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Multiple periodic solutions of Hamiltonian systems with strong resonance at infinity. (English) Zbl 0989.37060
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)].

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
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