Non-collision periodic solutions of forced dynamical systems with weak singularities
Non-collision periodic solutions of forced dynamical systems with weak singularities
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DOI：
10.3934/dcds.2004.11.693
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发表时间：
2004-06
影响因子：
1.1
通讯作者：
P. Torres
中科院分区：
文献类型：
--
作者：
P. Torres
本文证明了一类二阶微分系统周期解的存在性，该系统具有吸引或排斥型的奇异位势和周期强迫。证明是基于Banach空间上绝对连续算子的Krasnoselskii不动点定理，这使得可以避免任何类型的“强力”条件。
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.