Periodic solutions for a class of second-order Hamiltonian systems
Date
2005-10-21
Authors
Bonanno, Gabriele
Livrea, Roberto
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
Multiplicity results for an eigenvalue second-order Hamiltonian system are investigated. Using suitable critical points arguments, the existence of an exactly determined open interval of positive eigenvalues for which the system admits at least three distinct periodic solutions is established. Moreover, when the energy functional related to the Hamiltonian system is not coercive, an existence result of two distinct periodic solutions is given.
Description
Keywords
Second order Hamiltonian systems, Eigenvalue problem, Periodic solutions, Critical points, Multiple solutions
Citation
Bonanno, G., & Livrea, R. (2005). Periodic solutions for a class of second-order Hamiltonian systems. <i>Electronic Journal of Differential Equations, 2005</i>(115), pp. 1-13.
Rights
Attribution 4.0 International