次凸条件下一类推广的二阶边值系统周期解的存在性

The Existence for Periodic Solutions of the Generalized Second-order Systems with Subconvex Potential

本文利用临界点定理中的鞍点定理在次凸条件和次二次条件下证明了一类推广的二阶Hamil- ton系统周期解的存在性.

The existence theorems are obtained for periodic solutions of a class of second - order systems with a potential which is a subquadratie and subconvex function by using the saddle point theorem in Critical Point Theory.