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Kato Nobuyuki  蚊戸 宣幸

ORCIDConnect your ORCID iD *help
… 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 (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
  • Research Projects

    (11 results)
  • Research Products

    (33 results)
  • Co-Researchers

    (14 People)
  •  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

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