The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.
Bonanno, G., Livrea, R., Schechter, M. (2017). Multiple solutions of second order Hamiltonian systems. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017(33), 1-15 [10.14232/ejqtde.2017.1.33].
Multiple solutions of second order Hamiltonian systems
Livrea, Roberto;
2017-01-01
Abstract
The existence and the multiplicity of periodic solutions for a parameter dependent second order Hamiltonian system are established via linking theorems. A monotonicity trick is adopted in order to prove the existence of an open interval of parameters for which the problem under consideration admits at least two non trivial qualified solutions.
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