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Study on integrable systems around the Painleve systems

Study on integrable systems around the Painleve systems
围绕 Painleve 系统的可积系统研究
批准号:
20740089
负责人:
SAKAI Hidetaka
金额:
$2.66万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Young Scientists (B)
财政年份:
2008
资助国家:
日本
项目状态:
已结题
起止时间:
2008 至 2011

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项目成果

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中文摘要
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英文摘要
Results which are obtained in the present project are as follows :(1) A study on ordinary differential equations on rational elliptic surfaces,(2) A classification of 4-dimensional Painleve type equations associated with isomonodromic deformation theory of Fuchsian equations(4 types),(3) A classification of 4-dimensional Painleve type equations obtained from unramified linear equations(22 types)(joint work with H. Kawakami and A. Nakamura),(4) q-analog of Katz's middle convolution(joint work with M. Yamaguchi),(5) A description of Schlesinger transformation obtained by using simplectic structure(joint work with A. Dzhamay and T. Takenawa).
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会议论文
モノドロミー保存変形と4次元パンルヴェ型方程式,微分方程式のモノドロミーをめぐる諸問題
保单性变形和 4 维 Painlevé 型方程,与微分方程单性相关的问题
DOI: --
发表时间: 2009
期刊:
影响因子: --
作者: [峯拓矢, 野村祐司, Takuya Mine, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆]
通讯作者: 坂井秀隆
Frontier of isomonodromic deformation theory
等单向变形理论前沿
DOI: --
发表时间: 2011
期刊:
影响因子: --
作者: [峯拓矢, 野村祐司, Takuya Mine, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆, 坂井秀隆]
通讯作者: 坂井秀隆
モノドロミー保存変形と4次元パンルヴェ型方程式
保持单向变形和4维Painlevé型方程
DOI: --
发表时间: 2009
期刊: 京都大学数理解析研究所講究録 1662巻
影响因子: --
作者: [K.Kajiwara, M.Kaneko, A.Nobe, T.Tsuda, T.Masuda, 岩崎克則, 坂井秀隆]
通讯作者: 坂井秀隆
DOI: --
发表时间: 2017
期刊:
影响因子: --
作者: [Sakai, Hidetaka]
通讯作者: Hidetaka
12
    Research of integrable systems around the Painleve equations
    • 批准号:
      15K04894
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.75万
    • 财政年份:
      2015
    • 负责人:
      SAKAI Hidetaka
    • 依托单位:
    Study for therapeutic strategy using the target protein expressionsystem based on protein stabilization/destabilization in the cancertracing mechanism
    • 批准号:
      23659880
    • 项目类别:
      Grant-in-Aid for Challenging Exploratory Research
    • 资助金额:
      $2.33万
    • 财政年份:
      2011
    • 负责人:
      SAKAI Hidetaka
    • 依托单位:
    Functional analysis for molecular interaction through a new member of the immunoglobulin superfamily in tooth germ development
    • 批准号:
      20390466
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $12.31万
    • 财政年份:
      2008
    • 负责人:
      SAKAI Hidetaka
    • 依托单位:
    FUNCTIONAL ANALYSIS OF TOOTH GERM DEVELOPMENT-RELATED GENES
    • 批准号:
      13470384
    • 项目类别:
      Grant-in-Aid for Scientific Research (B)
    • 资助金额:
      $9.15万
    • 财政年份:
      2001
    • 负责人:
      SAKAI Hidetaka
    • 依托单位:
    海外基金