Under an appropriate oscillating behavior of the nonlinear term, the existence of infinitely many periodic solutions for a class of second order Hamiltonian systems is established. Moreover, the existence of two non-trivial periodic solutions for Hamiltonian systems with not coercive potential is obtained, and the existence of three periodic solutions for Hamiltonian systems with coercive potential is pointed out. The approach is based on critical point theorems. © 2009 Elsevier Inc. All rights reserved.
Bonanno, G., Livrea, R. (2010). Multiple periodic solutions for Hamiltonian systems with not coercive potential. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 363(2), 627-638 [10.1016/j.jmaa.2009.09.025].
Multiple periodic solutions for Hamiltonian systems with not coercive potential
Livrea, Roberto
2010-01-01
Abstract
Under an appropriate oscillating behavior of the nonlinear term, the existence of infinitely many periodic solutions for a class of second order Hamiltonian systems is established. Moreover, the existence of two non-trivial periodic solutions for Hamiltonian systems with not coercive potential is obtained, and the existence of three periodic solutions for Hamiltonian systems with coercive potential is pointed out. The approach is based on critical point theorems. © 2009 Elsevier Inc. All rights reserved.
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