Open Access Research

Periodic solutions for nonautonomous second order Hamiltonian systems with sublinear nonlinearity

Zhiyong Wang1* and Jihui Zhang2

Author affiliations

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

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Citation and License

Boundary Value Problems 2011, 2011:23  doi:10.1186/1687-2770-2011-23

Published: 13 September 2011

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