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arXiv · 0908.0031

Brake subharmonic solutions of first order Hamiltonian systems

Chong Li·Chungen Liu
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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.

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Chong Li, Chungen Liu. 2009-08-01. Brake subharmonic solutions of first order Hamiltonian systems. https://doi.org/10.1007/s11425-010-4105-5

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