Organization
Graduate School of Science Department of Mathematics Professor
School of Science Department of Mathematics
School of Science Department of Mathematics
Title
Professor
Affiliation
Institute of Science
Tanigawa Tomoyuki
Position
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Graduate School of Science Department of Mathematics
Professor 2022.04 - Now
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School of Science Department of Mathematics
Professor 2022.04 - Now
Degree
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博士（理学） （ Fukuoka University ）
Research Areas
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Natural Science / Applied mathematics and statistics
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Natural Science / Basic mathematics
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Natural Science / Basic analysis
Research Interests
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Ordinary differential equations
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Oscillation theory
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微分方程式・定性的理論・振動理論
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Qualitative theory
Research subject summary
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非線形微分方程式の振動理論
Research Career
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Qualitative theory of differential equations
Oscillation theory, Oscillation and Nonoscillation, Asymptotic Analysis International Joint Research
1996 - Now
Professional Memberships
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日本数学会
1999.04 - Now
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日本数学会
Committee Memberships (off-campus)
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地方区代議員 日本数学会
2021.03 - 2022.02
Papers
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Fujimoto K.
Memoirs on Differential Equations and Mathematical Physics 90 1 - 13 2023（ ISSN:15120015 ）
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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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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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Oscillation criteria for fourth order half-linear differential equations Reviewed
Jaroslav Jaroš, Kusano Takaŝi, Tomoyuki Tanigawa
Archivum Mathematicum 56 ( 2 ) 115 - 125 2020（ ISSN:0044-8753 ） （ eISSN:1212-5059 ）
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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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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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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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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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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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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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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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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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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
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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
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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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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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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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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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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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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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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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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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Oscillation theorems for differential equations involving nonlinear Sturm-Liouville operator Reviewed
T.Tanigawa
Georgian Mathematical Journal 雑誌 14 2007
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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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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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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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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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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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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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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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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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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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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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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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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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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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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
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Positive decreasing solutions of systems of second order quasilinear differential equations Reviewed
T. Tanigawa
Funkcialaj Ekvacioj 雑誌 43 2000
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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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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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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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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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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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An oscillatory half-linear differential equation Reviewed
A. Elbert, T. Kusano and T. Tanigawa
Archivum Mathematicum (Brno) 雑誌 33 1997
Grant-in-Aid for Scientific Research
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非線形常微分方程式の解の定性解析と定量解析：新解析技法の創造と展開
Grant-in-Aid for Scientific Research(C) 2025
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非線形常微分方程式の解の定性解析と定量解析：新解析技法の創造と展開
Grant-in-Aid for Scientific Research(C) 2024
Charge of on-campus class subject
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数学特別研究2A
2024 Intensive lecture Graduate school
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数学特別研究1A
2024 Intensive lecture Graduate school
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解析学特別講義A
2024 Intensive lecture Graduate school
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数学概論B
2024 Weekly class Graduate school
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数学特別研究5A
2024 Intensive lecture Graduate school
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数学特別研究4A
2024 Intensive lecture Graduate school
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数学特別研究3A
2024 Intensive lecture Graduate school
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フーリエ解析
2024 Weekly class Graduate school
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常微分方程式
2024 Weekly class Graduate school
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解析学I
2024 Weekly class Undergraduate
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Practicum in Applied Analysis
2021
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Special Topics in Mathematical Systems Engineering A
2021
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Calculus II
2021
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Fourier Analysis
2021
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Exercise in Mathematical Analysis I
2021
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Mathematical Analysis I
2021
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Fourier Analysis
2021
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Complex Analysis
2021
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Nonlinear Analysis
2021
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Functional Equations I
2021
Number of instructed thesis, researches
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2021
Number of instructed the graduation thesis：1
Social Activities ⇒ Link to the list of Social Activities
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出前授業
2018.04 - 2019.03
Visiting Lectures ⇒ Link to the list of Visiting Lectures
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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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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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数学へのはじめの一歩
Category：Science (mathematics, physics, chemistry, biology, geology, biochemistry)
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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)