ON TWO CONJECTURES OF THE QUADRATIC DIFFERENTIAL SYSTEMS 被引量：2

ON TWO CONJECTURES OF THE QUADRATIC DIFFERENTIAL SYSTEMS

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摘要ＯＮＴＷＯＣＯＮＪＥＣＴＵＲＥＳＯＦＴＨＥＱＵＡＤＲＡＴＩＣＤＩＦＦＥＲＥＮＴＩＡＬＳＹＳＴＥＭＳＺＨＡＮＧＸＩＡＮＧ＊ＡｂｓｔｒａｃｔＭａｎｕｓｃｒｉｐｔｒｅｃｅｉｖｅｄＳｅｐｔｅｍｂｅｒ２９，１９９５．＊ＩｎｓｔｉｔｕｔｅｏｆＭａｔｈｅｍａｔｉｃ... Two conjectures in the qualitative theory of quadratic differential systems are proved under certain conditions.

作者 ZHANG XIANG Institute of Mathematics,Nanjing Normal University,Nanjing 210097,China

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1997年第4期429-434,共6页 数学年刊（B辑英文版）

关键词二次系统微分方程循环极限对偶函数 Quadratic system, Limit cycle, Dulac function

分类号 O175 [理学—基础数学]

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1叶彦谦.ON A CONJECTURE CONCERNING THE NON-EXISTENCE OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Annals of Differential Equations,2000,16(4):391-400. 被引量：6
2谭远顺.Ⅲ类二次系统极限环的惟一性[J].河南师范大学学报（自然科学版）,2005,33(2):10-14. 被引量：4
3张平光.具有二个焦点的二次系统极限环的分布与个数[J].数学学报（中文版）,2001,44(1):37-44. 被引量：7

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1谭远顺 ,罗定军 .（Ⅲ）α=0类二次系统极限环的产生与消失[J].南京大学学报（数学半年刊）,2005,22(1):9-16. 被引量：3
2谭远顺,魏代俊.Ⅲ类二次系统极限环的惟一性定理证明的改进[J].湖北民族学院学报（自然科学版）,2006,24(1):8-12.

二级引证文献3

1谭远顺.Ⅲ类二次系统极限环的惟一性[J].河南师范大学学报（自然科学版）,2005,33(2):10-14. 被引量：4
2谭远顺,罗定军.Ⅲ类二次系统极限环的惟一性(Ⅰ)[J].高校应用数学学报（A辑）,2007,22(2):217-224. 被引量：3
3王非,窦霁虹,张晓丽.一类二次系统的全局结构[J].西北大学学报（自然科学版）,2007,37(6):969-973. 被引量：1

1张祥.BIFURCATION PROBLEM OF CRITICAL POINTSFOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),1997,18(12):0-0.
2HONGXiao-chun.Qualitative analysis of a class of quadratic differential system[J].曲靖师范学院学报,2003,22(6):18-20.
3Xiang ZHANG Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China.On the Limit Cycles of Quadratic Differential Systems[J].Acta Mathematica Sinica,English Series,2002,18(4):803-816.
4索明霞,岳锡亭.THE MAXIMAL NUMBER OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEM = -y + lx^2 + xy, = x(l + ax + by)[J].Annals of Differential Equations,2003,19(3):397-401. 被引量：1
5叶彦谦.ON A CONJECTURE CONCERNING THE NON-EXISTENCE OF LIMIT CYCLES FOR QUADRATIC DIFFERENTIAL SYSTEMS[J].Annals of Differential Equations,2000,16(4):391-400. 被引量：6
6张祥.BIFURCATION OF LIMIT CYCLES FOR THE QUADRATIC DIFFERENTIAL SYSTEM (Ⅲ)l = n = 0[J].Acta Mathematicae Applicatae Sinica,1999,15(4):368-373.
7叶惟寅,叶彦谦.QUALITATIVE THEORY OF THE KUKLES SYSTEMS:(Ⅰ) NUMBER OF CRITICAL POINTS[J].Annals of Differential Equations,2001,17(3):275-286. 被引量：2
8岳锡亭,索明霞.A CLASS OF QUADRATIC DIFFERENTIAL SYSTEM WITH A THIRD ORDER WEAK FOCUS[J].Annals of Differential Equations,2003,19(3):427-430.
9叶彦谦.PHASE-PORTRAIT OF A CERTAIN INTEGRABLE QUADRATIC DIFFERENTIAL SYSTEM WITH CENTER[J].Annals of Differential Equations,2001,17(2):187-190.
10叶彦谦.QUALITIVE THEORY OF THE QUADRATIC DIFFERENTIAL SYSTEMS (I)[J].Annals of Differential Equations,1997,13(4):395-407. 被引量：1

Chinese Annals of Mathematics,Series B

1997年第4期

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ON TWO CONJECTURES OF THE QUADRATIC DIFFERENTIAL SYSTEMS 被引量：2

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