6533b857fe1ef96bd12b4fab

RESEARCH PRODUCT

Multiple periodic solutions for Hamiltonian systems with not coercive potential

Roberto LivreaGabriele Bonanno

subject

Applied MathematicsMathematical analysisSecond order equationMultiple solutionNonlinear differential problemsCritical point (mathematics)Hamiltonian systemCritical pointNonlinear systemHamiltonian systemInfinitely many solutionAnalysisMathematicsMathematical physics

description

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.

yearjournalcountryeditionlanguage
2010-03-01
10.1016/j.jmaa.2009.09.025http://hdl.handle.net/11570/1900563