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Periodic solutions of a class of second order non-autonomous Hamiltonian systems. (English) Zbl 1206.34060

For a class of non-autonomous second order Hamiltonian systems the authors prove the existence of periodic solutions. The machinery involves the least action principle and minimax method in critical point theory.

MSC:

34C25 Periodic solutions to ordinary differential equations
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)
58E50 Applications of variational problems in infinite-dimensional spaces to the sciences
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