Kato Nobuyuki 蚊戸宣幸

… Alternative Names

KATO Nobuyuki 蚊戸宣幸

蚊戸宣幸カトノブユキ

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Researcher Number	40177423
Other IDs
External Links
Affiliation (Current)	2023: 金沢大学, 電子情報通信学系, 教授
Affiliation (based on the past Project Information) *help	2018 – 2021: 金沢大学, 電子情報通信学系, 教授 2014 – 2017: 金沢大学, 電子情報学系, 教授 2013: 島根大学, 総合理工学研究科(研究院), 教授 2008: Shimane University, 総合理工学部, 教授 2007: Shimane University, 総合理工学部, 准教授 … More 2006: 島根大学, 総合理工学部, 助教授 2001 – 2004: 島根大学, 総合理工学部, 助教授 1998 – 1999: 島根大学, 総合理工学部, 助教授 1995 – 1996: 島根大学, 総合理工学部, 助教授 1993 – 1994: 島根大学, 理学部, 講師 1990: 島根大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Basic analysis / Basic analysis Except Principal Investigator 解析学
Keywords	Principal Investigator 個体数変動 / サイズ依存 / 筋収縮 / 非局所条件 / 発展方程式 / 個体数変動モデル / population dynamics / muscle contraction / nonlocal / 固体数変動 … More / 最適制御 / 抽象偏微分方程式 / サイズ / 収穫問題 / 解析学 / 最適制御問題 / 線形化安定性 / 測度値制御 / 測度値最適制御 / transport equation / time dependent / harvesting / size structured / 非局所非線形成長率 / 輸送方程式 / 時間依存 / Muscle contraction / Transport equations / Size-dependent / Population models / Nonlocal nonlinear / 定常解 / 漸近挙動 / 筋収縮モデル / 輸送方程式系 / 非局所非線形 / size-dependent / evolution equation / 拡散 / 個体数モデル / 最大原理 / 最適収穫問題 / 非線形成長率 … More Except Principal Investigator 無限ネットワーク / サンドイッチ定理 / 離散等周不等式 / ディリクレポテンシャル / ポテンシャル / ネットワーク / 境界挙動 / Hausdorff測度 / Martin境界 / 容量 / 優調和関数 / 調和関数 / 双対定理 / 可算輸送問題 / 極値的長さ / 再生核 / ランダムウォーク / 最大流れ問題 / 放物型 / 非線形発展方程式 / 集団遺伝学 / イデアル境界値成分 / 無限ネットワ-ク / ヤング・ミルズ論 / レトラクト理論 / 区分的に定数である遅れ項 / 関数微分方程式 Less

Theory of abstract partial differential equations -- as a method of analyzing population modelsPrincipal Investigator
- Principal Investigator
  
  Kato Nobuyuki
- Project Period (FY)
  2017 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
From abstract evolution equations to abstract partial differential equations - for applications to population dynamics modelsPrincipal Investigator
- Principal Investigator
  
  Kato Nobuyuki
- Project Period (FY)
  2013 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
  Shimane University
Theory of nonlocal nonlinear differential equations and optimization,and applicationsPrincipal Investigator
- Principal Investigator
  
  KATO Nobuyuki
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
ANALYSIS OF SYSTEMS OF DIFFERENTIAL EQUATIONS HAVING SEVERAL NONLOCAL TERMS AND APPLICATIONSPrincipal Investigator
- Principal Investigator
  
  KATO Nobuyuki
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  SHIMANE UNIVERSITY
System of nonlocal nonlinear differential equations and applicationsPrincipal Investigator
- Principal Investigator
  
  KATO Nobuyuki
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
Theory and Applications of Evolution Equations with Nonlocal ConditionsPrincipal Investigator
- Principal Investigator
  
  KATO Nobuyuki
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Shimane University
ポテンシャル論の応用
- Principal Investigator
  
  AIKAWA Hiroaki
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shimane University
無限ネットワーク上のポテンシャル論とその応用
- Principal Investigator
  
  山崎稀嗣
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shimane University
無限ネットワーク上のポテンシャル論とその応用
- Principal Investigator
  
  山崎稀嗣
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shimane University
無限ネットワーク上のポテンシャル論とその応用
- Principal Investigator
  
  山崎稀嗣
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shimane University
関数微分方程式の位相的及び解析的研究
- Principal Investigator
  
  FURUMOCHI Tetsuro
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Shimane University

All 2021 2020 2019 2018 2017 2016 2015 2014 2013 2009 2008 2007 2006 2004 Other

All Journal Article Presentation

[Journal Article] Existence of measure-valued solutions in optimal control age-structured populations2021
- Author(s)
  N. Hritonenko, N. Kato, and Y. Yatsenko
- Journal Title
  
  Applicable Analysis
  
  Volume: - Issue: 5 Pages: 1281-1293
- DOI
  10.1080/00036811.2021.1981876
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05273
[Journal Article] Dirac Delta-Function in Optimal Control of Age-Structured Populations2020
- Author(s)
  Natali Hritonenko, Nobuyuki Kato, Yuri Yatsenko
- Journal Title
  
  Proceeding of 12th International ISAAC Congress
  
  Volume: -
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05273
[Journal Article] Optimal control of investments in old and new capital under improving technology2017
- Author(s)
  N. Hritonenko, N. Kato, Yu. Yatsenko
- Journal Title
  
  J. Optim. Theory Appl.
  
  Volume: 172 Issue: 1 Pages: 247-266
- DOI
  10.1007/s10957-016-1022-y
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400140
[Journal Article] Optimal harvesting for linear size-structured population models with diffusion2017
- Author(s)
  Nobuyuki Kato
- Journal Title
  
  Journal of Nonlinear and Convex Analysis
  
  Volume: 18 Pages: 1335-1348
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17K05273
[Journal Article] Abstract linear partial differential equations related to size-structured population models with diffusion2016
- Author(s)
  Nobuyuki Kato
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 436 Issue: 2 Pages: 890-910
- DOI
  10.1016/j.jmaa.2015.11.077
- NAID
  120005708448
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400140
[Journal Article] Linear size-structured population models with spacial diffusion and optimal harvesting problems2014
- Author(s)
  Nobuyuki Kato
- Journal Title
  
  Math. Model. Nat. Phenom.
  
  Volume: 9 Issue: 4 Pages: 122-130
- DOI
  10.1051/mmnp/20149408
- NAID
  120005466948
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-25400140
[Journal Article] Optimal harvesting for nonlinear size-structured population dynamics2008
- Author(s)
  N. Kato
- Journal Title
  
  J. Math. Anal. Appl. 342
  
  Pages: 1388-1398
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] Maxi mum principle for optimal harvesting in linearsize-structured population2008
- Author(s)
  N. Kato
- Journal Title
  
  Mathemat ical Populat ion Studies 15
  
  Pages: 123-136
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] Maximum principle for optimal harvesting in linear size-structured population2008
- Author(s)
  N. Kato
- Journal Title
  
  Mathematical Population Studies 15
  
  Pages: 123-136
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] Optimal harvesting for nonlinear size-structured population dynamics2008
- Author(s)
  N. Kato
- Journal Title
  
  J. Math. Anal Appl. 342
  
  Pages: 1388-1398
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] A system of non-autonomous nonlinear size-structured population dynamics, Special Issue of Dynamics of Continuous2007
- Author(s)
  N. Kato
- Journal Title
  
  Discrete and Impulsive Systems Series A 14(S2)
  
  Pages: 79-84
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] Size-structured plant population models and harvesting problems2007
- Author(s)
  N. Kato, S. Oharu and K. Shitaoka
- Journal Title
  
  J. Comp Appl. Math. 204
  
  Pages: 114-123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] Size-structured plant population models and harvesting problems2007
- Author(s)
  N. Kato, S. Oharu and K. Shitaoka
- Journal Title
  
  J. Comp. Appl. Math. 204
  
  Pages: 114-123
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] Linear size-structured population models and optimal harvesting problems2006
- Author(s)
  N. Kato
- Journal Title
  
  J. Ecol Dev. Vol. 5 No. F06
  
  Pages: 6-19
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] Linear size-structured population models and optimal harvesting problems2006
- Author(s)
  Nobuyuki Kato
- Journal Title
  
  Int. J. Ecol. Dev. 5・F06
  
  Pages: 6-19
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] A general model of size-dependent population dynamics with nonlinear growth rate2004
- Author(s)
  N.Kato
- Journal Title
  
  J.Math.Anal.Appl. 297
  
  Pages: 234-256
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540172
[Journal Article] A system of nonlinear nonlocal transport equations related to muscle contraction mechanism
- Author(s)
  N.Kato
- Journal Title
  
  Adv.Math.Sci.Appl. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540172
[Journal Article] Size-Structured plant population models and harvesting problems
- Author(s)
  N.Kato, S.Oharu, K.Shitaoka
- Journal Title
  
  J. Comp. Appl. Math. (印刷中)
- Data Source
  KAKENHI-PROJECT-18540178
[Journal Article] A system of nonlinear nonlocal transport equations related to muscle contraction mechanism
- Author(s)
  N.Kato
- Journal Title
  
  Adv.Math.Sci.Appl. (発表予定)
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540172
[Journal Article] A system of nonlinear nonlocal transport equations related to muscle contraction mechanism
- Author(s)
  N.Kato
- Journal Title
  
  Adv.Math.Sci.Appl. (発表予定)
- Data Source
  KAKENHI-PROJECT-15540172
[Presentation] Linearized stability for abstract size-structured equations with delay2019
- Author(s)
  Nobuyuki Kato
- Organizer
  Equadiff2019
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05273
[Presentation] Linearized stability for abstract age-structured population equations with delay in Banach spaces2018
- Author(s)
  Nobuyuki Kato
- Organizer
  The 6th Asian Conference on Nao-Asia 2018
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05273
[Presentation] Optimal harvesting for size-structured population models with spatial diffusion2017
- Author(s)
  Nobuyuki Kato
- Organizer
  Equadiff 2017
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-17K05273
[Presentation] Partial differential equations in Banach lattices related to size-structured population models2015
- Author(s)
  Nobuyuki Kato
- Organizer
  Equadiff 2015
- Place of Presentation
  Université Claude Bernard Lyon 1
- Year and Date
  2015-07-06
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25400140
[Presentation] Abstract size-structured population dynamics in Banach spaces2013
- Author(s)
  Nobuyuki Kato
- Organizer
  Equadiff2013
- Place of Presentation
  Prague, Czech Republic
- Data Source
  KAKENHI-PROJECT-25400140
[Presentation] サイズ構造を持つ個体数変動方程式2009
- Author(s)
  蚊戸宣幸
- Organizer
  日本数学会年会実函数論分科会特別講演
- Place of Presentation
  東京大学
- Year and Date
  2009-03-26
- Data Source
  KAKENHI-PROJECT-18540178
[Presentation] サイズ構造を持つ個体数変動方程式2008
- Author(s)
  蚊戸宣幸
- Organizer
  2009年度日本数学会年会実函数論分科会特別講演
- Place of Presentation
  東京大学
- Year and Date
  2008-03-26
- Data Source
  KAKENHI-PROJECT-18540178
[Presentation] Optimal harvesting for two-system model in size-structured population2008
- Author(s)
  N. Kato
- Organizer
  World Congress of Nonlinear Analysts
- Place of Presentation
  Florida, USA
- Data Source
  KAKENHI-PROJECT-18540178
[Presentation] Optimal harvesting for two-system model in size-structured population2008
- Author(s)
  N. Kato
- Organizer
  The 5th World Congress of Nonlinear Analysts
- Place of Presentation
  Orlando, Florida, USA
- Data Source
  KAKENHI-PROJECT-18540178
[Presentation] A system of size-structured population dynamics with nonlinear growth rate2007
- Author(s)
  N. Kato
- Organizer
  Equadiff07, 2007. 8., Vienna University of Thechnology
- Place of Presentation
  Vienna, Austria
- Data Source
  KAKENHI-PROJECT-18540178
[Presentation] A system of size-structured population dynamics with nonlinear growth rate2007
- Author(s)
  蚊戸宣幸
- Organizer
  Equadiff2007
- Place of Presentation
  ウィーン工科大学
- Data Source
  KAKENHI-PROJECT-18540178
[Presentation] A system of non-autonomous nonlinear size-structured population dynamics2006
- Author(s)
  N. Kato
- Organizer
  The 5th International Conference on Differential Equations and Dynamical Systems
- Place of Presentation
  University of Texas-Pan American, Edinburg, Texas, USA
- Data Source
  KAKENHI-PROJECT-18540178
[Presentation] Size-structured population models with diffusion
- Author(s)
  Nobuyuki Kato
- Organizer
  AIMS2014
- Place of Presentation
  Universidad Autonoma de Madrid, Madrid, Spain
- Year and Date
  2014-07-07 – 2014-07-11
- Data Source
  KAKENHI-PROJECT-25400140

1. FURUMOCHI Tetsuro (40039128)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
2. YAMASAKI Maretsugu (70032935)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
3. 三輪拓夫 (60032455)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. AIKAWA Hiroaki (20137889)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. SUGIE Jitsuro (40196720)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. 今岡輝男 (60032603)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
7. 吉川通彦 (70032430)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
8. KUROIWA Daishi (40284020)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
9. MACHIHARA Shuji (20346373)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
10. 江口真透 (10168776)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 松永弘道 (30032634)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. 前田定廣 (40181581)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. SAITO Yasuhisa (30402241)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. SETO Michio (30398953)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

Kato Nobuyuki 蚊戸 宣幸

KATO Nobuyuki 蚊戸 宣幸

蚊戸 宣幸 カト ノブユキ

Research Projects

Research Products

Co-Researchers

Theory of abstract partial differential equations -- as a method of analyzing population modelsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

From abstract evolution equations to abstract partial differential equations - for applications to population dynamics modelsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Theory of nonlocal nonlinear differential equations and optimization,and applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ANALYSIS OF SYSTEMS OF DIFFERENTIAL EQUATIONS HAVING SEVERAL NONLOCAL TERMS AND APPLICATIONSPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

System of nonlocal nonlinear differential equations and applicationsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Theory and Applications of Evolution Equations with Nonlocal ConditionsPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

ポテンシャル論の応用

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

無限ネットワーク上のポテンシャル論とその応用

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

無限ネットワーク上のポテンシャル論とその応用

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

無限ネットワーク上のポテンシャル論とその応用

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

関数微分方程式の位相的及び解析的研究

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Existence of measure-valued solutions in optimal control age-structured populations2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Dirac Delta-Function in Optimal Control of Age-Structured Populations2020

Author(s)

Journal Title

Kato Nobuyuki 蚊戸宣幸

KATO Nobuyuki 蚊戸宣幸

蚊戸宣幸カトノブユキ