Ichinobe Kunio 市延邦夫

… Alternative Names

Kunio Ichinobe 市延邦夫

ICHINOBE Kunio 市延邦夫

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Researcher Number	20434417
Affiliation (Current)	2025: 愛知教育大学, 教育学部, 教授
Affiliation (based on the past Project Information) *help	2024: 愛知教育大学, 教育学部, 教授 2015 – 2019: 愛知教育大学, 教育学部, 准教授 2007 – 2008: Kanagawa Institute of Technology, 基礎・教養教育センター, 准教授
Review Section/Research Field	Principal Investigator Basic Section 12010:Basic analysis-related / Basic analysis / Global analysis
Keywords	Principal Investigator 発散級数解 / 漸近解析 / q-差分微分方程式 / 初期値問題 / ボレル総和法 / 発散級数 / 偏微分方程式 / 収束級数解 / 総和法 / 整関数 … More / q超幾何級数 / q差分微分方程式 / k-総和法 / k総和法 / 不確定度 / 常微分方程式系 Less

Research Projects
(3 results)
Research Products
(25 results)

The convergence of the formal solutions and summability of divergent solutions for $q$-difference-differential equations andPrincipal Investigator
- Principal Investigator
  
  市延邦夫
- Project Period (FY)
  2024 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 12010:Basic analysis-related
- Research Institution
  Aichi University of Education
Borel summability of divergent power series solutions to linear partial differential equations with time dependent coefficients and its applicationsPrincipal Investigator
- Principal Investigator
  
  Kunio Ichinobe
- Project Period (FY)
  2015 – 2019
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Aichi University of Education
Borel summability of divergent solutions of differential equations and the structure of its Borel sumPrincipal Investigator
- Principal Investigator
  
  ICHINOBE Kunio
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Global analysis
- Research Institution
  Kanagawa Institute of Technology

All 2019 2018 2017 2016 2015 2009 2008 2007

All Journal Article Presentation

[Journal Article] On k-summability of formal solutions to the Cauchy problems of some linear q-difference-differential equations2019
- Author(s)
  Kunio Ichinobe and Shunya Adachi
- Journal Title
  
  Complex Differential and Difference Equations, De Gruyter
  
  Volume: -
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04898
[Journal Article] Gevrey Asymptotic Solutions to the Cauchy Problem of Some Linear q-Difference-Differential Equations2019
- Author(s)
  Kunio Ichinobe
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: -
- Data Source
  KAKENHI-PROJECT-15K04898
[Journal Article] On the k-summability of formal solutions for a class of higher order partial differential equations with time-dependent coefficients2018
- Author(s)
  Kunio Ichinobe
- Journal Title
  
  Springer Proceedings in Mathematics and Statistics
  
  Volume: 256
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-15K04898
[Journal Article] On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.2017
- Author(s)
  Ichinobe, Kunio
- Journal Title
  
  Trends in Mathematics
  
  Volume: 1 Pages: 351-368
- DOI
  10.1007/978-3-319-52842-7_9
- ISBN
  9783319528410, 9783319528427
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-15K04898
[Journal Article] k-summability of formal solutions for certain partial differential equations and the method of successive approximation2017
- Author(s)
  Ichinobe, Kunio
- Journal Title
  
  RIMS Kokyuroku
  
  Volume: 2020 Pages: 35-49
- Open Access
- Data Source
  KAKENHI-PROJECT-15K04898
[Journal Article] Irregularity for singular system of ordinary differential equations in complex domain2009
- Author(s)
  三宅正武、市延邦夫
- Journal Title
  
  Funkcialaj Ekvacioj 52(2009)
  
  Pages: 53-82
- NAID
  130000140722
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740091
[Journal Article] Irregularity for singular system of ordinary differential equations in complex domain2009
- Author(s)
  K. Ichinobe
- Journal Title
  
  FUNKCIALAJ EKVACIOJ 52
  
  Pages: 53-82
- NAID
  130000140722
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19740091
[Presentation] k-summability of divergent solutions to some linear q-difference-differential equations with entire Cauchy data2019
- Author(s)
  Kunio Ichinobe
- Organizer
  Formal and Analytic Solutions of Functional Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] On k-summability of formal solutions to the Cauchy problem of some linear q-difference-differential equations2018
- Author(s)
  Kunio Ichinobe
- Organizer
  Formal and Analytic Solutions of Partial Differential Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] Characterization of k-summability of formal solutions to some q-difference-differential equations2018
- Author(s)
  Kunio Ichinobe
- Organizer
  Various Problems of Algebraic Analysis -- Microlocal Analysis and Asymptotic Analysis --
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] A necessary condition for k-summability of formal solutions to some linear q-difference-differential equations2018
- Author(s)
  Kunio Ichinobe
- Organizer
  Complex Differential and Difference Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] On the k-summability of divergent solutions of the heat equation with entire function Cauchy data2017
- Author(s)
  Kunio Ichinobe, Masatake Miyake
- Organizer
  複素領域における関数方程式とその周辺
- Place of Presentation
  広島大学理学部（広島県・東広島市）
- Year and Date
  2017-03-06
- Invited
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] Experimental observation on k-summability of divergent solutions of the heat equa- tion with k>12017
- Author(s)
  Kunio Ichinobe, Masatake Miyake
- Organizer
  Microlocal analysis and asymptotic analysis
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] On k-summability of formal solutions for a class of higher order partial differential operators with time dependent coefficients2017
- Author(s)
  Kunio Ichinobe
- Organizer
  Formal and Analytic Solutions of diff. Equations
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] The divergent power series solutions of partial differential equations on the complex domain and its k-summability2016
- Author(s)
  Kunio Ichinobe
- Organizer
  Partial Differential Equations: General Theory and Variational Problems
- Place of Presentation
  フィリピン、セブ
- Year and Date
  2016-01-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] Experimental observation on the k-summability problem of divergent solutions of the heat equation with entire function Cauchy data2016
- Author(s)
  Kunio Ichinobe, Masatake Miyake
- Organizer
  Formal and Analytic Solutions of Partial Differential Equations
- Place of Presentation
  リスボン大学（リスボン・ポルトガル）
- Year and Date
  2016-08-31
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] k-summability of formal solutions for certain partial differential equations and the method of successive approximation2015
- Author(s)
  Kunio Ichinobe
- Organizer
  Algebraic analytic methods in complex partial differential equations
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-12-08
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] k-summability of formal solutions for certain partial differential equations with time dependent polynomial coefficients2015
- Author(s)
  Kunio Ichinobe
- Organizer
  Analytic, Algebraic and Geometric Aspects of Differential Equations
- Place of Presentation
  ベンドレボ数学研究所、ポーランド
- Year and Date
  2015-09-14
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04898
[Presentation] Characterization of Irregularity for singular system of ordinary differential equations in complex domain2008
- Author(s)
  市延邦夫
- Organizer
  Exact WKB Analysis and Microlocal Analysis
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-05-30
- Data Source
  KAKENHI-PROJECT-19740091
[Presentation] Characterization of Irregularity for singular system of ordinary differential equations in complex domain2008
- Author(s)
  市延邦夫
- Organizer
  Formal and Analytic Solutions of Differential Equations
- Place of Presentation
  Banach International Mathematical Center(Poland)
- Year and Date
  2008-08-11
- Data Source
  KAKENHI-PROJECT-19740091
[Presentation] Characterization of Irregularity for singular system of ordinary differential equations in complex domain2008
- Author(s)
  K. Ichinobe
- Organizer
  Formal and Analytic Solutions of Differential Equations
- Place of Presentation
  ポーランド・ポズナニ
- Year and Date
  2008-08-11
- Data Source
  KAKENHI-PROJECT-19740091
[Presentation] Irregularity for singular system of ordinary differential equations in complex domain2008
- Author(s)
  K. Ichinobe
- Organizer
  完全WKB解析と超局所解析
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-05-30
- Data Source
  KAKENHI-PROJECT-19740091
[Presentation] On the characterization of Irregularity for singular system of ordinary differential equations in complex domain2008
- Author(s)
  市延邦夫
- Organizer
  Global Behaviors of Differential Equations-Singularity and Transformation Theory-
- Place of Presentation
  広島大学・理学研究科
- Year and Date
  2008-09-09
- Data Source
  KAKENHI-PROJECT-19740091
[Presentation] On the Characterization of Irregularity for Singular System of Ordinary Differential Equations in Complex Domain2008
- Author(s)
  K. Ichinobe
- Organizer
  International Workshop on Global Behaviors of Differential Equations
- Place of Presentation
  広島大学理学研究科
- Year and Date
  2008-09-09
- Data Source
  KAKENHI-PROJECT-19740091
[Presentation] Decomposition of Solutions of the Cauchy problem for a Quasi Homogeneous Partial Differential Operator with Constant Coefficients2007
- Author(s)
  市延邦夫
- Organizer
  ドイツ、ウルム大学・トゥリエール大学合同研究集会
- Place of Presentation
  イタリア・コルフォスコ
- Year and Date
  2007-09-10
- Data Source
  KAKENHI-PROJECT-19740091

Ichinobe Kunio 市延 邦夫

Kunio Ichinobe 市延 邦夫

ICHINOBE Kunio 市延 邦夫

Research Projects

Research Products

The convergence of the formal solutions and summability of divergent solutions for $q$-difference-differential equations andPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Borel summability of divergent power series solutions to linear partial differential equations with time dependent coefficients and its applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Borel summability of divergent solutions of differential equations and the structure of its Borel sumPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] On k-summability of formal solutions to the Cauchy problems of some linear q-difference-differential equations2019

Author(s)

Journal Title

Data Source

[Journal Article] Gevrey Asymptotic Solutions to the Cauchy Problem of Some Linear q-Difference-Differential Equations2019

Author(s)

Journal Title

Data Source

[Journal Article] On the k-summability of formal solutions for a class of higher order partial differential equations with time-dependent coefficients2018

Author(s)

Journal Title

Data Source

[Journal Article] On k-summability of formal solutions for certain higher order partial differential operators with polynomial coefficients.2017

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] k-summability of formal solutions for certain partial differential equations and the method of successive approximation2017

Author(s)

Journal Title

Data Source

[Journal Article] Irregularity for singular system of ordinary differential equations in complex domain2009

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Irregularity for singular system of ordinary differential equations in complex domain2009

Author(s)

Journal Title

NAID

Data Source

[Presentation] k-summability of divergent solutions to some linear q-difference-differential equations with entire Cauchy data2019

Author(s)

Organizer

Data Source

[Presentation] On k-summability of formal solutions to the Cauchy problem of some linear q-difference-differential equations2018

Author(s)

Organizer

Data Source

[Presentation] Characterization of k-summability of formal solutions to some q-difference-differential equations2018

Author(s)

Organizer

Data Source

[Presentation] A necessary condition for k-summability of formal solutions to some linear q-difference-differential equations2018

Author(s)

Organizer

Data Source

[Presentation] On the k-summability of divergent solutions of the heat equation with entire function Cauchy data2017

Author(s)

Organizer

Place of Presentation

Year and Date

Data Source

[Presentation] Experimental observation on k-summability of divergent solutions of the heat equa- tion with k>12017

Author(s)

Organizer

Ichinobe Kunio 市延邦夫

Kunio Ichinobe 市延邦夫

ICHINOBE Kunio 市延邦夫