【摘要】 本文对著名的Ｐｏｉｎｃａｒｅ－Ｂｅｎｄｉｘｓｏｎ环域定理作了一个推广，去掉了保证解的唯一性的条件．并指出了文［１］的一些不妥之处．更多还原

【Abstract】 The known Poicare-Bendixson theorem was improved,we do away with the condition which correspond with the uniqueness of the solution.On the meanwhile,we point out some mistakes of the reference[1].更多还原