Non-collision periodic solutions of forced dynamical systems with weak singularities

被引：35

作者：

Torres, PJ ^{[1
]}

机构：

[1] Univ Granada, Dept Matemat Aplicada, E-18071 Granada, Spain

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2004年 / 11卷 / 2-3期

关键词：

periodic solution; singular potential; weak singularity;

D O I：

10.3934/dcds.2004.11.693

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the existence of periodic solutions in a second order differential system with a singular potential of attractive or repulsive type and forced periodically. The proof is based on a Krasnoselskii fixed point theorem for absolutely continuous operators on a Banach space, and this makes possible to avoid any kind of "strong force" condition.

引用

页码：693 / 698

页数：6

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