Periodic solutions of radially symmetric systems with a singularity

Boundary value problems

Fang-fang Liao¹  Shengjun Li²  Jianqiang Sun³ 

[1] College of Science, Hohai University, Nanjing, China;Department of Mathematics, Hainan University, Haikou, China;Nanjing College of Information Technology, Nanjing, China

关键词: periodic solution;    singular systems;    topological degree;   

DOI  :  10.1186/1687-2770-2013-110

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we study the existence of infinitely many periodic solutions to planar radially symmetric systems with certain strong repulsive singularities near the origin and with some semilinear growth near infinity. The proof of the main result relies on topological degree theory. Recent results in the literature are generalized and complemented. MSC:34C25.

【 授权许可】

CC BY