一类带阻尼项的次二次二阶Hamilton系统的周期解

PERIODIC SOLUTIONS OF A CLASS OF SUBQUADRATIC SECOND ORDER HAMILTONIAN SYSTEMS WITH DAMPED VIBRATION

本文研究了一类带阻尼项的二阶Hamilton系统周期解的存在性问题.利用鞍点定理,在新的次二次条件下,获得了一个新的存在性结果,推广并改进了已有文献的相关存在性结论.

In this paper, we study the problems about existence of periodic solutions for second-order Hamiltonian systems with damped vibration. Via saddle point theorem under a new subquadratic condition, an existence theorem is obtained, which extends and improves previously known results.