Updated on 2024/04/01

写真a

 
Matsunaga Hideaki
 
Organization
Graduate School of Science Department of Mathematics Professor
School of Science Department of Mathematics
Title
Professor
Affiliation
Institute of Science
Affiliation campus
Nakamozu Campus

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(工学) ( Others )

Research Areas

  • Natural Science / Basic analysis  / Functional Equations

Research subject summary

  • 時間遅れをもつ差分方程式の定性的研究

  • 時間遅れをもつ微分方程式の定性的研究

Research Career

  • 時間遅れをもつ差分方程式の定性的研究

    差分方程式、時間遅れ 

    1999 - Now 

  • 時間遅れをもつ微分方程式の定性的研究

    微分方程式、時間遅れ 

    1998 - Now 

Professional Memberships

  • 日本数学会

    2002.10 - Now

Papers

  • Delay-dependent stability switches in a delay differential system Reviewed

    Y. Hata, H. Matsunaga

    Discrete Contin. Dyn. Syst. Ser. B   28 ( 9 )   4910 - 4936   2023.09

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.3934/dcdsb.2023047

  • Exponential stability and asymptotic periodic solutions of linear integral equations with two delays Reviewed

    A. Kawano, H. Matsunaga

    J. Dynam. Differential Equations, Springer   35 ( 2 )   1309 - 1335   2023.06

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1007/s10884-021-09940-0

  • Delay-dependent stability conditions for fundamental characteristic functions Reviewed

    H. Matsunaga

    Arch. Math. (Brno)   59 ( 1 )   77 - 84   2023.04

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.5817/AM2023-1-77

  • A spectral theory of polynomially bounded sequences and applications to the asymptotic behavior of discrete systems Reviewed International coauthorship

    Nguyen Van Minh, H. Matsunaga, Nguyen Duc Huy, Vu Trong Luong

    Funkcial. Ekvac.   65 ( 3 )   261 - 285   2022.12

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1619/fesi.65.261

  • Stability switchers in a linear differential equation with two delays Reviewed

    Y. Hata, H. Matsunaga

    Opuscula Math.   42 ( 5 )   673 - 690   2022.10

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.7494/OpMath.2022.42.5.673

  • Oscillation and nonoscillation for nonlinear delay difference equations by phase plane analysis Reviewed

    P. Iwaasa, H. Matsunaga

    Qual. Theory Dyn. Syst., Springer   21 ( article120 )   1 - 21   2022.09

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1007/s12346-022-00652-4

  • A Massera theorem for asymptotic periodic solutions of periodic evolution equations Reviewed International coauthorship

    Vu Trong Luong, Do Van Loi, Nguyen Van Minh, H. Matsunaga

    J. Differential Equations, Elsevier Science   329   371 - 394   2022.08

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1016/j.jde.2022.05.010

  • A Katznelson-Tzafriri type theorem for difference equations and applications Reviewed International coauthorship

    Nguyen Van Minh, H. Matsunaga, Huy Duc Nguyen, Vu Trong Luong

    Proc. Amer. Math. Soc.   150 ( 3 )   1105 - 1114   2022.04

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1090/proc/15722

  • The limits of solutions of a linear delay integral equation Reviewed

    K. Himoto, H. Matsunaga

    Discrete Contin. Dyn. Syst. Ser. B.   25 ( 8 )   3033 - 3048   2020.08

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.3934/dcdsb.2020050

  • Oscillation criteria for a difference system with two delays Reviewed

    P. Doi, H. Matsunaga

    Springer Proceedings in Mathematics & Statistics   230   285 - 292   2018.12

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    Authorship:Corresponding author   Publishing type:Research paper (international conference proceedings)   International / domestic magazine:International journal  

    DOI: 10.1007/978-3-319-75647-9_23

  • Classification of global behavior of a system of rational difference equations Reviewed

    H. Matsunaga, R. Suzuki

    Appl. Math. Lett., Elsevier Science   85 ( 10 )   57 - 63   2018.11

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1016/j.aml.2018.05.020

  • On stability and stabilization of some discrete dynamical systems Reviewed International coauthorship

    J. Cermak, J. Jansky, H. Matsunaga

    Math. Methods Appl. Sci.   41 ( 10 )   3684 - 3695   2018.10

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    Publishing type:Research paper (scientific journal)   International / domestic magazine:International journal  

    DOI: 10.1002/mma.4855

  • Asymptotic representation of solutions of linear autonomous difference equations Reviewed

    H. Matsunaga

    Springer Proceedings in Mathematics & Statistics   180   191 - 199   2016.08

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    Authorship:Corresponding author   Publishing type:Research paper (international conference proceedings)   Kind of work:Single Work   International / domestic magazine:International journal  

    DOI: 10.1007/978-3-662-52927-0_15

  • Center manifold theorem and stability for integral equations with infinite delay Reviewed International coauthorship

    H. Matsunaga, S. Murakami, Y. Nagabuchi, N. V. Minh

    Funkcial. Ekvac.   58 ( 1 )   87 - 134   2015.04

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1619/fesi.58.87

  • Formal adjoint operators and asymptotic formula for solutions of autonomous linear integral equations Reviewed

    H. Matsunaga, S. Murakami, Y. Nagabuchi

    J. Math. Anal. Appl., Elsevier Science   410 ( 2 )   807 - 826   2014.02

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1016/j.jmaa.2013.08.035

  • Decomposition and variation-of-constants formula in the phase space for integral equations Reviewed International coauthorship

    H. Matsunaga, S. Murakami, N. V. Minh

    Funkcial. Ekvac.   55 ( 3 )   479 - 520   2012.12

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1619/fesi.55.479

  • Effect of off-diagonal delay on the asymptotic stability for an integro-differential system Reviewed

    H. Matsunaga and M. Suzuki

    Appl. Math. Lett., Elsevier Science   25 ( 11 )   1744 - 1749   2012.11

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1016/j.aml.2012.02.004

  • Formal adjoint equations and asymptotic formula for solutions of Volterra difference equations with infinite delay Reviewed

    H. Matsunaga, S. Murakami, Y. Nagabuchi, Y. Nakano

    J. Difference Equ. Appl., Taylor & Francis   18 ( 1 )   57 - 88   2012.01

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1080/10236198.2011.575070

  • Asymptotic stability and stability switches in a linear integro-differential system Reviewed

    H. Matsunaga, H. Hashimoto

    Differential Equations Appl.   3 ( 1 )   43 - 55   2011.02

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: doi.org/10.7153/dea-03-04

  • Exact stability sets for a linear difference system with diagonal delay Reviewed

    H. Matsunaga, C. Hajiri

    J. Math. Anal. Appl., Elsevier Science   369 ( 2 )   616 - 622   2010.09

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1016/j.jmaa.2010.03.062

  • Stability criteria for a class of linear differential equations with off-diagonal delays Reviewed

    M. Suzuki, H. Matsunaga

    Discrete Contin. Dyn. Syst.   24 ( 4 )   1381 - 1391   2009.08

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.3934/dcds.2009.24.1381

  • Asymptotic stability conditions for a delay difference system Reviewed

    F. Kawahigashi, H. Matsunaga

    Adv. Stud. Pure Math.   53   141 - 149   2009.08

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    Authorship:Corresponding author   Publishing type:Research paper (international conference proceedings)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.2969/aspm/05310141

  • Global behavior of a two-dimensional monotone difference system Reviewed

    M. Inoue, H. Matsunaga

    Adv. Stud. Pure Math.   53   129 - 139   2009.08

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    Authorship:Corresponding author   Publishing type:Research paper (international conference proceedings)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.2969/aspm/05310129

  • Stability switches in a system of linear differential equations with diagonal delay Reviewed

    H. Matsunaga

    Appl. Math. Comput., Elsevier Science   212 ( 1 )   145 - 152   2009.06

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

    DOI: 10.1016/j.amc.2009.02.010

  • Delay-dependent and delay-independent stability criteria for a delay differential system Reviewed

    H. Matsunaga

    Proc. Amer. Math. Soc.   136 ( 12 )   4305 - 4312   2008.12

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

    DOI: 10.1090/S0002-9939-08-09396-9

  • Perron type theorems for functional differential equations with infinite delay in a Banach space Reviewed

    K. Matsui, H. Matsunaga, S. Murakami

    Nonlinear Anal., Elsevier Science   69 ( 11 )   3821 - 3837   2008.11

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1016/j.na.2007.10.017

  • The limits of the solutions of a linear delay difference system Reviewed

    H. Matsunaga

    Difference Equations, Special Functions and Orthogonal Polynomials   404 - 411   2007.08

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    Authorship:Corresponding author   Publishing type:Research paper (international conference proceedings)   Kind of work:Single Work   International / domestic magazine:International journal  

    DOI: 10.1142/9789812770752_0034

  • Global attractivity for a nonlinear differential equation with unbounded delay Reviewed

    H. Matsunaga

    Inter. J. Qualitative Theory Differential Equations Appl.   1 ( 1 )   1 - 7   2007.06

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

  • Exact stability criteria for delay differential and difference equations Reviewed

    H. Matsunaga

    Appl. Math. Lett., Elsevier Science   20 ( 2 )   183 - 188   2007.02

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

    DOI: doi.org/10.1016/j.aml.2006.03.012

  • A note on asymptotic stability of delay difference systems Reviewed

    H. Matsunaga

    J. Inequal. Appl.   2005 ( 2 )   119 - 125   2005.06

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    Authorship:Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Single Work   International / domestic magazine:International journal  

    DOI: doi.org/10.1155/JIA.2005.119

  • Asymptotic behavior of solutions of functional difference equations Reviewed

    H. Matsunaga, S. Murakami

    J. Math. Anal. Appl., Elsevier Science   305 ( 2 )   391 - 410   2005.05

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1016/j.jmaa.2004.10.065

  • Stability regions for a class of delay difference systems Reviewed

    H. Matsunaga

    Fields Institute Communications, American Mathematical Society   42   273 - 283   2004.08

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    Authorship:Corresponding author   Publishing type:Research paper (international conference proceedings)   Kind of work:Single Work   International / domestic magazine:International journal  

  • Some invariant manifolds for functional difference equations with infinite delay Reviewed

    H. Matsunaga, S. Murakami

    J. Difference Equ. Appl., Taylor & Francis   10 ( 7 )   661 - 689   2004.07

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1080/10236190410001685021

  • Asymptotic behavior of a system of higher order linear difference equations Reviewed

    H. Matsunaga, R. Ogita, K. Murakami

    Nonlinear Anal., Pergamon Elsevier Science   47 ( 7 )   4667 - 4677   2001.08

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    Authorship:Lead author, Corresponding author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1016/S0362-546X(01)00579-X

  • Global attractivity for a nonlinear difference equation with variable delay Reviewed

    H. Matsunaga, T. Hara, S. Sakata

    Comput. Math. Appl., Pergamon Elsevier Science   41 ( 5-6 )   543 - 551   2001.05

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1016/S0898-1221(00)00297-2

  • Global attractivity for a logistic equation with piecewise constant argument Reviewed

    H. Matsunaga, T. Hara, S. Sakata

    Nonlinear Differential Equations Appl., Birkhauser Verlag   8 ( 1 )   45 - 52   2001.03

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1007/PL00001438

  • Asymptotic stability condition for a class of linear delay difference equations of higher order Reviewed

    R. Ogita, H. Matsunaga, T. Hara

    J. Math. Anal. Appl., Academic Press Elsevier Science   248 ( 1 )   83 - 96   2000.08

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1006/jmaa.2000.6868

  • The asymptotic stability of a two-dimensional linear delay difference equation Reviewed

    H. Matsunaga, T. Hara

    Dynam. Contin. Discrete Impuls. Systems, Watam Press   6 ( 4 )   465 - 473   1999.12

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

  • Global attractivity results for nonlinear delay differential equations Reviewed

    H. Matsunaga, R. Miyazaki, T. Hara

    J. Math. Anal. Appl., Academic Press Elsevier Science   234 ( 1 )   77 - 90   1999.06

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    Authorship:Lead author   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1006/jmaa.1999.6325

  • On global asymptotic stability of systems of Lienard type Reviewed

    J. Sugie, D.-L. Chen, H. Matsunaga

    J. Math. Anal. Appl., Academic Press Elsevier Science   219 ( 1 )   140 - 164   1998.03

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    Publishing type:Research paper (scientific journal)   Kind of work:Joint Work   International / domestic magazine:International journal  

    DOI: 10.1006/jmaa.1997.5773

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Books and Other Publications

  • 常微分方程式入門 第3版

    原惟行,松永秀章( Role: Joint author)

    共立出版  2018.02  ( ISBN:978-4-320-11335-0

  • 複素解析入門 第2版

    原惟行,松永秀章( Role: Joint author)

    共立出版  2014.12  ( ISBN:978-4-320-11090-8

  • 常微分方程式入門 第2版

    原惟行,松永秀章( Role: Joint author)

    共立出版  2013.03  ( ISBN:978-4-320-11036-6

  • イプシロン・デルタ論法 完全攻略

    原惟行,松永秀章( Role: Joint author)

    共立出版  2011.12  ( ISBN:978-4-320-11012-0

  • 常微分方程式入門

    原惟行,松永秀章( Role: Joint author)

    共立出版  2009.11  ( ISBN:978-4-320-01911-9

  • 複素解析入門

    原惟行,松永秀章( Role: Joint author)

    共立出版  2007.10  ( ISBN:978-4-320-01845-7

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Outline of collaborative research (seeds)

  • 時間遅れをもつ方程式の数理モデルへの応用

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    時間遅れをもつ微分方程式および差分方程式で得られた結果を数理生態学等に現れる具体的な数理モデルに適用し新しい成果を導く

Grant-in-Aid for Scientific Research

  • 時間遅れが差分方程式の解の漸近的性質に及ぼす影響

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

  • 時間遅れが差分方程式の解の漸近的性質に及ぼす影響

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

  • 時間遅れが差分方程式の解の漸近的性質に及ぼす影響

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

  • 時間遅れが差分方程式の解の漸近的性質に及ぼす影響

    Grant-in-Aid for Scientific Research(C)  2020

  • 時間遅れが差分方程式の解の漸近的性質に及ぼす影響

    Grant-in-Aid for Scientific Research(C)  2019

  • 時間遅れをもつ積分方程式の定性理論の構築とその応用

    Grant-in-Aid for Scientific Research(C)  2017

  • 時間遅れをもつ積分方程式の定性理論の構築とその応用

    Grant-in-Aid for Scientific Research(C)  2016

  • 時間遅れをもつ積分方程式の定性理論の構築とその応用

    Grant-in-Aid for Scientific Research(C)  2015

  • 時間遅れをもつ積分方程式の定性理論の構築とその応用

    Grant-in-Aid for Scientific Research(C)  2014

  • 時間遅れをもつ方程式の解の漸近的性質とスペクトル解析

    Grant-in-Aid for Young Scientists(B)  2011

  • 時間遅れをもつ方程式の解の漸近的性質とスペクトル解析

    Grant-in-Aid for Young Scientists(B)  2011

  • 時間遅れをもつ方程式の解の漸近的性質とスペクトル解析

    Grant-in-Aid for Young Scientists(S)  2010

  • 時間遅れをもつ方程式の解の漸近的性質とスペクトル解析

    Grant-in-Aid for Young Scientists(B)  2009

  • 時間遅れをもつ方程式の解の大域的性質とスペクトル解析

    Grant-in-Aid for Young Scientists(B)  2008

  • 時間遅れをもつ方程式の解の大域的性質とスペクトル解析

    Grant-in-Aid for Young Scientists(B)  2007

  • 時間遅れをもつ方程式の解の漸近的性質に関する研究

    Grant-in-Aid for Young Scientists(B)  2005

  • 時間遅れをもつ方程式の解の漸近的性質に関する研究

    Grant-in-Aid for Young Scientists(B)  2004

  • 時間遅れをもつ方程式の解の漸近的性質に関する研究

    Grant-in-Aid for Young Scientists(B)  2003

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Charge of on-campus class subject

  • 常微分方程式

    2023     Undergraduate

  • 関数方程式論I

    2023     Undergraduate

  • 生命環境科学概論

    2023     Undergraduate

  • 複素解析

    2023     Undergraduate

  • 複素解析

    2023     Undergraduate

  • 解析学基礎演習

    2022     Undergraduate

  • 関数方程式論I

    2022     Undergraduate

  • 差分方程式特論

    2022     Graduate school

  • 生命環境科学概論

    2022     Undergraduate

  • 複素解析

    2022     Undergraduate

  • 複素解析

    2022     Undergraduate

  • Practicum in Applied Analysis

    2021     Undergraduate

  • Special Topics in Mathematical Systems Engineering A

    2021     Undergraduate

  • Calculus I

    2021     Undergraduate

  • Introduction to Life, Environment, and Advanced Sciences

    2021     Undergraduate

  • Complex Analysis

    2021     Undergraduate

  • Complex Analysis

    2021     Undergraduate

  • Functional Equations I

    2021     Undergraduate

  • Exercises in Calculus

    2021     Undergraduate

  • Exercises in Calculus

    2021     Undergraduate

  • Difference Equations

    2021     Graduate school

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Social Activities

  • SSH研究指導セミナー(富田林高等学校数学科)

    Role(s): Consultant

    2022.08

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    Type:Research consultation

    Number of participants:12(人)

  • 高大連携事業 Professor's Seminar(堺高等学校) 計算力と論理力について

    2021.04 - 2022.03

  • 高大連携事業 Professor's Seminar(堺高等学校) 計算力と論理力について

    2020.04 - 2021.03

  • 高校内ガイダンス・模擬授業(夕陽丘高等学校) 計算力と論理力について

    2019.04 - 2020.03

  • 高校内ガイダンス・模擬授業(北千里高等学校) 計算力と論理力について

    2019.04 - 2020.03

  • 高校内ガイダンス・模擬授業(夕陽丘高等学校) 計算力と論理力について

    2018.04 - 2019.03

  • 高大連携事業 Professor's Seminar(堺高等学校) 計算力と論理力について

    2018.04 - 2019.03

  • 夢ナビライブ2018・学問の講義ライブ 考える数学~問題に潜む論理を見抜け

    2018.04 - 2019.03

  • SGHアソシエイト特別講演(信愛高等学校) 計算力と論理力

    2016.04 - 2017.03

  • 高大連携講座・工学研究の最先端 古くて新しい常微分方程式-時間遅れをもつ微分方程式の紹介-

    2015.04 - 2016.03

  • 集中セミナー・出張講義(大手前高等学校) 数列をグラフで調べてみようー非線形による単純性と複雑美

    2015.04 - 2016.03

  • SSH大学訪問研修(泉北高等学校) 平方根の近似計算について

    2014.04 - 2015.03

  • 大学見学・体験授業(信愛高等学校) 三角比の近似計算について

    2014.04 - 2015.03

  • SSH第1回先端科学講座(向陽高等学校) 平方根と三角比の近似計算について

    2013.04 - 2014.03

  • SSH第2回先端科学講座(向陽高等学校) 平方根と三角比の近似計算について

    2013.04 - 2014.03

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Visiting Lectures ⇒ Link to the list of Visiting Lectures

  • 計算力と論理力

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

     More details

    Audience:High school students

    Keyword:数学、四則演算、長方形の面積、円周の長さ 

    小学校における算数・数学は「数える」ことから始まり、ものさしを使って長さを「測る」ことや分度器で角度を「測る」ことを習います。それが中学や高校で学ぶ数学が関数や方程式になったとたん、急に難しくなり、数学が苦手になってしまった方もいるかもしれません。この授業では、数えたり測ったりすることを復習しながら、その背景に潜む論理や数学の楽しさについて分かりやすくお話します。

  • 平方根と三角比の近似計算

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

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    Audience:High school students

    Keyword:数学、平方根、三角比、三角関数 

    中学校で平方根を、高校1年で三角比を習ったと思います。例えば、ルート2を小数で表すと 1.41421356… になります。では、どのようにすればルート2が1.41421356… になることが分かるのでしょうか? 電卓では瞬時にルート2を計算してくれますが、その裏にはどのような仕組みがあるのでしょうか? 同じように、三角比の表はどのように作られたのでしょうか? この出前講義では平方根と三角比の近似計算について考えてみます。

  • 数列をグラフで調べてみよう-非線形による単純性と複雑美-

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

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    Audience:High school students

    Keyword:数学、数列、漸化式、極限値 

    高校の数列の単元で2項間の漸化式から数列の一般項を求める方法を習ったと思います。しかし、どんな漸化式からも一般項が必ず求められるとは限りません。この出前講義では、漸化式の形から数列の各項の値がどのように変化するのか、グラフを用いて図形的に調べる方法を紹介します。また、調べた数列の性質を数学的に厳密に証明することも考えてみます。