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Takeuchi Shingo  竹内 慎吾

… Alternative Names

TAKEUCHI Shingo  竹内 慎吾

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Researcher Number 00333021
Other IDs
  • ORCIDhttps://orcid.org/0000-0003-3053-468X
Affiliation (Current) 2022: 芝浦工業大学, システム理工学部, 教授
Affiliation (based on the past Project Information) *help 2016 – 2022: 芝浦工業大学, システム理工学部, 教授
2013 – 2015: 芝浦工業大学, システム理工学部, 准教授
2012: 芝浦工業大学, システム工学部, 准教授
2011: 芝浦工業大学, システム理工学部, 准教授
2008 – 2010: Kogakuin University, 工学部, 准教授 … More
2003 – 2005: 工学院大学, 工学部, 専任講師
2003 – 2005: 工学院大学, 工学部, 講師
2001 – 2002: 学習院大学, 理学部, 助手 Less
Review Section/Research Field
Principal Investigator
Global analysis / Global analysis / Mathematical analysis / Basic Section 12020:Mathematical analysis-related
Except Principal Investigator
Global analysis / Global analysis / Basic analysis / Mathematical analysis
Keywords
Principal Investigator
p-Laplacian / 非線形拡散 / 一般化三角関数 / 退化放物型方程式 / 力学系 / 退化 / 解析学 / ヤコビ楕円関数 / 退化特異性 / 一般化楕円積分 … More / pラプラシアン / 一般化双曲線関数 / 加法公式 / 倍角公式 / 力学系理論 / 大域的アトラクター / ギンツブルグ・ランダウ方程式 / 放物型方程式 / アトラクター / 線型化 / 退化楕円型方程式 / flat core / 定常解 / 反応拡散方程式 / 大域アトラクター / 複素ギンツブルグ・ランダウ方程式 / 非線形現象 / 微分方程式 / 自由境界 / 退化性 / 特異性 / 非線形 / 自由境界問題 / 分岐 / 偏微分方程式 / 特異 / 関数方程式論 / 非線形偏微分方程式 / p-Lalacian / pラプラス作用素 / 一般化ヤコビ楕円関数 / 完全楕円積分 / 算術幾何平均 / Legendreの関係式 / 超幾何関数 / 楕円積分 / 退化特異 / 基底 / 特殊関数 / 双対性 / 不等式 / レム二スケート関数 / レッドヘッファー不等式 / リャプノフ不等式 / 非局所境界値問題 / 積分公式 … More
Except Principal Investigator
正値定常解 / 反応拡散方程式 / 非線形拡散 / 非線形現象 / 数理生態学 / 安定性 / 自由境界問題 / 大域解 / cross-diffusion / 反応拡散 / 写像度理論 / 分岐理論 / Lotka-Volterra型競合モデル / 分理論 / 人口モデル / 侵入モデル / 非局所項 / ロジスティック方程式 / 漸近挙動 / 大域的漸近安定性 / 非局所問題 / Lotka-Volterra型 / 大域的存在 / Shigesadaモデル / 分岐 / 解の多重性 / reaction-diffusion equation / nonlinear diffusion / global solution / Lotka-Volterra type / positive stationary solution / Feynman経路積分 / Feynman path integral / 経路積分 / 停留位相法 / Stationary phase method / 量子力学 / Scrodinger方程式 / EKB法 / WKB法 / Statuinary phase method / Scridinger方程式 / Feynman path integrals / Oscillatory integrals / Schrodinger equation / Stationary phase / Selfajoint operator / Quantum mechanics / WKB-method / path integrals / 準線形拡散 / 内部遷移層 / スパイク / 定常解 / prey-pradatorモデル / Morse指数 / prey-predator / reaction-diffusion / quasilinear diffusion / internal transition layer / spike / steady-state solution / stability / prey-predator model / Morse index / 非線形解析 / 発展方程式 / 異常拡散 / 変分法 / 解の漸近挙動 / 偏微分方程式 / 関数解析 Less
  • Research Projects

    (13 results)
  • Research Products

    (108 results)
  • Co-Researchers

    (21 People)
  •  pラプラシアンの固有値問題と関連する楕円積分の研究Principal Investigator

    • Principal Investigator
      竹内 慎吾
    • Project Period (FY)
      2022 – 2026
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Shibaura Institute of Technology
  •  Study on eigenvalue problems of the p-Laplacian and related elliptic integralsPrincipal Investigator

    • Principal Investigator
      竹内 慎吾
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Shibaura Institute of Technology
  •  Research on Evolution Equations Describing Anomalous Diffusion

    • Principal Investigator
      Akagi Goro
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical analysis
    • Research Institution
      Kobe University
  •  Free boundary problems of PDEs with degeneracy-singularityPrincipal Investigator

    • Principal Investigator
      TAKEUCHI Shingo
    • Project Period (FY)
      2012 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Shibaura Institute of Technology
  •  Study on reaction-diffusion equations and related free boundary problems

    • Principal Investigator
      YAMADA Yoshio
    • Project Period (FY)
      2012 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems

    • Principal Investigator
      YAMADA Yoshio
    • Project Period (FY)
      2009 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  Free boundary problems of PDEs with degeneracy-singularity and their applicationsPrincipal Investigator

    • Principal Investigator
      TAKEUCHI Shingo
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Shibaura Institute of Technology
      Kogakuin University
  •  Research on the structure of solutions for nonlinear systems of reaction-diffusion equations

    • Principal Investigator
      YAMADA Yoshio
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  退化放物型方程式の力学系理論Principal Investigator

    • Principal Investigator
      竹内 慎吾
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Kogakuin University
  •  Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations

    • Principal Investigator
      YAMADA Yoshio
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University
  •  退化放物型方程式の力学系理論Principal Investigator

    • Principal Investigator
      竹内 慎吾
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Global analysis
    • Research Institution
      Gakushuin University
  •  Research in Functional Analsys and Mathematical theory of Feynman path integrals

    • Principal Investigator
      FUJIWARA Daisuke
    • Project Period (FY)
      2001 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Gakushuin University
  •  Analysis of nonlinear diffusion equations and related phase transition problems

    • Principal Investigator
      YAMADA Yoshio
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Waseda University

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2005 2004 2003 Other

All Journal Article Presentation

  • [Journal Article] Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p -Laplacian2021

    • Author(s)
      Takeuchi Shingo、Watanabe Kohtaro
    • Journal Title

      Differential and Integral Equations

      Volume: 34 Pages: 383-399

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Redheffer-type inequalities for generalized trigonometric functions2021

    • Author(s)
      Ozawa Shimpei、Takeuchi Shingo
    • Journal Title

      Journal of Inequalities and Special Functions

      Volume: 12 Pages: 16-22

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Remarkable properties of the sinc, functions and related integrals2021

    • Author(s)
      Melkonian Houry、Takeuchi Shingo
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 499 Pages: 124981-124981

    • DOI

      10.1016/j.jmaa.2021.124981

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Some double-angle formulas related to a generalized lemniscate function2021

    • Author(s)
      Takeuchi Shingo
    • Journal Title

      The Ramanujan Journal

      Volume: 56 Pages: 753-761

    • DOI

      10.1007/s11139-021-00395-x

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Applications of a duality between generalized trigonometric and hyperbolic functions2021

    • Author(s)
      Miyakawa Hiroki、Takeuchi Shingo
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 502 Pages: 125241-125241

    • DOI

      10.1016/j.jmaa.2021.125241

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Two double-angle formulas of generalized trigonometric functions2020

    • Author(s)
      Sato Shota、Takeuchi Shingo
    • Journal Title

      Journal of Approximation Theory

      Volume: 250 Pages: 105322-105322

    • DOI

      10.1016/j.jat.2019.105322

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Applications of generalized trigonometric functions with two parameters2019

    • Author(s)
      Kobayashi Hiroyuki、Takeuchi Shingo
    • Journal Title

      Communications on Pure & Applied Analysis

      Volume: 18 Pages: 1509-1521

    • DOI

      10.3934/cpaa.2019072

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Applications of generalized trigonometric functions with two parameters II2019

    • Author(s)
      Takeuchi Shingo
    • Journal Title

      Differential Equations & Applications

      Volume: 11 Pages: 563-575

    • DOI

      10.7153/dea-2019-11-28

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Complete $p$-elliptic integrals and a computation formula of $\pi_p$ for $p=4$2018

    • Author(s)
      Takeuchi Shingo
    • Journal Title

      The Ramanujan Journal

      Volume: 印刷中 Pages: 309-321

    • DOI

      10.1007/s11139-018-9993-y

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Journal Article] Complete (p,q)-elliptic integrals with application to a family of means2017

    • Author(s)
      Toshiki Kamiya and Shingo Takeuchi
    • Journal Title

      Journal of Classical Analysis

      Volume: 10 Pages: 15-25

    • DOI

      10.7153/jca-10-02

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Journal Article] Multiple-angle formulas of generalized trigonometric functions with two parameters2016

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 9 Pages: 1000-1014

    • DOI

      10.7153/jca-09-04

    • Peer Reviewed / Acknowledgement Compliant / Open Access
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Journal Article] A new form of the generalized complete elliptic integrals2016

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      KMJ

      Volume: 39 Issue: 1 Pages: 202-206

    • DOI

      10.2996/kmj/1458651700

    • NAID

      130005475868

    • ISSN
      0386-5991, 1881-5472
    • Language
      English
    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Journal Article] The basis property of generalized Jacobian elliptic functions2014

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Communications on Pure and Applied Analysis

      Volume: 13 Pages: 2675-2692

    • DOI

      10.3934/cpaa.2014.13.2675

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Journal Article] Generalized Jacobian elliptic functions2013

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      RIMS kokyuroku

      Volume: 1838 Pages: 71-101

    • Data Source
      KAKENHI-PROJECT-24540218
  • [Journal Article] Generalized Jacobian elliptic functions2013

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 未定

    • Data Source
      KAKENHI-PROJECT-24540218
  • [Journal Article] Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian2012

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      J. Math. Anal. Appl.

      Volume: Vol.385 No.1 Pages: 24-35

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540229
  • [Journal Article] Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian2012

    • Author(s)
      S.Takeuchi
    • Journal Title

      J.Math.Anal.Appl.

      Volume: 385 Pages: 24-35

    • DOI

      10.1016/j.jmaa.2011.06.063

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Generalized Jacobian elliptic functions and their application to bifurcation problems associated with p-Laplacian2012

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 24-35 Pages: 385-385

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence sets in quasilinear elliptic problems of monotone type2011

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Journal of Differential Equations

      Volume: 2196-2208 Pages: 251-251

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence sets in quasilinear elliptic problems of monostable type2011

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      J. Differential Equations

      Volume: Vol.251 No.8 Pages: 2196-2208

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21540229
  • [Journal Article] Coincidence sets in quasilinear elliptic problems of monostable type2011

    • Author(s)
      S.Takeuchi
    • Journal Title

      J.Differential Equations

      Volume: 251 Pages: 2196-2208

    • DOI

      10.1016/j.jde.2011.07.002

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] 双安定反応拡散方程式の力学系(特別講演)2010

    • Author(s)
      竹内慎吾
    • Journal Title

      第32回発展方程式若手セミナー報告集

      Volume: 1-15 Pages: 32-32

    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] 双安定反応拡散方程式の力学系2010

    • Author(s)
      竹内慎吾
    • Journal Title

      発展方程式若手セミナー報告集 32

      Pages: 1-15

    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] 双安定反応拡散方程式の力学系2010

    • Author(s)
      竹内慎吾
    • Journal Title

      発展方程式若手セミナー報告集

      Volume: 32 Pages: 1-15

    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence sets in quasilinear problems of logistic type2009

    • Author(s)
      竹内慎吾
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 85-103 Pages: 1640-1640

    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence set associated with second order ordinary differential equations of logistic type2009

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Differential and Integral Equations

      Volume: 587-600 Pages: 22-22

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence set associated with second order ordinary differential equations of logistic type2009

    • Author(s)
      S. Takeuchi
    • Journal Title

      Differential and Integral Equations 22

      Pages: 587-600

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence sets in quasilinear problems of logistic type2009

    • Author(s)
      竹内慎吾
    • Journal Title

      京都大学数理解析研究所講究録 1640

      Pages: 85-103

    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence set associated with second order ordinary differential equations of logistic type2009

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Differential and Integral Equations 22

      Pages: 587-600

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Journal Article] Coincidence sets in semilinear elliptic problems of logistic type2007

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Differential Integral Equations Vol.20

      Pages: 1075-1080

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540223
  • [Journal Article] Coincidence sets in semilinear elliptic problems of logistic type2007

    • Author(s)
      Shingo Takeuchi
    • Journal Title

      Differential Integral Equations 20巻

      Pages: 1075-1080

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540223
  • [Journal Article] Stationary profiles of degenerate problems with inhomogeneous saturation values2005

    • Author(s)
      S.Takeuchi
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications 63

      Pages: 1009-1016

    • Data Source
      KAKENHI-PROJECT-15740110
  • [Journal Article] Complex Ginzburg-Landau type equations with nonlinear Laplacian2004

    • Author(s)
      S.Takeuchi, H.Asakawa, T.Yokota
    • Journal Title

      Nonlinear Partial Differential Equations and Their Applications (GAKUTO International Series) 20

      Pages: 315-332

    • Data Source
      KAKENHI-PROJECT-15740110
  • [Journal Article] Global attractor for a class of degenerate diffusion equations2003

    • Author(s)
      竹内慎吾, 横田智巳
    • Journal Title

      Electron Journal of Differential Equations 2003,76号

      Pages: 1-13

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540216
  • [Journal Article] Global attractors for a class of degenerate diffusion equations2003

    • Author(s)
      Shingo Takeuchi, Tomomi Yokota
    • Journal Title

      Electron Journal of Differential Equations No.76

      Pages: 1-13

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540216
  • [Journal Article] Stationary profiles of degenerate problems with inhomogeneous saturation values

    • Author(s)
      S.Takeuchi
    • Journal Title

      Nonlinear Analysis, Theory, Methods & Applications

    • Data Source
      KAKENHI-PROJECT-15740110
  • [Journal Article] Coincidence sets in quasilinear problems of logistic type

    • Author(s)
      竹内慎吾
    • Journal Title

      京都大学数理解析研究所講究録に掲載予定

    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] Lyapunov-type inequalities for a Sturm-Liouville problem of the one-dimensional p -Laplacian2021

    • Author(s)
      竹内慎吾, 渡辺宏太郎
    • Organizer
      RIMS共同研究(グループ型)「非線形問題への常微分方程式の手法によるアプローチ」, 於京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 1次元 p-Laplacian の固有関数がもつ双対性とその応用2021

    • Author(s)
      宮川 裕樹, 竹内 慎吾
    • Organizer
      RIMS共同研究(公開型)「発展方程式の広がり:理論的基礎から実践的応用まで」
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 一般化三角・双曲線関数の双対性とその応用2021

    • Author(s)
      宮川 裕樹, 竹内 慎吾
    • Organizer
      オンラインによる微分方程式セミナー(通算第43回)
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] Exact solutions and asymmetry for a nonlocal boundary value problem2019

    • Author(s)
      竹内 慎吾
    • Organizer
      RIMS共同研究(グループ型)「微分方程式の手法による非線形問題の探求」
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] Exact solutions and asymmetry for a nonlocal boundary value problem2019

    • Author(s)
      竹内 慎吾
    • Organizer
      第11回名古屋微分方程式研究集
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] ある非局所境界値問題の厳密解と非対称性2019

    • Author(s)
      竹内 慎吾
    • Organizer
      日本数学会年会
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] L^q-Lyapunov inequality for the one-dimensional p-Laplacian2019

    • Author(s)
      竹内 慎吾
    • Organizer
      東北大学応用数理解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 一般化三角関数に対する Redheffer 型不等式2019

    • Author(s)
      小沢 新平, 竹内 慎吾
    • Organizer
      第6回ODE若手セミナー
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 1次元 p-Laplacian の固有関数の2倍角公式2019

    • Author(s)
      竹内 慎吾
    • Organizer
      愛媛大学における微分方程式セミナー(通算第42回)
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] Generalization of the trigonometric functions2018

    • Author(s)
      S. Takeuchi
    • Organizer
      The 2nd SIT-UOG workshop on pure/applied mathematics and computer science
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] Applications of generalized trigonometric functions to nonlocal boundary value problems2018

    • Author(s)
      竹内 慎吾
    • Organizer
      RIMS共同研究(グループ型)「非線形問題への常微分方程式の手法によるアプローチ」, 於京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] Integral formulas of generalized trigonometric functions with two parameters2018

    • Author(s)
      H. Kobayashi, S. Takeuchi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS2018)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] Applications of generalized trigonometric functions to nonlocal boundary value problems2018

    • Author(s)
      S. Takeuchi
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS2018)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] ある1次元非局所境界値問題の厳密解と非対称性2018

    • Author(s)
      竹内 慎吾
    • Organizer
      第48回南大阪応用数学セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] $L^q$-Lyapunov inequality for the one-dimensional $p$-Laplacian2018

    • Author(s)
      竹内 慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 不完全楕円積分に関するルジャンドルの関係式とその一般化2018

    • Author(s)
      竹内 慎吾
    • Organizer
      第19回半田山微分方程式セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 一般化三角関数の非局所境界値問題への応用2018

    • Author(s)
      竹内 慎吾
    • Organizer
      日本数学会年会, 於東京大学
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] $L^q$-Lyapunov inequality for the one-dimensional $p$-Laplacian2018

    • Author(s)
      竹内 慎吾
    • Organizer
      芝浦工業大学における微分方程式セミナー(通算第41回)
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] $p$-Laplacian の固有関数による完全楕円積分の一般化2018

    • Author(s)
      竹内 慎吾
    • Organizer
      Nonlinear Evolutionary PDEs and their Equilibrium States II
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 1次元$p$ラプラシアンの固有関数に関する数論的性質2018

    • Author(s)
      竹内 慎吾
    • Organizer
      第1回「解析学とその周辺」@野田
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 一般化正接関数の倍角公式2018

    • Author(s)
      佐藤 翔太, 竹内 慎吾
    • Organizer
      第5回ODE若手セミナー
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 1次元pラプラシアンの固有関数に関する数論的性質2017

    • Author(s)
      竹内慎吾
    • Organizer
      九州関数方程式セミナー
    • Place of Presentation
      福岡大学
    • Year and Date
      2017-01-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] ヒット現象に現れるリッカチ型方程式の厳密解2017

    • Author(s)
      福田 陸斗, 竹内 慎吾
    • Organizer
      第4回ODE若手セミナー, 於大阪府立大学
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] Legendre's relation for incomplete elliptic integrals and its generalization2017

    • Author(s)
      Shingo Takeuchi
    • Organizer
      Workshop on Geometric Function Theory and Special Functions II, Tohoku University, Sendai, Japan
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05336
  • [Presentation] 一般化三角関数に対する積分公式2017

    • Author(s)
      小林佑行、竹内慎吾
    • Organizer
      微分方程式論ワークショップ岐阜2017
    • Place of Presentation
      岐阜大学
    • Year and Date
      2017-03-09
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Generalized trigonometric functions: multiple-angle formulas and an application to Elliott's identity2016

    • Author(s)
      Shingo Takeuchi
    • Organizer
      Workshop on Geometric Function Theory and Special Functions
    • Place of Presentation
      Tohoku University
    • Year and Date
      2016-08-26
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Arithmetic properties of eigenfunctions of the one-dimensional p-Laplacian2016

    • Author(s)
      Shingo Takeuchi
    • Organizer
      Qualitative Theory of Ordinary Differential Equations and Related Areas
    • Place of Presentation
      RIMS
    • Year and Date
      2016-11-17
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Arithmetic properties of eigenfunctions of the one-dimensional p-Laplacian2016

    • Author(s)
      Shingo Takeuchi
    • Organizer
      International Workshop on Nonlinear PDEs 2016 in Osaka
    • Place of Presentation
      Osaka Prefecture University
    • Year and Date
      2016-12-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 未定2016

    • Author(s)
      竹内慎吾
    • Organizer
      常微分方程式の定性的理論ワークショップ
    • Place of Presentation
      島根大学
    • Year and Date
      2016-09-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 一般化三角関数の倍角公式と p-Laplacian への応用2016

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会年会
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-03-16
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 一般化三角関数に対する積分公式2016

    • Author(s)
      小林佑行、竹内慎吾
    • Organizer
      第3回ODE若手セミナー
    • Place of Presentation
      岡山理科大学
    • Year and Date
      2016-12-15
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Application of generalized trigonometric functions to Elliott's identity2016

    • Author(s)
      竹内慎吾
    • Organizer
      常微分方程式の定性的理論ワークショップ
    • Place of Presentation
      島根大学
    • Year and Date
      2016-09-22
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 一般化三角関数に対するMitrinovic-Adamovic不等式2016

    • Author(s)
      大場孝則、竹内慎吾
    • Organizer
      第3回ODE若手セミナー
    • Place of Presentation
      岡山理科大学
    • Year and Date
      2016-12-15
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Multiple-angle formulas of generalized trigonometric functions with two parameters2016

    • Author(s)
      Shingo Takeuchi
    • Organizer
      The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications
    • Place of Presentation
      Orlando, Florida, USA
    • Year and Date
      2016-07-01
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Multiple-angle formula of generalized trigonometric functions with two parameters2016

    • Author(s)
      Shingo Takeuchi
    • Organizer
      The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications (AIMS2016)
    • Place of Presentation
      Orlando
    • Year and Date
      2016-07-02
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Multiple-angle formula of generalized trigonometric functions with two parameters2015

    • Author(s)
      Shingo Takeuchi
    • Organizer
      3rd Chile-Japan Workshop on Nonlinear PDEs
    • Place of Presentation
      Osaka University
    • Year and Date
      2015-12-09
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 完全(p,q)楕円積分とBhatia-Li平均への応用2015

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      京都産業大学
    • Year and Date
      2015-09-13
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Means and generalized trigonometric functions2015

    • Author(s)
      Shingo Takeuchi
    • Organizer
      Nonlinear PDE Workshop at Tohoku University
    • Place of Presentation
      Tohoku University
    • Year and Date
      2015-09-24
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] Applications of generalized trigonometric functions to means2015

    • Author(s)
      竹内慎吾
    • Organizer
      第133回神楽坂解析セミナー
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-06-27
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 一般化三角関数の倍角公式とある種のp単振り子方程式2015

    • Author(s)
      竹内慎吾
    • Organizer
      第38回名古屋大学における微分方程式セミナー
    • Place of Presentation
      名古屋大学
    • Year and Date
      2015-09-08
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 1次元p-Laplacianの固有関数による完全楕円積分の一般化とその関係式について2015

    • Author(s)
      神谷隼基、竹内慎吾
    • Organizer
      第41回発展方程式研究会
    • Place of Presentation
      日本女子大学
    • Year and Date
      2015-12-25
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 完全p楕円積分と$\pi_3$の計算公式2014

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      広島大学
    • Year and Date
      2014-09-25
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 完全p楕円積分と$\pi_3$の計算公式2014

    • Author(s)
      竹内慎吾
    • Organizer
      第37回熊本大学における微分方程式セミナー
    • Place of Presentation
      熊本大学
    • Year and Date
      2014-09-09
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] The basis property of generalized Jacobian elliptic functions2014

    • Author(s)
      Shingo Takeuchi
    • Organizer
      The 10th AIMS International Conference on Dynamical Systems and Differential Equations and Applications (AIMS2014)
    • Place of Presentation
      Madrid, SPAIN
    • Year and Date
      2014-07-08
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] The basis property of generalized Jacobian elliptic functions2014

    • Author(s)
      Shingo Takeuchi
    • Organizer
      AIMS2014
    • Place of Presentation
      Madrid, Spain
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 一般化ヤコビ楕円関数とその応用2012

    • Author(s)
      竹内慎吾
    • Organizer
      第100回神楽坂解析セミナー
    • Place of Presentation
      東京理科大学
    • Year and Date
      2012-01-28
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] Generalized Jacobian elliptic functions with applications to p-Laplacian bistable problems2012

    • Author(s)
      Shingo Takeuchi
    • Organizer
      研究集会「常微分方程式の大域的定性理論とその応用」
    • Place of Presentation
      京都大学数理解析研究所
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] On a generalized Jacobian elliptic function associated with p-Laplacian2012

    • Author(s)
      Shingo Takeuchi
    • Organizer
      The 9th AIMS International Conference on Dynamical Systems and Differential Equations and Applications (AIMS2012)
    • Place of Presentation
      Orlando, Florida, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] ヤコビの楕円関数の一般化とp-Laplacianの分岐問題への応用2011

    • Author(s)
      竹内慎吾
    • Organizer
      松山解析セミナー2011
    • Place of Presentation
      愛媛大学
    • Year and Date
      2011-02-04
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] A generalized Jacobian elliptic functions and its application to p-Laplacian bifurcation problems2011

    • Author(s)
      Shingo Takeuchi
    • Organizer
      2011 International Workshop on NLPDE and Applications
    • Place of Presentation
      Pusan National University
    • Year and Date
      2011-06-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] A generalized Jacobian elliptic functions and its application to p-Laplacian bifurcation problems2011

    • Author(s)
      S.Takeuchi
    • Organizer
      2011 International Workshop on Nonlinear PDE and Applications
    • Place of Presentation
      Pusan National University
    • Year and Date
      2011-06-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] 双安定反応拡散方程式の力学系2010

    • Author(s)
      竹内慎吾
    • Organizer
      第32回発展方程式若手セミナー
    • Place of Presentation
      伊豆長岡「えふでの宿」
    • Year and Date
      2010-08-29
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] Generalized elliptic functions and their application to a p-Laplacian bifurcation problem2010

    • Author(s)
      竹内慎吾
    • Organizer
      広島微分方程式研究会
    • Place of Presentation
      広島大学
    • Year and Date
      2010-10-09
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] ヤコビの楕円関数の一般化と非線形固有値問題への応用2010

    • Author(s)
      竹内慎吾
    • Organizer
      第4回非線型偏微分方程式と変分問題
    • Place of Presentation
      首都大学東京
    • Year and Date
      2010-02-14
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] ヤコビの楕円関数の一般化とp-Laplacianの分岐問題への応用2010

    • Author(s)
      竹内慎吾
    • Organizer
      第10回盛岡応用数学小研究集会
    • Place of Presentation
      岩手大学
    • Year and Date
      2010-11-07
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] 双安定反応拡散方程式の力学系(特別講演)2010

    • Author(s)
      竹内慎吾
    • Organizer
      第32回発展方程式若手セミナー
    • Place of Presentation
      伊豆長岡
    • Year and Date
      2010-08-29
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] ヤコビの楕円関数の一般化と双安定準線形方程式への応用2010

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会年会
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2010-03-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] 準線形楕円型方程式の境界値問題に現れる一致集合2010

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] 双安定反応拡散方程式の力学系2010

    • Author(s)
      竹内慎吾
    • Organizer
      第32回発展方程式若手セミナー
    • Place of Presentation
      伊豆長岡(特別講演)
    • Year and Date
      2010-08-29
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] p-Laplacianの自由境界問題(函数方程式論分科会特別講演)2009

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] p-Laplacian の自由境界問題2009

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学(特別講演)
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] p-Laplacianの自由境界問題(特別講演)2009

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] Coincidence sets in quasilinear problems of logistic type2008

    • Author(s)
      S. Takeuchi
    • Organizer
      仙台楕円型・放物型微分方程式研究集会
    • Place of Presentation
      東北大学
    • Year and Date
      2008-11-18
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] 準線形常微分方程式に対する一致集合2008

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] Coincidence sets in quasilinear problems of logistic type2008

    • Author(s)
      竹内慎吾
    • Organizer
      非線形発展方程式と現象の数理
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-18
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] On the singular perturbation in a quasilinear Dirichlet problem2008

    • Author(s)
      竹内慎吾
    • Organizer
      第6回浜松偏微分方程式研究集会
    • Place of Presentation
      静岡大学
    • Year and Date
      2008-12-23
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] Coincidence sets in quasilinear problems of logistic type2008

    • Author(s)
      Shingo Takeuchi
    • Organizer
      Sendai Elliptic-Parabolic PDEs Conference
    • Place of Presentation
      東北大学
    • Year and Date
      2008-11-08
    • Data Source
      KAKENHI-PROJECT-20740094
  • [Presentation] TBA

    • Author(s)
      Shingo Takeuchi
    • Organizer
      Workshop (with Professor Lindqvist)
    • Place of Presentation
      Tohoku University
    • Year and Date
      2015-09-24 – 2015-09-25
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 一般化ヤコビ楕円関数系に関する基底の問題

    • Author(s)
      竹内慎吾
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] 一般化ヤコビ楕円関数とp-ラプラシアン

    • Author(s)
      竹内慎吾
    • Organizer
      第6回なかもず解析セミナー
    • Place of Presentation
      大阪府立大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • [Presentation] TBA

    • Author(s)
      Shingo Takeuchi
    • Organizer
      3rd Chile-Japan Workshop on Nonlinear PDEs
    • Place of Presentation
      Osaka University
    • Year and Date
      2015-12-08 – 2015-12-11
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540218
  • 1.  OTANI Mitsuharu (30119656)
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  • 2.  TANAKA Kazunaga (20188288)
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  • 12.  KATASE Kiyoshi (70080489)
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  • 14.  KURODA Shigetoshi (20011463)
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  • 15.  WATANABE Kazuo (90260851)
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  • 16.  Akagi Goro (60360202)
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  • 17.  Shirakawa Ken (50349809)
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  • 18.  Ueda Yoshihiro (50534856)
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  • 19.  Ishiwata Tetsuya (50334917)
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  • 20.  菱田 俊明 (60257243)
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  • 21.  KANEKO Yuki
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