Non-collision periodic solutions of second order singular dynamical systems |
| |
Authors: | Jifeng Chu Daniel Franco |
| |
Institution: | a Department of Applied Mathematics, College of Science, Hohai University, Nanjing 210098, China b Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China c Departamento de Matemática Aplicada, ETSI Industriales, UNED, c/Juan del Rosal 12, Madrid 28040, Spain |
| |
Abstract: | 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. |
| |
Keywords: | Non-collision periodic solutions Second order dynamical systems Strong singularity Weak singularity Fixed point theorem in cones |
本文献已被 ScienceDirect 等数据库收录! |
|