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《JOURNAL OF ANHUI NORMAL UNIVERSITY(NATURAL SCIENCE)》 2000-01
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THE NECESSARY AND SUFFICIENT CONDITIONS OF THE GENERALIZED LIéNARD SYSTEM FOR INTERSECTION OF POSITIVE SEMIORBITS WITH CHARACTERISTIC CURVE

YAN Ping (Department of Mathematics, Anhui Normal University, 241000, Wuhu, Anhui, China)  
In this paper, we obtain some sufficient and necessary conditions of the Liénard system =y-F(x),=-g(x) for intersecton of positive semiorbits with characteristic curve y=F(x) through any point on plane. This result answers the question in Villari and Zanlin's paper [1].
【Fund】: 安徽师范大学青年科学基金资助项目
【CateGory Index】: O175.12
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