Hata, Kazuya; Liu, Jiaquan; Wang, Zhi-Qiang Note on periodic solutions of relativistic pendulum type systems. (English) Zbl 1300.34092 Topol. Methods Nonlinear Anal. 42, No. 2, 417-425 (2013). Summary: We establish multiplicity results for periodic solutions of relativistic pendulum type systems of ordinary differential equations. We provide a different approach to the problems and answer some questions raised by Brezis and Mawhin recently. Cited in 2 Documents MSC: 34C25 Periodic solutions to ordinary differential equations 58E30 Variational principles in infinite-dimensional spaces 58E35 Variational inequalities (global problems) in infinite-dimensional spaces 34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations Keywords:Hamiltonian systems PDFBibTeX XMLCite \textit{K. Hata} et al., Topol. Methods Nonlinear Anal. 42, No. 2, 417--425 (2013; Zbl 1300.34092)