Satoshi Tanaka

Profile Information

Affiliation: 教授, 大学院理学研究科, 東北大学

Degree: 博士（理学）(愛媛大学)

Researcher number: 90331959
J-GLOBAL ID: 201801017179599110
researchmap Member ID: B000301475

主に境界値問題について研究しています。

Research Interests

Research Areas

Natural sciences / Mathematical analysis /

Research History

Apr, 2020 - Present

Professor, Graduate School of Science Department of Mathematics, Tohoku University
Apr, 2014 - Apr, 2020

Professor, Faculty of Science, Okayama University of Science
Apr, 2009 - Mar, 2014

Associate Professor, Faculty of Science, Okayama University of Science
Apr, 2004 - Mar, 2009

Lecturer, Faculty of Science, Okayama University of Science
Apr, 2000 - Mar, 2004

Lecturer, Hachinohe National College of Technology

Education

Apr, 1999 - Mar, 2000

Faculty of Science, Ehime University
Apr, 1996 - Mar, 1999

Ehime University
Apr, 1994 - Mar, 1996

Toyama University
Apr, 1990 - Mar, 1994

Department of Mathematics, Faculty of Science, Toyama University

Committee Memberships

Jul, 2022 - Present

Editor, Differential Equations and Dynamical Systems
Apr, 2020 - Present

Editor, Tohoku Mathematical Journal
Jan, 2017 - Present

Editor, Differential Equations & Applications
Sep, 2007 - Present

Reviewer for zbMATH, ヨーロッパ数学会
May, 2007 - Present

Reviewer for Mathematical Reviews, アメリカ数学会
Mar, 2023 - Feb, 2024

常任編集委員, 雑誌「数学通信」
Mar, 2023 - Feb, 2024

評議員, 日本数学会東北支部
Mar, 2016 - Feb, 2017

2016年度地方区代議員, 日本数学会
Oct, 2015 - Dec, 2015

FONDECYT Regular 2016 grant competition 審査員, FONDECYT
Feb, 2013 - May, 2013

Croatian Science Foundation 審査員, Croatian Science Foundation

Awards

Dec, 2013

The 5th Hukuhara Prize (2013), Research on boundary value problems and qualitative properties of solutions to ordinary differential equations and research on neutral differential equations, Division of Functional Equations, The Mathematical Society of Japan

Satoshi Tanaka

Papers

Asymptotic behavior and monotonicity of radial eigenvalues for the p-Laplacian

Ryuji Kajikiya, Mieko Tanaka, Satoshi Tanaka

Journal of Differential Equations, 387(5) 496-531, Apr, 2024 Peer-reviewedCorresponding author
Periodic solutions for nonlinear systems of Ode's with generalized variable exponents operators

M. García-Huidobro, R. Manásevich, J. Mawhin, S. Tanaka

Journal of Differential Equations, 388 34-58, 2024 Peer-reviewedCorresponding author
An eigenvalue problem for a variable exponent problem, via topological degree

Raul Manasevich, Satoshi Tanaka

Discrete and Continuous Dynamical Systems, 2023 Peer-reviewedCorresponding author
Multiple existence of positive even solutions for a two point boundary value problem on some very narrow possible parameter set

Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe

Journal of Mathematical Analysis and Applications, 513(1) 126182-126182, Sep, 2022 Peer-reviewed
A note on the asymptotic behavior of radial solutions to quasilinear elliptic equations with a Hardy potential

Kenta Itakura, Satoshi Tanaka

Proceedings of the American Mathematical Society, Series B, 8(25) 302-310, Oct 12, 2021 Peer-reviewedCorresponding author
Uniqueness of positive radial solutions of superlinear elliptic equations in annuli

Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe

Journal of Differential Equations, 284 522-545, May, 2021 Peer-reviewed
Rectifiability of orbits for two-dimensional nonautonomous differential systems

Masakazu Onitsuka, Satoshi Tanaka

Electronic Journal of Qualitative Theory of Differential Equations, 2021(18) 1-23, Mar, 2021 Peer-reviewed
On the uniqueness of solutions of a semilinear equation in an annulus

Carmen Cortázar, M. García-Huidobro, Pilar Herreros, Satoshi Tanaka

Communications on Pure & Applied Analysis, 2021 Peer-reviewed
Perturbations of planar quasilinear differential systems

Kenta Itakura, Masakazu Onitsuka, Satoshi Tanaka

Journal of Differential Equations, 271 216-253, Jan, 2021 Peer-reviewed
Positive Solutions for Systems of Quasilinear Equations with Non-homogeneous Operators and Weights

Marta Garcia-Huidobro, Raul Manasevich, Satoshi Tanaka

Advanced Nonlinear Studies, 20(2) 293-310, 2020 Peer-reviewedInvited
Symmetry-breaking bifurcation for the one-dimensional Henon equation

Satoshi Tanaka

Communications in Contemporary Mathematics, 21(1), 2019 Peer-reviewed
Rectifiable and nonrectifiable solution curves of half-linear differential systems

Yuki Naito, Mervan Pašić, Satoshi Tanaka

Mathematica Slovaca, 68(3) 575-590, Jun 26, 2018 Peer-reviewed
A complete classification of bifurcation diagrams for a class of (p,q)-Laplace equations

Ryuji Kajikiya, Inbo Sim, Satoshi Tanaka

Journal of Mathematical Analysis and Applications, 462(2) 1178-1194, Jun 15, 2018 Peer-reviewed
Box-counting dimension of oscillatory solutions to the Emden-Fowler equation

Takanao Kanemitsu, Satoshi Tanaka

Differential Equations & Applications, 10(2) 239-250, 2018 Peer-reviewed
Box-counting dimension of solution curves for a class of two-dimensional nonautonomous linear differential systems

Masakazu Onitsuka, Satoshi Tanaka

Mathematical Communications, 23(1) 43-60, 2018 Peer-reviewed
Symmetry-breaking bifurcation for the Moore–Nehari differential equation

Ryuji Kajikiya, Inbo Sim, Satoshi Tanaka

NoDEA. Nonlinear Differential Equations and Applications, 25(6), 2018 Peer-reviewed
Symmetry-breaking bifurcation for the one-dimensional Liouville type equation

Satoshi Tanaka

JOURNAL OF DIFFERENTIAL EQUATIONS, 263(10) 6953-6973, Nov, 2017 Peer-reviewed
CHARACTERISTIC EQUATION FOR AUTONOMOUS PLANAR HALF-LINEAR DIFFERENTIAL SYSTEMS

M. Onitsuka, S. Tanaka

ACTA MATHEMATICA HUNGARICA, 152(2) 336-364, Aug, 2017 Peer-reviewed
Rectifiability of Solutions for a Class of Two-Dimensional Linear Differential Systems

Masakazu Onitsuka, Satoshi Tanaka

MEDITERRANEAN JOURNAL OF MATHEMATICS, 14(2), Apr, 2017 Peer-reviewed
BIFURCATION OF POSITIVE SOLUTIONS FOR THE ONE-DIMENSIONAL (p, q)-LAPLACE EQUATION

Ryuji Kajikiya, Mieko Tanaka, Satoshi Tanaka

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017(Paper No. 107), Apr, 2017 Peer-reviewed

Misc.

Symmetry-breaking bifurcation of positive solutions to a one-dimensional Liouville type equation

田中敏

数理解析研究所講究録「実領域における常微分方程式の定性的研究」, 1993 100-106, Apr, 2016
On the nonuniqueness of positive solutions of boundary value problems for superlinear Emden-Fowler equations (Mathematical Analysis and Functional Equations from New Points of View)

Tanaka Satoshi

RIMS Kokyuroku, 1750 70-76, Jul, 2011
On the uniqueness and nonuniqueness of nodal radial solutions of sublinear elliptic equations in a ball (Dynamics of Functional Equations and Mathematical Models)

Tanaka Satoshi

RIMS Kokyuroku, 1637 39-46, Apr, 2009
An identity for a quasilinear ordinary differential equation and its applications

田中敏

数理解析研究所講究録「関数方程式論におけるモデリングと複素解析」, 1582 18-22, Apr, 2008
On the uniqueness of nodal radial solutions of superlinear elliptic equations in a ball

Satoshi Tanaka

RIMS Kokyuroku, 1547 120-124, Apr, 2007
Existence of solutions with prescribed numbers of zeros of boundary value problems for ordinary differential equations with the one-dimensional p-Laplacian

Satoshi Tanaka

RIMS Kokyuroku, 1474 162-168, Feb, 2006
On the uniqueness of nodal radial solutions of sublinear elliptic equations in a ball (Functional Equations and Complex Systems)

Tanaka Satoshi

RIMS Kokyuroku, 1445 12-18, Jul, 2005
Existence of solutions of two point boundary value problems with concave and convex nonlinearities

Satoshi Tanaka

RIMS Kokyuroku, 1254 190-192, Apr, 2002
Oscillatory solutions of neutral differential equations

Satoshi Tanaka

RIMS Kokyuroku, 1216 274-281, Jun, 2001
Existence of oscillatory solutions of neutral differential equations

Satoshi Tanaka

RIMS Kokyuroku, 1128 82-90, Jan, 2000
Comparison Theorems for Neutral Differential Equations

Satoshi Tanaka

RIMS Kokyuroku, 1083 219-230, Feb, 1999
中立型微分方程式のある終局的正値解が存在するための必要十分条件

田中敏

数理解析研究所講究録「非線形の数理と関数方程式」, 1034 185-198, Apr, 1998

Presentations

150

p-Laplacian の球対称固有値の漸近挙動と単調性

田中敏

北見工大における微分方程式セミナー（通算第45回）, Sep 13, 2023
On the multiplicity of positive even solutions to the one-dimensional Henon type equation on some very narrow possible parameter set

Jun 1, 2023 Invited
Uniqueness and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional unit sphere

Satoshi Tanaka

May 31, 2023 Invited
三次元単位球面上の円環領域における scalar-field 方程式の正値解の多重存在

田中敏

微分方程式における解の漸近挙動の解析とその周辺, Mar 9, 2023 Invited
Uniqueness and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional unit sphere

Satoshi Tanaka

13th Americas Conference on Diff. Equations and Nonlinear Analysis and ICMC Summer Meeting on Differ- ential Equations - 2023 Chapter, Feb 1, 2023 Invited
Uniqueness and nonuniqueness of positive radial solutions to the Brezis-Nirenberg problem in an annulus

Satoshi Tanaka

The 41th Kyushu Symposium on Partial Differential Equations, Jan 22, 2023 Invited
Existence and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional sphere

Satoshi Tanaka

CMM PDE Seminar, Oct 25, 2022 Invited
Existence and multiplicity of positive solutions to the scalar-field equation on large annuli in the 3-sphere

田中敏, 渡辺宏太郎, 塩路直樹

日本数学会 2022 年度秋季総合分科会, Sep 13, 2022
三次元単位球面内の円環領域上の scalar-field 方程式の正値対称解

田中敏

広島数理解析セミナー (第 260 回), Jul 22, 2022 Invited
On the uniqueness of positive radial solutions to superlinear elliptic equations in annuli

Satoshi Tanaka

The 23rd Northeastern Symposium on Mathematical Analysis, Feb 22, 2022 Invited
1 次元 Henon 型方程式の正値対称解の多重存在

田中敏

第 5 回精度保証付き数値計算の実問題への応用研究集会 (NVR 2021), Nov 28, 2021 Invited
Multiple existence of positive even function solutions for a two point boundary value problem on some very narrow possible parameter set

Sep 14, 2021
Multiplicity of positive even solutions to the one-dimensional Henon type equation on some very narrow possible parameter set

Satoshi Tanaka

Differential Equations Day on ZOOM, Aug 18, 2021 Invited
On a perturbation theory for the planar quasilinear differential system and its application

Mar 15, 2021
1 次元 Henon 方程式の正値対称解のモース指数と対称性破壊分岐について

田中敏

第 4 回精度保証付き数値計算の実問題への応用研究集会 (NVR 2020), Nov 29, 2020 Invited
Perturbation of planar quasilinear differential systems and its application

Oct 22, 2020 Invited
Perturbations of quasilinear differential systems

Satoshi Tanaka

2019 International Workshop on Nonlinear PDEs and Its Applications, Nov 2, 2019 Invited
Perturbations of half-linear differential systems and its application to quasilinear elliptic equations

Satoshi Tanaka

Equadiff 2019, Jul 9, 2019
1次元 Henon 方程式の正値対称解のモース指数と対称性破壊分岐

田中敏

東北大学応用数理解析セミナー, May 16, 2019 Invited
Uniqueness of positive radial solutions of superlinear elliptic equations in annuli

Satoshi Tanaka

Mar 26, 2019 Invited

Professional Memberships

Sep, 2021 - Present

日本応用数理学会
THE MATHEMATICAL SOCIETY OF JAPAN

Research Projects

Nonlinear Elliptic Equations and Its Applications

Apr, 2022 - Mar, 2024
２点境界値問題の解の厳密な個数と分岐現象

科学研究費助成事業基盤研究(C), 基盤研究(C), 日本学術振興会, Apr, 2019 - Mar, 2022

田中敏
Analysis of singular nonlinear structure in dissipative systems

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (A), Grant-in-Aid for Scientific Research (A), Japan Society for the Promotion of Science, Apr, 2017 - Mar, 2022
International Workshop on Nonlinear Elliptic Equations and Its Applications

Apr, 2020 - Mar, 2022
The number of solutions and the length and the fractal dimension of oscillatory solutions of two point boundary problems

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, Apr, 2014 - Mar, 2019

Tanaka Satoshi, Onitsuka Masakazu, Naito Yuki, Kajikiya Ryuji, Tanaka Mieko, Kanemitsu Takanao, Shioji Naoki, Watanabe Kohtaro, Pasic Mervan, Sim Inbo, Wu Fentao, Wang Shin-Hwa, Hung Kuo-Chih, Manasevich Raul, Garcia-Huidobro Marta
The number of nonoscillatory solutions and the length and the fractal dimension for two-point boundary value problems

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2011 - 2013

TANAKA Satoshi
Study of the solution semigroup for integral equations and related topics

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2010 - 2012

MURAKAMI Satoru, HAMAYA Yoshihiro, NAGABUCHI Yutaka, KAMIYA Shigeyasu, TANAKA Satoshi
A study on the number of sign-changing solutions of two-point boundary value problems and its application

Grants-in-Aid for Scientific Research Grant-in-Aid for Young Scientists (B), Grant-in-Aid for Young Scientists (B), Japan Society for the Promotion of Science, 2008 - 2010

TANAKA Satoshi
Study of stability properties for positive linear equations with delay and related topics

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2009

MURAKAMI Satoru, KAMIYA Shigeyasu, HAMAYA Yoshihiro, NAGABUCHI Yutaka, TANAKA Satoshi, SHIMENO Nobukazu
Oscillation theory and singular boundary value problems for higher-order ordinary differential equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2007 - 2008

NAITO Manabu, SUGIE Jitsuro, USAMI Hiroyuki, TANAKA Satoshi
Self-similar structure and singularity of solutions for nonlinear parabolic partial differential equations

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2005 - 2007

NAITO Yuki, ISHI Katsuyuki, KUWAMURA Masataka, SUZUKI Takashi, SATO Tokushi, TANAKA Satoshi
Formal adjoint equation for equations with time delay and its applications

Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C), Grant-in-Aid for Scientific Research (C), Japan Society for the Promotion of Science, 2004 - 2006

MURAKAMI Satoru, KAMIYA Shigeyasu, HAMAYA Yoshihiro, SHIMENO Nobukazu, NAGABUCHI Yutaka, TANAKA Satoshi
漸近挙動による中立型微分方程式の正値解の分類とその構造に関する研究

科学研究費助成事業若手研究(B), 若手研究(B), 日本学術振興会, 2002 - 2004

田中敏

Social Activities

RIMS共同研究（グループ型Ａ）「非線形問題における精密解析」

Host, Planner, Logistic support

田中敏、内藤雄基, Mar 4, 2024 - Mar 6, 2024
2024 Japan-Korea Workshop on Nonlinear PDEs and Its Applications

Host, Planner, Logistic support

Satoshi Tanaka, Inbo Sim, Yuki Naito, Jan 16, 2024 - Jan 17, 2024
Recent Development of Qualitative Theory on ODEs and its Applications

Host, Planner, Logistic support

Oct 25, 2023 - Oct 27, 2023
2023 Korea-Japan Workshop on Nonlinear PDEs and Its Applications

Host, Planner, Logistic support

Inbo Sim, Satoshi Tanaka, Sep 6, 2023 - Sep 9, 2023
The 13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Special Session 28: Qualitative theory of nonlinear elliptic and parabolic equations

Host, Planner, Logistic support

May 31, 2023 - Jun 1, 2023
New developments of nonlinear problems with precision analyses

Host, Planner, Logistic support

Mar 6, 2023 - Mar 8, 2023
大阪公立大学における微分方程式セミナー（通算第44回）

Host, Planner, Logistic support

谷川智幸、田中敏、内藤雄基, Sep 6, 2022 - Sep 7, 2022
Accurate analysis of nonlinear problems

Host, Planner, Logistic support

Mar 7, 2022 - Mar 8, 2022
International Workshop on Nonlinear Elliptic Equations and Its Applications

Host, Planner, Logistic support

Satoshi Tanaka, Ryuji Kajikiya, Yuki Naito, Jan 26, 2022 - Jan 27, 2022
Theory on ODEs and its Applications

Host, Planner, Logistic support

Nov 10, 2021 - Nov 12, 2021
オンラインによる微分方程式セミナー

Host, Planner, Logistic support

内藤雄基、田中敏, Aug 30, 2021 - Aug 31, 2021
RIMS 共同研究（グループ型）「非線形問題への常微分方程式の手法によるアプローチ」副代表者

Host, Planner, Logistic support

内藤雄基、田中敏, Mar 4, 2021 - Mar 5, 2021
The 22nd Northeastern Symposium on Mathematical Analysis

Host, Planner, Logistic support

Feb 15, 2021 - Feb 16, 2021
「半田山微分方程式セミナー」世話人

Planner, Logistic support

田中敏、下條昌彦、鬼塚政一、瓜屋航太, Dec 6, 2012 - Mar 31, 2020
第六回 ODE 若手セミナー

Host, Planner, Logistic support

田中敏、鬼塚政一, Dec 6, 2019 - Dec 7, 2019
愛媛大学における微分方程式セミナー（通算第 42 回）

Host, Planner, Logistic support

橋詰雅斗、田中敏、内藤雄基, Aug 23, 2019 - Aug 24, 2019
RIMS 共同研究（グループ型）「常微分方程式の手法による非線形問題の探究研究集会」副代表者

Host, Planner, Logistic support

内藤雄基、田中敏, Mar 7, 2019 - Mar 9, 2019
「International Workshop on Nonlinear PDEs 2018 in Okayama - In honor of Professor Ryuji Kajikiya on his sixtieth birthday - 」Organizing Comitee

Planner, Logistic support

Satoshi Tanaka, Masakazu Onitsuka, Yuki Naito, Eiji Yanagida, Dec 13, 2018 - Dec 15, 2018
研究集会「第五回 ODE 若手セミナー」世話人

Planner, Logistic support

岐阜大学サテライトキャンパス, Dec 5, 2018 - Dec 6, 2018
RIMS 研究集会「常微分方程式の定性的理論および数理モデル研究への応用」副代表者

Planner, Logistic support

若狭徹、田中敏、松永秀章, 京都大学数理解析研究所, Nov 12, 2018 - Nov 14, 2018

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