Counting periodic solutions of the forced pendulum equation

被引：8

作者：

Ortega, R ^{[1
]}

机构：

[1] Univ Granada, Fac Ciencias, Dept Math & Astron, E-18071 Granada, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 42卷 / 06期

关键词：

pendulum; zeros; holomorphic functions;

D O I：

10.1016/S0362-546X(99)00169-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The complex analysis, called the Jensen's inequality, was applied with the theory of conformal mappings to the forced pendulum equation. The result is an upper estimate on the number of periodic solutions. Theorems are presented to prove the method.

引用

页码：1055 / 1062

页数：8

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