Olian Fannio, Laura Multiple periodic solutions of Hamiltonian systems with strong resonance at infinity. (English) Zbl 0989.37060 Discrete Contin. Dyn. Syst. 3, No. 2, 251-264 (1997). Summary: An asymptotically linear Hamiltonian system with strong resonance at infinity is considered. The existence of multiple periodic solutions is proved via variational methods in an equivariant setting. See also M. Degiovanni and L. Olian Fannio [Nonlinear Anal., Theory Methods Appl. 26, 1437-1446 (1996; Zbl 0851.34047)]. Cited in 13 Documents MSC: 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) 34C25 Periodic solutions to ordinary differential equations 70H12 Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics 70H30 Other variational principles in mechanics Keywords:asymptotically linear Hamiltonian system; strong resonance; existence of multiple periodic solutions; variational methods Citations:Zbl 0851.34047 PDFBibTeX XMLCite \textit{L. Olian Fannio}, Discrete Contin. Dyn. Syst. 3, No. 2, 251--264 (1997; Zbl 0989.37060) Full Text: DOI