Non-collision periodic solutions of second order singular dynamical systems

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:344

Article

Chu, Jifeng^1,2  Franco, Daniel³ 

[1] Hohai Univ, Coll Sci, Dept Appl Math, Nanjing 210098, Peoples R China

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[3] Univ Nacl Educ Distancia, ETSI Ind, Dept Matemat Aplicada, Madrid 28040, Spain

关键词: non-collision periodic solutions;    second order dynamical systems;    strong singularity;    weak singularity;    fixed point theorem in cones;   

DOI  :  10.1016/j.jmaa.2008.03.041

来源: Elsevier

【 摘 要 】

We study the existence of non-collision periodic solutions for second order singular dynamical systems. The repulsive case and the attractive case are dealt with using a unified topological approach. The proof is based on a well-known fixed point theorem for completely continuous operators, involving a new type of cone. We do not need to consider so-called strong force conditions. Moreover, for the repulsive case, the critical case can be covered. Recent results in the literature, even in the scalar case, are complemented, generalized and improved. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free