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.

引用

页码：217 / 231

页数：15

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