Research keywords (5):
box-counting dimension
, elliptic differential equation
, bifurcation
, boundary value problem
, ordinary differential equation
Research theme for competitive and other funds (13):
2022 - 2024 Nonlinear Elliptic Equations and Its Applications
2019 - 2022 2点境界値問題の解の厳密な個数と分岐現象
2017 - 2022 Analysis of singular nonlinear structure in dissipative systems
2020 - 2022 International Workshop on Nonlinear Elliptic Equations and Its Applications
2014 - 2019 The number of solutions and the length and the fractal dimension of oscillatory solutions of two point boundary problems
2011 - 2013 The number of nonoscillatory solutions and the length and the fractal dimension for two-point boundary value problems
2010 - 2012 Study of the solution semigroup for integral equations and related topics
2008 - 2010 A study on the number of sign-changing solutions of two-point boundary value problems and its application
2007 - 2009 Study of stability properties for positive linear equations with delay and related topics
2007 - 2008 Oscillation theory and singular boundary value problems for higher-order ordinary differential equations
2005 - 2007 Self-similar structure and singularity of solutions for nonlinear parabolic partial differential equations
2004 - 2006 Formal adjoint equation for equations with time delay and its applications
2002 - 2004 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
Show all
Papers (54):
Marta García-Huidobro, Raúl Manásevich, Jean Mawhin, Satoshi Tanaka. Two point boundary value problems for ordinary differential systems with generalized variable exponents operators. Nonlinear Analysis: Real World Applications. 2025. 81. 104196-104196
Masakazu Onitsuka, Satoshi Tanaka. Influence of nonlinearity to box-counting dimensions of spiral orbits for two-dimensional differential systems. Bulletin des Sciences Mathématiques. 2024. 192. 103417-103417
Ryuji Kajikiya, Mieko Tanaka, Satoshi Tanaka. Asymptotic behavior and monotonicity of radial eigenvalues for the p-Laplacian. Journal of Differential Equations. 2024. 387. 5. 496-531
M. García-Huidobro, R. Manásevich, J. Mawhin, S. Tanaka. Periodic solutions for nonlinear systems of Ode's with generalized variable exponents operators. Journal of Differential Equations. 2024. 388. 34-58
Raul Manasevich, Satoshi Tanaka. An eigenvalue problem for a variable exponent problem, via topological degree. Discrete and Continuous Dynamical Systems. 2023
田中 敏. Symmetry-breaking bifurcation of positive solutions to a one-dimensional Liouville type equation. 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」. 2016. 1993. 100-106
Tanaka Satoshi. 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). RIMS Kokyuroku. 2011. 1750. 70-76
Tanaka Satoshi. On the uniqueness and nonuniqueness of nodal radial solutions of sublinear elliptic equations in a ball (Dynamics of Functional Equations and Mathematical Models). RIMS Kokyuroku. 2009. 1637. 39-46
田中 敏. An identity for a quasilinear ordinary differential equation and its applications. 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」. 2008. 1582. 18-22
Satoshi Tanaka. On the uniqueness of nodal radial solutions of superlinear elliptic equations in a ball. RIMS Kokyuroku. 2007. 1547. 120-124
Uniqueness and multiplicity of positive solutions to the scalar-field equation on large annuli in the three-dimensional unit sphere
(13th Americas Conference on Diff. Equations and Nonlinear Analysis and ICMC Summer Meeting on Differ- ential Equations - 2023 Chapter 2023)
2007/05 - 現在 アメリカ数学会 Reviewer for Mathematical Reviews
2024/03 - 2025/02 雑誌「数学通信」, 非常任編集委員
2024/03 - 2025/02 日本数学会東北支部, 代議員
2023/03 - 2024/02 雑誌「数学通信」 常任編集委員
2023/03 - 2024/02 日本数学会東北支部 評議員
2016/03 - 2017/02 日本数学会 2016年度地方区代議員
2015/10 - 2015/12 FONDECYT FONDECYT Regular 2016 grant competition 審査員
2013/02 - 2013/05 Croatian Science Foundation Croatian Science Foundation 審査員
Show all
Awards (1):
2013/12 - Division of Functional Equations, The Mathematical Society of Japan 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