局部渐近二次条件下带阻尼问题周期解的存在性

Periodic Solutions for a Class of Second Order Hamiltonian Systems with Locally Asymptotically Quadratic Potential

本文研究二阶带阻尼问题周期解的存在性问题.在局部渐近二次条件下,利用临界点理论,获得一些新的存在性结果,推广了已有文献的相关存在性结论.

In this paper, we study the existence of periodic solutions for second-order damped vibration systems under locally asymptotically quadratic condition. Some existence theorems are obtained via critical point theory, which unify and improve some recent theorems in the literature.