Brake subharmonic solutions of first order Hamiltonian systems

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

References in corpus (1)

• Iteration theory of $L$-index and Multiplicity of brake orbits