Infinitely many periodic solutions for a class of new superquadratic second-order Hamiltonian systems.(English)Zbl 1351.37233

Summary: In this paper, we establish the existence of infinitely many periodic solutions for a class of new superquadratic second-order Hamiltonian systems. Our technique is based on the Fountain Theorem due to T. Bartsch [Nonlinear Anal., Theory Methods Appl. 20, No. 10, 1205–1216 (1993; Zbl 0799.35071)].

MSC:

 37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010) 34C25 Periodic solutions to ordinary differential equations

Zbl 0799.35071
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References:

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