Author's: Chong Li
Pages: [11] - [26]
Received Date: August 10, 2018
Submitted by: Li Li.
DOI: http://dx.doi.org/10.18642/ijamml_7100121998
In this paper, we mainly use the Galerkin approximation method and the
iteration inequalities of the Maslov type index theory to study the
properties of subharmonic solutions for the Hamiltonian systems
where
is a semipositive symmetric continuous matrix
and
is unbounded. We prove that these Hamiltonian
systems exist subharmonic solutions, and these solutions are pairwise
geometrically distinct under certain conditions.
subharmonic solution, Maslov-type index, Hamiltonian systems.