Periodic solutions of radially symmetric systems with a singularity
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
Boundary Value Problems 2013, 2013:110 doi:10.1186/1687-2770-2013-110Published: 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.