}

机构：

[1] Odessa Natl Univ, Odessa, Ukraine

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 01期

关键词：

FOURIER Series; Asymptotic Stability; Slow Parameter; Asymptotic Method; Trigonometric Series;

D O I：

10.1134/S0012266108010047

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a quasilinear almost triangular differential system whose coefficients are representable by trigonometric series with slowly varying coefficients and frequency, we obtain conditions for the existence of a particular solution of similar structure and study the stability of this solution.

引用

页码：47 / 53

页数：7

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