Brake subharmonic solutions of first order Hamiltonian systems
arXiv:0908.0031 · doi:10.1007/s11425-010-4105-5
Abstract
In this paper, we mainly use the Galerkin approximation method and the iteration inequalities of the $L$-Maslov type index theory to study the properties of brake subharmonic solutions for the first order non-autonomous Hamiltonian systems. We prove that when the positive integers $j$ and $k$ satisfies the certain conditions, there exists a $jT$-periodic nonconstant brake solution $z_{j}$ such that $z_{j}$ and $z_{kj}$ are distinct.
22 pages, published by Science in China