| 一类Hamilton系统的Abel积分比值单调性的判别条件 |
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| 引用本文： | 鞠晶,陈文成.一类Hamilton系统的Abel积分比值单调性的判别条件[J].应用泛函分析学报,2009,11(4):351-355. |
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| 作者姓名： | 鞠晶 陈文成 |
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| 作者单位： | 1. 鲁东大学,数学与信息学院,烟台,264025
2. 山东农业大学数学与信息学院,泰安,271000 |
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| 基金项目： | 鲁东大学创新团队建设项目 |
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| 摘 要： | 用直接计算的方法对一类Hamilton系统的两个Abel积分比值的单调性进行讨论，指出该单词性条件可由两个判定函数直接确定．
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| 关 键 词： | Abel积分 弱Hilbert第16问题 比值 单调性 Hamihon系统 |
A Criterion of the Monotonicity of the Ratio of Two Abelian Integrals in a Class of Hamilton System |
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| JU Jing,CHEN Wen-cheng.A Criterion of the Monotonicity of the Ratio of Two Abelian Integrals in a Class of Hamilton System[J].Acta Analysis Functionalis Applicata,2009,11(4):351-355. |
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| Authors: | JU Jing CHEN Wen-cheng |
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| Institution: | 1. Department of Mathematics and Information Science, Ludong University, Yantai 264025. China ;2. Department of Matkematics and Information Science. Shangdong Agricultural University, Taian 271000, China) |
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| Abstract: | A criterion of the monotonicity of the ratio of two Abelian integrals in a class of Hamilton system is given by two criterion functions defined directly by the functions which appear in the Abelian integrals by straightforward computation. |
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| Keywords: | Abelian integral weakened Hilbert's 16~(th) problem ratio monotonicity Hamilton System |
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