Takeuchi Shingo 竹内慎吾

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TAKEUCHI Shingo 竹内慎吾

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Researcher Number	00333021
Other IDs	https://orcid.org/0000-0003-3053-468X
Affiliation (Current)	2024: 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 / Basic Section 12020:Mathematical analysis-related / Mathematical analysis / Global analysis Except Principal Investigator Global analysis / Mathematical analysis / Basic analysis / Global analysis
Keywords	Principal Investigator p-Laplacian / 一般化三角関数 / 一般化ヤコビ楕円関数 / 非線形拡散 / 加法公式 / 倍角公式 / 一般化双曲線関数 / ｐラプラシアン / 一般化楕円積分 / 退化特異性 … More / ヤコビ楕円関数 / 解析学 / 退化 / 力学系 / 退化放物型方程式 / ウォリス型積分公式 / 積分公式 / 非局所境界値問題 / リャプノフ不等式 / レッドヘッファー不等式 / レム二スケート関数 / 不等式 / 双対性 / 一般化完全楕円積分 / 固有値問題 / 特殊関数 / 基底 / 退化特異 / 楕円積分 / 超幾何関数 / Legendreの関係式 / 算術幾何平均 / 完全楕円積分 / pラプラス作用素 / p-Lalacian / 非線形偏微分方程式 / 関数方程式論 / 特異 / 偏微分方程式 / 分岐 / 自由境界問題 / 非線形 / 特異性 / 退化性 / 自由境界 / 微分方程式 / 非線形現象 / 複素ギンツブルグ・ランダウ方程式 / 大域アトラクター / 反応拡散方程式 / 定常解 / flat core / 退化楕円型方程式 / 線型化 / アトラクター / 放物型方程式 / ギンツブルグ・ランダウ方程式 / 大域的アトラクター / 力学系理論 … More Except Principal Investigator 正値定常解 / 非線形拡散 / 反応拡散方程式 / 数理生態学 / 非線形現象 / 反応拡散 / cross-diffusion / 大域解 / 自由境界問題 / 安定性 / 関数解析 / 偏微分方程式 / 解の漸近挙動 / 変分法 / 異常拡散 / 発展方程式 / 非線形解析 / Morse index / prey-predator model / stability / steady-state solution / spike / internal transition layer / quasilinear diffusion / reaction-diffusion / prey-predator / Morse指数 / prey-pradatorモデル / 定常解 / スパイク / 内部遷移層 / 準線形拡散 / path integrals / WKB-method / Quantum mechanics / Selfajoint operator / Stationary phase / Schrodinger equation / Oscillatory integrals / Feynman path integrals / Scridinger方程式 / Statuinary phase method / WKB法 / EKB法 / Scrodinger方程式 / 量子力学 / Stationary phase method / 停留位相法 / 経路積分 / Feynman path integral / Feynman経路積分 / positive stationary solution / Lotka-Volterra type / global solution / nonlinear diffusion / reaction-diffusion equation / 解の多重性 / 分岐 / Shigesadaモデル / 大域的存在 / Lotka-Volterra型 / 非局所問題 / 大域的漸近安定性 / 漸近挙動 / ロジスティック方程式 / 非局所項 / 侵入モデル / 人口モデル / 分理論 / Lotka-Volterra型競合モデル / 分岐理論 / 写像度理論 Less

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
  
  Takeuchi Shingo
- 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

[Journal Article] 一般化シンク関数とノルムの漸近展開2023
- Author(s)
  Houry Melkonian、竹内慎吾
- Journal Title
  
  京都大学数理解析研究所講究録
  
  Volume: 2244 Pages: 21-34
- Open Access / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-22K03392
[Journal Article] Applications of a duality between generalized trigonometric and hyperbolic functions II2022
- Author(s)
  Miyakawa Hiroki、Takeuchi Shingo
- Journal Title
  
  Journal of Mathematical Inequalities
  
  Volume: 16 Issue: 4 Pages: 1571-1585
- DOI
  10.7153/jmi-2022-16-102
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03392
[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 Issue: 1 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 Issue: 2 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 Issue: 1 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 Issue: 3 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 Issue: 4 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 Issue: 2 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 Issue: 1 Pages: 15-25
- DOI
  10.7153/jca-10-02
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24540218
[Journal Article] Legendre-type relations for generalized complete elliptic integrals2016
- Author(s)
  Shingo Takeuchi
- Journal Title
  
  Journal of Classical Analysis
  
  Volume: 9 Issue: 1 Pages: 35-42
- 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
  
  Kodai Mathematical Journal
  
  Volume: 39 Issue: 1 Pages: 202-226
- 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 Issue: 6 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 Issue: 1 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 Issue: 8 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] 一般化シンク関数とノルムの漸近展開2023
- Author(s)
  Houry Melkonian、竹内慎吾
- Organizer
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-22K03392
[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)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. TANAKA Kazunaga (20188288)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. NAKASHIMA Kimie (10318800)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. YAMADA Yoshio (20111825)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
5. KUTO Kousuke (40386602)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
6. WAKASA Tohru (20454069)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. OHYA Hirokazu (70409647)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. SATO Norihiro (80454023)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. HIROSE Munemitsu (50287984)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. OEDA Kazuhiro (70580364)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. FUJIWARA Daisuke (10011561)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. KATASE Kiyoshi (70080489)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. MIZUTANI Akira (80011716)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. KURODA Shigetoshi (20011463)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. WATANABE Kazuo (90260851)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. Akagi Goro (60360202)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. Shirakawa Ken (50349809)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. Ueda Yoshihiro (50534856)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. Ishiwata Tetsuya (50334917)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 菱田俊明 (60257243)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. KANEKO Yuki

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Takeuchi Shingo 竹内 慎吾

TAKEUCHI Shingo 竹内 慎吾

Research Projects

Research Products

Co-Researchers

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

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Study on eigenvalue problems of the p-Laplacian and related elliptic integralsPrincipal Investigator

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Research on Evolution Equations Describing Anomalous Diffusion

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Free boundary problems of PDEs with degeneracy-singularityPrincipal Investigator

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Study on reaction-diffusion equations and related free boundary problems

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Analysis of Reaction-Diffusion Systems and Related Nonlinear Problems

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Free boundary problems of PDEs with degeneracy-singularity and their applicationsPrincipal Investigator

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Research on the structure of solutions for nonlinear systems of reaction-diffusion equations

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退化放物型方程式の力学系理論Principal Investigator

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Research of System of Nonlinear Diffusion Equations and Related Elliptic Differential Equations

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退化放物型方程式の力学系理論Principal Investigator

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Research Field

Research Institution

Research in Functional Analsys and Mathematical theory of Feynman path integrals

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Analysis of nonlinear diffusion equations and related phase transition problems

Principal Investigator

Project Period (FY)

Takeuchi Shingo 竹内慎吾

TAKEUCHI Shingo 竹内慎吾