二阶非自治Hamilton系统周期解的存在性结论

Conclusion on existence of periondic solution to non-autonomous second-order Hamilton system

讨论了二阶非自治Hamilton系统周期解的存在性问题。给的条件保证了该系统非常值解的存在性,扩展了文献中的结论。主要运用临界点理论中的环绕方法证明在新设的条件下解的存在性。

The problem of the existence of periodic solution to non-autonomous second-order Hamilton system is discussed.The given conditions guarantee the existence of the non-constant solution and the conclusion made in documents is extended.The linking method in critical point theory is applied to prove the existence of solutions under new given conditions.