Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity

Abstract

Abstract 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.

Keywords

• Control function
• Periodic solutions
• The least action principle
• Minimax methods