一类具有尖点环的三次Hamilton向量场的Abel积分

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Zhao Yulin. Abelian Integrals for Cubic Hamiltonian System with a Cuspidal Loop[J].Acta mathematica scientia,Series A, 2000, 20(2): 229-234.

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１　ＡｒｎｏｌｄＶ．ＴｅｎＰｒｏｂｌｅｍｓ．ＡｄｖａｎｃｅｉｎＳｏｖｉｅｔＭａｔｈｅｍａｔｉｃｓ，１９９０，１：１－８
２　ＣｈｏｗＳ，ＳａｎｄｅｒｓＪ．Ｏｎｔｈｅｎｕｍｂｅｒｏｆｃｒｉｔｉｃａｌｐｏｉｎｔｓｏｆｐｅｒｉｏｄ．ＪＤｉｆｆＥｑｓ，１９８６，６４：５１－６６
３　ＧａｖｒｉｌｏｖＬ．Ｒｅｍａｒｋｏｎｔｈｅｎｕｍｂｅｒｏｆｃｒｉｔｉｃａｌｐｏｉｎｔｓｏｆｐｅｒｉｏｄ．ＪＤｉｆｆＥｑｓ，１９９３，１０１：５８－６５
４　ＰｅｔｒｏｖＧ．Ｎｕｍｂｅｒｏｆｚｅｒｏｓｏｆｃｏｍｐｌｅｔｅｅｌｌｉｐｔｉｃｉｎｔｅｇｒａｌｓ．ＦｕｎｃｔＡｎａｌＡｐｐｌ，１９８４，１８：７３－７４
５　ＺｈａｏＹｕｌｉｎ，ＺｈａｎｇＺｈｉｆｅｎ．ＡｎｅｓｔｉｍａｔｅｏｆｔｈｅｎｕｍｂｅｒｏｆｚｅｒｏｓｏｆＡｂｅｌｉａｎｉｎｔｅｇｒａｌｓｆｏｒｃｕｂｉｃｖｅｃｔｏｒｆｉｅｌｄｓｗｉｔｈｃｕｓｐｉｄａｌｌｏｏｐ．ＡｎｎｏｆＤｉｆｆＥｑｓ，１９９８，１４（２）：４３４－４４５
６　ＺｈａｏＹｕｌｉｎ，ＺｈａｎｇＺｈｉｆｅｎ．Ａｂｅｌｉａｎｉｎｔｅｇｒａｌｓｆｏｒｃｕｂｉｃｖｅｃｔｏｒｆｉｅｌｄｓ．ＡｎｎＭａｔｅＰｕｒａｅｄＡｐｐｌ，１９９９，犆犔犡犡犞犐（ＩＶ）：２５１－２７２
７　ＺｈａｏＹｕｌｉｎ，ＺｈａｎｇＺｈｉｆｅｎ．ＬｉｎｅａｒｅｓｔｉｍａｔｅｏｆｔｈｅｎｕｍｂｅｒｏｆｚｅｒｏｓｏｆＡｂｅｌｉａｎｉｎｔｅｇｒａｌｓｆｏｒａｋｉｎｄｏｆｑｕａｒｔｉｃＨａｍｉｌｔｏｎｉａｎｓ．ＪＤｉｆｆＥｑｓ，１９９９，１５５：７３－８８

[1]	Pei Minghe Yu Hailan. Existence and Uniqueness of Solutions of Nonlinear Three-Point Boundary Value Problems for Fourth Order Nonlinear Ordinary Differential Equations [J]. Acta mathematica scientia,Series A, 2000, 20(2): 194-201.
[2]	Li Gaoming. Set-Valued Supermartingle Approximation for Set-Valued Superpramart [J]. Acta mathematica scientia,Series A, 2000, 20(2): 158-162.
[3]	Zhou Youming. Solutions of Nonlinear Singular Second Order Differential Equations in Banach Spaces [J]. Acta mathematica scientia,Series A, 2000, 20(2): 181-186.

Abelian Integrals for Cubic Hamiltonian System with a Cuspidal Loop

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