A type of differential system was studied.Some sufficient conditions of the existence and nonexistence of limit cycle were obtained by using Poincare segment without contact,the theories of non-intersect and N.Levinson-O.K.Smith.%文章研究一类微分系统的极限环,利用不相交定理、Poincare切线法与N.Levinson-O.K.Smith定理得出其极限环不存在和存在的充分条件.
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