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Periodic solutions of radially symmetric systems with a singularity

Shengjun Li12*, Fang-fang Liao3 and Jianqiang Sun1

Author Affiliations

1 Department of Mathematics, Hainan University, Haikou, 570228, China

2 College of Science, Hohai University, Nanjing, 210046, China

3 Nanjing College of Information Technology, Nanjing, 210046, China

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Boundary Value Problems 2013, 2013:110  doi:10.1186/1687-2770-2013-110

Published: 29 April 2013


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.

periodic solution; singular systems; topological degree