| 一平面Hamilton系统的Abel积分零点的个数估计 |
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| 引用本文： | 徐姜,别利坚.一平面Hamilton系统的Abel积分零点的个数估计[J].通化师范学院学报,2011,32(10):1-2. |
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| 作者姓名： | 徐姜 别利坚 |
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| 作者单位： | 通化师范学院数学系,吉林通化,134002 |
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| 基金项目： | 通化师范学院基金项目研究成果 |
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| 摘 要： | 文中讨论了Hamilton系统的Abel积分的代数构造,证明了I（h）可表为两个生成元I0和I2的线性组合.利用Picard-Fuchs方程和广义罗尔定理,得到了Abel积分的零点个数上界为3n＋1 2].
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| 关 键 词： | Hamilton系统 Abel积分 Picard-Fuchs方程 |
Estimation of Number of Zeros of Abel Integrals of a Planar Hamiltonian System |
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| XU Jiang,BIE Li-jian.Estimation of Number of Zeros of Abel Integrals of a Planar Hamiltonian System[J].Journal of Tonghua Teachers College,2011,32(10):1-2. |
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| Authors: | XU Jiang BIE Li-jian |
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| Institution: | XU Jiang,BIE Li-jian (Dept.of Math,Tonghua Normal University,Tonghua,Jilin 134002,China) |
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| Abstract: | This paper studies the algebra construction of Abel integrals of Hamiltonian system and proves I（h） is the linear combination of I0andI2.We obtain that the upper bound of the zero number is 3n＋1/2] by Picard-Fuchs equation and generalized Rolle＇s Theorem. |
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| Keywords: | Hamiltonian system Abel integrals Picard-Fuchs equation |
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