Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity
1 Department of Mathematics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, People's Republic of China
2 Jiangsu Key Laboratory for NSLSCS, School of Mathematics Sciences, Nanjing Normal University, Nanjing 210097, Jiangsu, People's Republic of China
Boundary Value Problems 2011, 2011:23 doi:10.1186/1687-2770-2011-23Published: 13 September 2011
Some existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems with sublinear nonlinearity by using the least action principle and minimax methods in critical point theory.
Mathematics Subject Classification (2000): 34C25, 37J45, 58E50.