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高阶Painlev方程亚纯解的值分布

Value distribution of meromorplic solutions of the higher order analogues of the Painlev equations
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摘要 综述了高阶第一类和高阶第二类Painlev This is a survey paper on value distribution of meromorplic solutions of the higher order analogues of the first and the second Painlev equations and some open problems are presented.
作者 何育赞
出处 《宁夏大学学报(自然科学版)》 CAS 2003年第3期205-207,共3页 Journal of Ningxia University(Natural Science Edition)
基金 国家自然科学基金资助项目 ( 199710 91)
关键词 高阶Painlevé方程 亚纯解 值分布 常微分方程 复分析 高阶KDV方程 higher order analogue of the Painlev equation meromorplic solution value distribution
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参考文献7

  • 1Hinkkanen A, Laine I. Solutions of the first and second Painlevē equations are meromorplic [ J]. J Analyse Math,1999,79:345. 被引量:1
  • 2Shimomura S. The first, the second and the fourth Painlevē transcendents are of finite order [ J]. Proc Japan Acad Ser,2001,A77:42. 被引量:1
  • 3Stainmetz N. On Painlevē equations Ⅰ, Ⅱ and Ⅳ [ J].J Anal Math,2000,82:363. 被引量:1
  • 4Steinmetz N. Value distribution of the Painlevē transcendents[J]. Israel J Math,2000,128:29. 被引量:1
  • 5Gromak I V. The first higher-order Painlevē equation [ J].Differential Equations, 1999,35:1. 被引量:1
  • 6Li Y Z, He Y Z. On analytic properties of higher order analogue of the second Painlevē equation [J]. J of Math Paysics,2002.43(2): 1 106. 被引量:1
  • 7Groamk I V, He Y Z. On solotions of the second Painlevē equation af higher order [J]. Proceed of Mathl Inat of Belarus National Academy of Sci,2000,4:37. 被引量:1

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