On some resonance cases in quasilinear differential systems with slowly varying parameters

被引：0

作者：

S. A. Shchogolev

机构：

[1] Mechnikov Odessa National University,

来源：

Journal of Mathematical Sciences | 2012年 / 180卷 / 1期

关键词：

Periodic Solution; Fourier Series; Partial Solution; Nonlinear Vibration; Exponential Dichotomy;

D O I：

10.1007/s10958-011-0630-1

中图分类号：

学科分类号：

摘要：

For a quasilinear differential system of the second order whose coefficients have the form of Fourier series with slowly varying coefficients and frequency, we find features of existence of a partial solution of analogous structure with slowly varying coefficients and frequency in the case of purely imaginary eigenvalues of the matrix of the linear part that satisfy a certain resonance relation.

引用

页码：81 / 90

页数：9

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