Multiplicity of periodic solutions for the planar polynomial equation

被引：8
|
作者：
Borisovich, A [1 ]
Marzantowicz, W
机构：
[1] Univ Gdansk, Inst Math, PL-80952 Gdansk, Poland
[2] Adam Mickiewicz Univ, Fac Math & Informat, Poznan, Poland
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 43卷 / 02期
关键词：
planar ODE; periodic coefficients; periodic solutions; averaging; a priori estimate;
D O I：
10.1016/S0362-546X(99)00191-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonautonomous system of ordinary differential equations was studied. The multiplicity problems based on theorems on the multiplicity of distinct roots of a complex polynomial was studied by using Nielson theory. The main theorem gives a sufficient condition for the existence of periodic solutions for a particular equation by direct integration.
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页码：217 / 231
页数：15
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