Updated on 2024/03/07

写真a

 
YAMAOKA Naoto
 
Organization
Graduate School of Science Department of Mathematics Associate Professor
School of Science Department of Mathematics
Title
Associate Professor
Affiliation
Institute of Science
Affiliation campus
Nakamozu Campus

Position

  • Graduate School of Science Department of Mathematics 

    Associate Professor  2022.04 - Now

  • School of Science Department of Mathematics 

    Associate Professor  2022.04 - Now

Degree

  • 博士(理学) ( Others )

Research Areas

  • Natural Science / Mathematical analysis  / Functional Equations

  • Natural Science / Mathematical analysis

Research Interests

  • 関数方程式

  • Oscillation theory

  • Ordinary differential equations

  • Qualitative Theory of functional equations

Professional Memberships

  • The Mathematical Society of Japan

    2003.10 - Now   Domestic

  • 日本数学会

Job Career (off-campus)

  • Osaka Metropolitan University   Graduate School of Science

    2022.04 - Now

  • Osaka Prefecture University   Graduate School of Science

    2018.04 - 2022.03

Papers

  • Oscillation and nonoscillation theorems for Meissner's equation Reviewed

    Yusuke Yamanaka, Naoto Yamaoka

    Appl. Math. Comput. 雑誌   388 ( 1 )   2021.01

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    Kind of work:Joint Work  

  • Oscillation and nonoscillation theorems for Meissner’s equation Reviewed

    Yusuke Yamanaka, Naoto Yamaoka

    Applied Mathematics and Computation   388   125526 - 125526   2021.01( ISSN:0096-3003

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.amc.2020.125526

  • Applications of iterated logarithm functions on time scales to Riemann-Weber-type equations Reviewed

    Baku Ito, Pavel Řehák, and Naoto Yamaoka

    Proc. Amer. Math. Soc. 雑誌   148 ( 4 )   1611 - 1624   2020.04

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    Kind of work:Joint Work  

  • Applications of iterated logarithm functions on time scales to Riemann-Weber-type equations Reviewed

    Naoto Yamaoka, Pavel Rehak, Baku Ito

    Proc. Amer. Math. Soc.   148 ( 4 )   1611 - 1624   2020.04

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)  

  • Oscillation constants for second-order nonlinear dynamic equations on time scales

    N. Yamaoka

    数理解析研究所講究録 雑誌   ( 2122 )   2019.07

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    Kind of work:Single Work  

  • Oscillation constants for Euler type differential equations involving the p(t)-Laplacian Reviewed

    K. Fujimoto, N. Yamaoka

    J. Math. Anal. Appl. 雑誌   ( 470 )   2019.02

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    Kind of work:Joint Work  

  • Oscillation constants for Euler type differential equations involving the p(t)-Laplacian Reviewed

    K. Fujimoto, N. Yamaoka

    J. Math. Anal. Appl.   470 ( 2 )   1238 - 1250   2019.02( ISSN:0022-247X ( eISSN:1096-0813

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    Publishing type:Research paper (scientific journal)  

    © 2018 Elsevier Inc. This paper deals with the oscillation problem for the nonlinear differential equation (|x′|p(t)−2x′)′+[Formula presented]|x|p(t)−2x=0, where λ is a positive parameter and p(t)>1 is a nondecreasing and smooth function. Some (non)oscillation criteria are given for this equation. The obtained results are the best possible in a certain sense. We use the Riccati technique and the function sequence technique. Moreover, we propose a conjecture concerning the oscillation problem for this equation in the case when p(t) tends to infinity as t→∞.

    DOI: 10.1016/j.jmaa.2018.10.063

  • Oscillation and nonoscillation criteria for second-order nonlinear difference equations of Euler type Reviewed

    N. Yamaoka

    Proc. Amer. Math. Soc. 雑誌   146 ( 5 )   2069 - 2081   2018.05

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    Kind of work:Single Work  

  • Comparison theorems for second-order damped nonlinear differential equations Reviewed

    N. Yamaoka

    Springer Proc. Math. Stat. 雑誌   ( 230 )   2018

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    Kind of work:Single Work  

  • Existence and nonexistence of limit cycles for Liénard-type equations with bounded nonlinearities and φ-Laplacian Reviewed

    K. Fujimoto and N. Yamaoka

    Communications in Contemporary Mathematics 雑誌   19 ( 1650057 )   2017.12

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    Kind of work:Joint Work  

  • Oscillation constants for second-order nonlinear dynamic equations of Euler type on time scales Reviewed

    P. Řehák and N. Yamaoka

    Journal of Difference Equations and Applications 雑誌   23 ( 11 )   1884 - 1900   2017.11

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    Kind of work:Joint Work  

  • General solutions of second-order linear difference equations of Euler type Reviewed

    A. Hongyo and N. Yamaoka

    Opuscula Mathematica 雑誌   37   389 - 402   2017.05

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    Kind of work:Joint Work  

  • Oscillation constants for second-order nonlinear differential equations with p-Laplacian

    N. Yamaoka

    数理解析研究所講究録 雑誌   1959   55 - 73   2015.07

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    Kind of work:Single Work  

  • Oscillation constants for second-order ordinary differential equations related to elliptic equations with p-Laplacian Reviewed

    O. Došlý and N. Yamaoka

    Nonlinear Anal. 雑誌   113   115 - 136   2015.01

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    Kind of work:Joint Work  

  • Global existence and nonexistence of solutions for second-order nonlinear differential equations Reviewed

    K. Fujimoto and N. Yamaoka

    J. Math. Anal. Appl. 雑誌   411 ( 2 )   707 - 718   2014.03

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    Kind of work:Joint Work  

  • Oscillation criteria for second-order nonlinear difference equations of Euler type Reviewed

    N. Yamaoka

    Adv. in Difference Equ. 雑誌   2012 ( 218 )   2012.12

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    Kind of work:Single Work  

  • Oscillation theorems for second-order nonlinear difference equations of Euler type

    N. Yamaoka

    数理解析研究所講究録 雑誌   1750   8 - 16   2011.07

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    Kind of work:Single Work  

  • A comparison theorem and oscillation criteria for second-order nonlinear differential equations Reviewed

    N. Yamaoka

    Appl. Math. Lett. 雑誌   23 ( 8 )   902 - 906   2010.08

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    Kind of work:Single Work  

  • A nonoscillation theorem for half-linear differential equations with delay nonlinear perturbations Reviewed

    N. Yamaoka

    Differ. Equ. Appl. 雑誌   1 ( 2 )   209 - 217   2009.05

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    Kind of work:Single Work  

  • Oscillation criteria for second-order damped nonlinear differential equations with p-Laplacian Reviewed

    N. Yamaoka

    J. Math. Anal. Appl. 雑誌   325 ( 2 )   932 - 948   2007.01

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    Kind of work:Single Work  

  • Multilayer structures of second-order linear differential equations of Euler type and their application to nonlinear oscillations Reviewed

    N. Yamaoka and J. Sugie

    Ukrainian Math. J. 雑誌   58   1935 - 1949   2006

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    Kind of work:Joint Work  

  • Comparison theorems for oscillation of second-order half-linear differential equations Reviewed

    J. Sugie and N. Yamaoka

    Acta Math. Hungar. 雑誌   111   165 - 179   2006

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    Kind of work:Joint Work  

  • Oscillation caused by delay perturbation in half-linear differential equations Reviewed

    N. Yamaoka and J. Sugie

    Dynam. Systems Appl. 雑誌   14   365 - 380   2005

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    Kind of work:Joint Work  

  • Growth conditions for oscillation of nonlinear differential equations with p-Laplacian Reviewed

    J. Sugie and N. Yamaoka

    J. Math. Anal. Appl. 雑誌   306   18 - 34   2005

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    Kind of work:Joint Work  

  • Influence of nonlinear perturbed terms on the oscillation of elliptic equations Reviewed

    N. Yamaoka and J. Sugie

    Proc. Amer. Math. Soc. 雑誌   132   2281 - 2290   2004

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    Kind of work:Joint Work  

  • Oscillation of solutions of second-order nonlinear self-adjoint differential equations Reviewed

    J. Sugie and N. Yamaoka

    J. Math. Anal. Appl. 雑誌   291   387 - 405   2004

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    Kind of work:Joint Work  

  • Applications of phase plane analysis of a Liénard system to positive solutions of Schrödinger equations Reviewed

    J. Sugie and N. Yamaoka

    Proc. Amer. Math. Soc. 雑誌   131   501 - 509   2003

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    Kind of work:Joint Work  

  • Decaying positive solutions of quasilinear elliptic equations in exterior domains in R^2 Reviewed

    J. Sugie and N. Yamaoka

    J. Math. Anal. Appl. 雑誌   275   288 - 311   2002

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    Kind of work:Joint Work  

  • An infinite sequence of nonoscillation theorems for second order nonlinear differential equations of Euler type Reviewed

    J. Sugie and N. Yamaoka

    Nonlinear Anal. 雑誌   50   373 - 388   2002

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    Kind of work:Joint Work  

  • Oscillation constant of second-order non-linear self-adjoint differential equations Reviewed

    J. Sugie, K. Kita and N. Yamaoka

    Ann. Mat. Pura Appl. (4) 雑誌   181   309 - 337   2002

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    Kind of work:Joint Work  

  • Nonoscillation theorems for a nonlinear self-adjoint differential equation Reviewed

    J. Sugie, N. Yamaoka and Y. Obata

    Nonlinear Anal. 雑誌   47   4433 - 4444   2001

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    Kind of work:Joint Work  

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MISC

  • Oscillation constants for second-order nonlinear dynamic equations on time scales

    N. Yamaoka

    Kôkyûroku   2122   26 - 36   2019.07

Presentations

  • Asymptotic behavior of solutions of two-region dynamic Dixit-Stiglitz-Krugman model with the discrete-time variable International conference

    N. Yamaoka

    28th International Conference on Difference Equations and Applications  2023.07 

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    Presentation type:Oral presentation (general)  

    Venue:Phitsanulok, Thailand  

  • 核-周辺モデルにおける離散型レプリケータ方程式の解の漸近挙動について Invited Domestic conference

    山岡直人

    RIMS共同研究(公開型)「常微分方程式の定性的理論とその応用」  2021.11 

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    Presentation type:Poster presentation  

  • 不連続な周期係数をもつ2階線形微分方程式の振動定数について Domestic conference

    山岡直人

    RIMS共同研究「非線形問題への常微分方程式の手法によるアプローチ」  2021.03 

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    Presentation type:Poster presentation  

Grant-in-Aid for Scientific Research

  • Oscillation and instability of solutions of a spatial economic model caused by delay

    Grant-in-Aid for Scientific Research(C)  2024

  • 時間遅れが引き起こす空間経済モデルの解の振動性と不安定性

    Grant-in-Aid for Scientific Research(C)  2023

  • 時間遅れが引き起こす空間経済モデルの解の振動性と不安定性

    Grant-in-Aid for Scientific Research(C)  2022

  • 時間遅れが引き起こす空間経済モデルの解の振動性と不安定性

    Grant-in-Aid for Scientific Research(C)  2021

Charge of on-campus class subject

  • 数学特別研究1A

    2024   Intensive lecture   Graduate school

  • 数学概論B

    2024   Weekly class   Graduate school

  • 数学特別研究2A

    2024   Intensive lecture   Graduate school

  • 数学特別研究5A

    2024   Intensive lecture   Graduate school

  • 数学特別研究4A

    2024   Intensive lecture   Graduate school

  • 数学特別研究3A

    2024   Intensive lecture   Graduate school

  • 応用数理シミュレーション演習

    2024   Weekly class   Undergraduate

  • 解析学演習I

    2024   Weekly class   Undergraduate

  • 常微分方程式

    2024   Weekly class   Graduate school

  • 常微分方程式

    2024   Weekly class   Graduate school

  • Special Topics in Mathematical Systems Engineering A

    2021    

  • Calculus I

    2021    

  • Introduction to Programming

    2021    

  • Introduction to Life, Environment, and Advanced Sciences

    2021    

  • Exercise in Mathematical Analysis I

    2021    

  • Numerical Analysis

    2021    

  • Mathematical Analysis I

    2021    

  • Ordinary Differential Equations

    2021    

  • Ordinary Differential Equations

    2021    

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Number of instructed thesis, researches

  • 2023

    Number of instructed the graduation thesis:

    [Number of instructed the Master's Program] (previous term):

    [Number of master's thesis reviews] (vice-chief):1

Social Activities ⇒ Link to the list of Social Activities

  • 「なかもず解析セミナー」世話人

    Role(s): Planner, Logistic support

    壁谷 喜継、川上 竜樹、菅 徹、黒田 紘敏、谷川 智幸、藤本 皓大、松永 秀章、山岡 直人  2012.04 - 2022.03