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.
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页码：693 / 698
页数：6
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