次线性条件下二阶Hamilton系统周期解的存在性

The Existence Theorems of Periodic Solutions for the Second-Order Hamiltonian System under Sub-Linear Condition

本文利用极小作用原理在适当条件下证明了一类二阶Ham ilton系统周期解的存在性,并推广了以往的有关结论.

Under sub--linear condition the existence theorems of periodic solutions for a class of second--order Hamiltonian systems are obtained by the least action principle. The previous results are gereralized.