Updated on 2022/07/13

写真a

 
Tanigawa Tomoyuki
 
Organization
Graduate School of Science Department of Mathematics Professor
School of Science Department of Mathematics
Title
Professor
Affiliation
Institute of Science

Position

  • Graduate School of Science Department of Mathematics 

    Professor  2022.04 - Now

  • School of Science Department of Mathematics 

    Professor  2022.04 - Now

Degree

  • 博士(理学) ( Fukuoka University )

Research Areas

  • Natural Science / Applied mathematics and statistics

  • Natural Science / Basic mathematics

Research subject summary

  • 非線形微分方程式の振動理論

Research Career

  • Qualitative theory of differential equations

    Oscillation theory, Oscillation and Nonoscillation, Asymptotic Analysis  International Joint Research

    1996 - Now 

Professional Memberships

  • 日本数学会

    1999.04 - Now

Committee Memberships (off-campus)

  • 地方区代議員   日本数学会  

    2021.03 - 2022.02 

Papers

  • Extreme and moderate solutions of nonoscillatory second order half-linear differential equations Reviewed

    Jaroslav Jaros, Takasi Kusano and Tomoyuki Tanigawa

    Annales Polonici Mathematici 雑誌   2021

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    Kind of work:Joint Work  

  • Oscillation criteria for fourth order half-linear differential equations Reviewed

    Jaroslav Jaros, Takasi Kusano and Tomoyuki Tanigawa

    Archivum Mathematicum (Brno) 雑誌   56 ( 2 )   2020

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    Kind of work:Joint Work  

  • Nonoscillatory solutions of planar half-linear differential systems: a Riccati equation approach Reviewed

    J. Jaros, T. Kusano and T. Tanigawa

    Electronic Journal of Qualitative Theory of Differential Equations 雑誌   2018 ( 92 )   2018

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    Kind of work:Joint Work  

  • Regularly varying solutions with intermediate growth for a class of cyclic differential systems of the second order Reviewed

    J. Jaros, T. Kusano and T.Tanigawa

    Electronic Journal of Differential Equations 雑誌   328   1 - 22   2016

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    Kind of work:Joint Work  

  • Regularly varying solutions of half-linear differential equations with retarded and advanced arguments Reviewed

    J. Manojlovic and T. Tanigawa

    Mathematica Slovaca 雑誌   65   2015

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    Kind of work:Joint Work  

  • Asymptotic analysis of positive decreasing solutions of a class of systems of second order nonlinear differential equations in the framework of regular variation Reviewed

    J. Jaros, T. Kusano and T. Tanigawa

    The Australian Journal of Mathematical Analysis and Applications 雑誌   12   2015

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    Kind of work:Joint Work  

  • Existence and asymptotic behavior of strongly monotone solutions of nonlinear differential equations Reviewed

    Tomoyuki Tanigawa

    Differential Equations and Applications 雑誌   7   2015

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    Kind of work:Single Work  

  • Asymptotic analysis of positive solutions of third order nonlinear differential equations Reviewed

    J. Jaros, T. Kusano and T. Tanigawa

    Hiroshima Mathematical Journal   44   2014

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    Kind of work:Joint Work  

  • Asymptotic analysis of positive solutions of a class of third order nonlinear differential equations in the framework of regular variation Reviewed

    J. Jaros, T. Kusano and T. Tanigawa

    Mathematische Nachrichten   293   2013

  • Existence and asymptotic behavior of positive solutions of fourth order quasilinear differential equations Reviewed

    T. Kusano, J. Manojlovic and T. Tanigawa

    Taiwanese Journal of Mathematics 雑誌   17   2013

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    Kind of work:Joint Work  

  • Existence and precise asymptotics of positive solutions for a class of nonlinear differential equations of the third order Reviewed

    J. Jaros, T. Kusano and T.Tanigawa

    Georgian Mathematical Journal 雑誌   20   2013

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    Kind of work:Joint Work  

  • An asymptotic analysis of positive solutions of generalized Thomas-Fermi differential equations - The sub-half-linear case Reviewed

    T. Kusano, V. Maric and T. Tanigawa

    Nonlinear Analysis: Theory, Methods & Applications   75   2012

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    Kind of work:Joint Work  

  • Generalized regularly varying solutions of second order nonlinear differential equations with deviating arguments Reviewed

    T. Tanigawa

    Memoirs on Differential Equations and Mathematical Physics   57   2012

  • Sharp oscillation criteria for a class of fourth order nonlinear differential equations Reviewed

    T. Kusano, J. Manojlvic and T. Tanigawa

    The Rocky Mountain Journal of Mathematics 雑誌   41   2011

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    Kind of work:Joint Work  

  • Effect of nonlinear perturbations on second order linear nonoscillatory differential equations Reviewed

    A. Shibuya and T. Tanigawa

    Electronic Journal of Qualitative Theory of Differential Equations 雑誌   34   2010

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    Kind of work:Joint Work  

  • Existence of regularly varying solutions with nonzero indices of half-linear differential equations with retarded arguments Reviewed

    T. Kusano, J. Manojlovic and T. Tanigawa

    Computers & Mathematics with Applications 雑誌   59   2010

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    Kind of work:Joint Work  

  • Regularly varying solutions of generalized Thomas-Fermi equations Reviewed

    T. Kusano, V. Maric and T. Tanigawa

    Bulletin. Classe des Sciences Mathematiques et Naturelles. Sciences Mathematiques 雑誌   34   2009

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    Kind of work:Joint Work  

  • Regularly varying solutions of half-linear functional differential equations with retarded arguments Reviewed

    T. Tanigawa

    Acta Mathematica Hungarica 雑誌   120   2008

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    Kind of work:Single Work  

  • Oscillatory behavior of second order neutral differential equations with positive and negative coefficients Reviewed

    J. Manojlovic, Y. Shokaku, T. Tanigawa and N. Yoshida

    Applications & Applied Mathematics 雑誌   3   2008

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    Kind of work:Joint Work  

  • Comparison theorems for perturbed half-linear differential equations Reviewed

    T. Kusano, J. Manojlovic and T. Tanigawa

    Euler's 300 Birthday Anniversary volume (F.I.D.A) Functional Equations; Integral Equations; Differential Equations and Applications of International Journal of Applied Mathematics and Statistics 雑誌   9   2007

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    Kind of work:Joint Work  

  • Oscillation theorems for differential equations involving nonlinear Sturm-Liouville operator Reviewed

    T.Tanigawa

    Georgian Mathematical Journal 雑誌   14   2007

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    Kind of work:Single Work  

  • The asymptotic behaviour of solutions of a class of nonlinear second order differential equations Reviewed

    T. Kusano, V. Maric and T. Tanigawa

    Bulletin of the London Mathemactical Society 雑誌   39   2007

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    Kind of work:Joint Work  

  • Oscillation and nonoscillation theorems for a class of even-order quasilinear functional differential equations Reviewed

    J. Manojlovic and T. Tanigawa

    Journal of Inequalities and Applications 雑誌   42120   2006

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    Kind of work:Joint Work  

  • Nonoscillatory half-linear differential equations and generalized Karamata functions Reviewed

    J. Jaros, T. Kusano and T. Tanigawa

    Nonlinear Analysis: Theory, Methods & Applications 雑誌   64   2006

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    Kind of work:Joint Work  

  • Oscillation criteria for a class of higher order nonlinear differential equations Reviewed

    T. Tanigawa

    Memoirs on Differential Equations and Mathematical Physics 雑誌   37   2006

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    Kind of work:Single Work  

  • On the structure of positive solutions of a class of fourth order nonlinear differential equations Reviewed

    T. Kusano and T. Tanigawa

    Annali di Matematica Pura ed Applicata 雑誌   185   2006

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    Kind of work:Joint Work  

  • Oscillation criteria for second order differential equations with positive and negative coefficients Reviewed

    J. Manojlovic, Y. Shokaku, T. Tanigawa and N. Yoshida

    Applied Mathematics and Computation 雑誌   181   2006

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    Kind of work:Joint Work  

  • On the existence of positive solutions for a class of even order quasilinear differential equations Reviewed

    T. Tanigawa and W. Fentao

    Advences in Mathematical Sciences and Applications 雑誌   14   2004

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    Kind of work:Joint Work  

  • Picone identities for ordinary differential equations of fourth order Reviewed

    T. Tanigawa and N. Yoshida

    Mathematics Journal of Toyama University 雑誌   27   2004

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    Kind of work:Joint Work  

  • Nonoscillation theory for second order half-linear differential equations in the framework of regular variation Reviewed

    J. Jaros, T. Kusano and T. Tanigawa

    Results in Mathematics 雑誌   43   2003

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    Kind of work:Joint Work  

  • Oscillation and nonoscillation theorems for a class of fourth order quasilinear functional differential equations Reviewed

    T. Tanigawa

    Hiroshima Mathematical Journal 雑誌   33   2003

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    Kind of work:Single Work  

  • Asymptotic of some classes of nonoscillatory solutions of second order half-linear differential equations Reviewed

    T. Kusano, V. Maric and T. Tanigawa

    Bulletin de l'Academic Serbe des Sciences et Arts 雑誌   28   2003

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    Kind of work:Joint Work  

  • Positive increasing solutions of systems of second order singular differential equations Reviewed

    T. Tanigawa

    Advances in Mathematical Sciences and Applications 雑誌   11   2001

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    Kind of work:Single Work  

  • Positive decreasing solutions of systems of second order singular differential equations Reviewed

    T. Kusano and T. Tanigawa

    Journal of Inequalities and Applications 雑誌   5   2000

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    Kind of work:Joint Work  

  • Positive increasing solutions of singular differential systems of second order Reviewed

    T. Kusano and T. Tanigawa

    Proceedings of the Institute of Mathematics, NAS of Belarus 雑誌   4   2000

  • Positive decreasing solutions of systems of second order quasilinear differential equations Reviewed

    T. Tanigawa

    Funkcialaj Ekvacioj 雑誌   43   2000

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    Kind of work:Single Work  

  • Existence and asymptotic behavior of positive of solutions of second order quasilinear differential equations Reviewed

    T. Tanigawa

    Advances in Mathematical Sciences and Applications 雑誌   9   1999

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    Kind of work:Single Work  

  • Asymptotic behavior of positive solutions to nonlinear singular differential equations of second order Reviewed

    T. Tanigawa

    Studia Scientiarum Mathematicarum Hungarica 雑誌   35   1999

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    Kind of work:Single Work  

  • Positive solutions to second order singular differential equations involving the one-dimensional m-Laplace operator Reviewed

    T. Tanigawa

    Georgian Mathematical Journal 雑誌   6   1999

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    Kind of work:Single Work  

  • On second- order half-linear oscillations Reviewed

    H. Hoshino, R. Imabayashi, T. Kusano and T. Tanigawa

    Advances in Mathematical Sciences and Applications 雑誌   8   1998

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    Kind of work:Joint Work  

  • Positive solutions to a class of second order differential equations with singular nonlinearities Reviewed

    T. Kusano and T. Tanigawa

    Applicable Analysis 雑誌   69   1998

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    Kind of work:Joint Work  

  • An oscillatory half-linear differential equation Reviewed

    A. Elbert, T. Kusano and T. Tanigawa

    Archivum Mathematicum (Brno) 雑誌   33   1997

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    Kind of work:Joint Work  

▼display all

Charge of on-campus class subject

  • Practicum in Applied Analysis

    2021    

  • Special Topics in Mathematical Systems Engineering A

    2021    

  • Calculus II

    2021    

  • Fourier Analysis

    2021    

  • Exercise in Mathematical Analysis I

    2021    

  • Mathematical Analysis I

    2021    

  • Fourier Analysis

    2021    

  • Complex Analysis

    2021    

  • Nonlinear Analysis

    2021    

  • Functional Equations I

    2021    

▼display all

Number of instructed thesis, researches

  • 2021

    Number of instructed the graduation thesis:

Social Activities

  • 出前授業

    2018.04 - 2019.03

Visiting Lectures ⇒ Link to the list of Visiting Lectures

  • 高等学校数学における面積学習の応用

    Category:Science (mathematics, physics, chemistry, biology, geology, biochemistry)

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    Audience:High school students

    Keyword:取り尽くし法、数学史 

    小学校算数において学習する"円の面積"の求め方(取り尽くし法)を詳細に分かり易く解説する授業です。

  • 算数・数学の良さと有用性の理解

    Category:Science (mathematics, physics, chemistry, biology, geology, biochemistry)

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    Audience:High school students

    「お金持ちになる方法と健康な体を維持する方法を学ぼう!」という副タイトルで、複利金利と体重管理について授業を行います。

  • 数学へのはじめの一歩

    Category:Science (mathematics, physics, chemistry, biology, geology, biochemistry)

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    Audience:Schoolchildren, Junior high school students

    Keyword:導関数 

    「算数・数学から”速く走れる方法”を学ぼう!」という副タイトルで出前授業を行います。実際の小・中学生の50m走あるいは100m走のタイムを測り、その速さをグラフ化して解析を行い、どのようにしたら速く走ることができるかを解説します。

  • 微分方程式から見る数学の有用性とその活用

    Category:Science (mathematics, physics, chemistry, biology, geology, biochemistry)

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    Audience:High school students, College students, Teachers, Researchers, General, Civic organization

    Keyword:ネイピア数, 微分方程式 

    ネイピア数の導入と簡単な微分方程式を用いて, 日常生活に数学が有用であることを講義・演習形式で行っています。