一类非线性Sturm-Louville问题的周期解

THE PERIODIC SOLUTIONS OF A CLASS OF NONLINEAR STURM─LOUVILLE PROBLEM

讨论了一类非线性Ｓｔｕｒｍ─Ｌｏｕｖｉｌｌｅ问题的周期解的分布情况，给出了周期解存在的一个充分必要条件。

In this pape， we have discussed the distribution situation of the periodic solutions of a class ofnonlinear Sturm-Louville problem and have got a sufficient and necessary condition for the exis-tence of periodic solutions.