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.
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页码：81 / 90
页数：9
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