柱面上Lienard系统闭轨的存在性与唯一性

ON THE EXISTENCE AND UNIQUENESS OF CLOSEDORBITS FOR LIENARD'S SYSTEM ON THE CYLINDER

本文研究了柱面上Ｌｉｅｎａｒｄ系统非零闭轨和零伦闭轨的存在性与唯一性及不存在性问题，获得了若干新结果，并举例说明了本文的结果可用于动力学及电动力学等一些重要实际问题的讨论中。

Thls paper ls devoted to the studyof the existence and uniqueness and non-existence of closed orbits(which are homotopic to zero or aren′t)for Llenar′s system on the cylinder,Some new,results are obtained,and two examples are given to illustrate that our results are useful to the study of some pratical problems.