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Three periodic solutions to an eigenvalue problem for a class of second-order Hamiltonian systems. (English) Zbl 1093.34019
The author studies the eigenvalue problem related to second-order Hamiltonian systems. The main result gives a sufficcient condition for the existence of an open interval of positive eigenvalues in which the problem admits three distinct periodic solutions.

MSC:
34C25 Periodic solutions to ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
37J45 Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods (MSC2010)
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