NAITO TOSHIKI

Emeritus Professor etc.Emeritus Professor
  • Profile:
    1969-1985 Fundamental theory of differential equations with infinite delay on finite dimensional space

    1986-1998 Funcamental theory of differential equations with infinite delay on infinite dimensional space

    1999-2002 Study of functional differential equations by using operator analysis

    2003-2005 Study of differential equations by using differece equations
Researcher Information

Degree

  • Master of Science, The University of Tokyo
  • doctor of science, The University of Tokyo

Career

  • Jan. 1989
    電気通信大学電気通信学部, 教授
  • Nov. 1976
    電気通信大学電気通信学部, 助教授
  • Apr. 1969
    東北大学理学部, 助手

Educational Background

  • Mar. 1969
    The University of Tokyo, Graduate School, Division of Natural Science, 数学専攻
  • Mar. 1967
    The University of Tokyo, Faculty of Science, 数学科
Research Activity Information

Paper

  • Periodic solutions of difference equations
    Tetsuo Furumochi; Toshiki Naito
    Nonlinear Analysis, Theory, Methods & Applications, 71, 12, 2217-2222, Dec. 2009, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Delayed Feedback 方程式とその性質
    宮崎倫子; 内藤敏機; 申正善
    RIMS Kokyuroku 1637, 数理解析研究所講究録 1637, 1637, 74-86, Apr. 2009
    Research institution, Japanese
  • Stability and robust stability of positive linear Volterra difference equations
    Pham Huu Anh Ngoc; Toshiki Naito; Jong Son Shin; Satoru Murakami
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 19, 5, 552-568, Mar. 2009, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Lyapunov exponents of solutions to linear differential equations with periodic forcing functions
    Toshiki Naito; Pham Huu Anh Ngoc; Jong Son Shin
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 342, 1, 349-353, Jun. 2008, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Representations and asymptotic behavior of solutions to periodic linear difference equations
    Toshiki Naito; Pharn Hun Anh Ngoc; Jong Son Shin
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 51, 1, 55-80, Apr. 2008, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Floquet representations and asymptotic behavior of solutions to periodic linear difference equations
    Toshiki Naito; Pham Huu Anh Ngoc; Jong Son Shin
    HIROSHIMA MATHEMATICAL JOURNAL, 38, 1, 135-154, Mar. 2008
    Scientific journal, English
  • On stability and robust stability of positive linear Volterra equations
    Pham Huu Anh Ngoc; Toshiki Naito; Jong Son Shin; Satoru Murakami
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 47, 2, 975-996, 2008, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Translation formulae and its applications
    内藤敏機; 申正善
    数理解析研究所講究録, 1582, 108-117, Nov. 2007
    Research institution, English
  • On stability of a class of positive linear functional difference equations
    Pham Huu Anh Ngoc; Toshiki Naito; Jong Son Shin
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 19, 4, 361-382, Nov. 2007, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Characterizations of positive linear Volterra integro-differential systems
    Toshiki Naito; Satoru Murakami; Jong Son Shin; Pham Huu Anh Ngoc
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 58, 2, 255-272, Jun. 2007, Peer-reviwed
    Scientific journal, English
    DOI URL
  • A representation of solutions for periodic linear difference equations
    内藤敏機; 申正善
    RIMS Kokyuroku, 1547, 59-67, Apr. 2007
    Research institution, English
  • Stability radius of linear parameter-varying systems and applications
    Pham Huu Anh Ngoc; Toshiki Naito
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 328, 1, 170-191, Apr. 2007, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Characterizations of positive linear functional differential equations
    Pham Huu Anh Ngoc; Toshiki Naito; Jong Son Shin
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 50, 1, 1-17, Apr. 2007, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Stability radii of higher order linear difference systems under multi-perturbations
    Pham Huu Anh Ngoc; Thai Bao Tran; Toshiki Naito
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 13, 1, 15-24, Jan. 2007, Peer-reviwed
    Scientific journal, English
    DOI URL
  • On periodicizing functions
    Toshiki Naito; Jong Son Shin
    Bull. Korean Math. Soc., 43, 2006, Peer-reviwed
    Scientific journal, English
  • Stability radii of positive linear functional differential systems in Banach spaces
    Pham Huu Anh Ngoc; Nguyen Van Minh; Toshiki Naito
    International J. of Evolution Equations, 2, 1, 2006, Peer-reviwed
    Scientific journal, English
  • A spectral countability condition for almost automorphy of solutions of differential equations
    Nguyen Van Minh; Toshiki Naito; Gaston Nguerekata
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134, 11, 3257-3266, 2006, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Global optimization problems in stability analysis of linear dynamical systems
    Pham Huu Anh Ngoc; Toshiki Naito; Jong Son Shin
    POSITIVE SYSTEMS, PROCEEDINGS, 341, 311-318, 2006, Peer-reviwed
    Scientific journal, English
    DOI URL
  • A characterization of solutions in linear differential equations with periodic forcing functions
    J Kato; T Naito; JS Shin
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 11, 1, 1-19, Jan. 2005, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Periodic solutions of evolution equations
    K Ezzinbi; T Naito; N Minh; J Liu
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 11, 5-6, 601-613, Oct. 2004, Peer-reviwed
    Scientific journal, English
  • On the Asymptotic Periodic Solutions of Abstract Functional Differential Equations
    Takeshi Nishikawa; Nguyen Van Minh; Toshiki Naito
    FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA, 47, 2, 307-327, Aug. 2004, Peer-reviwed
    Scientific journal, English
  • Massera's theorem for almost periodic solutions of functional differential equations
    S Murakami; T Naito; N Van Minh
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 56, 1, 247-268, Jan. 2004, Peer-reviwed
    Scientific journal, English
  • Massera criterion for abstract functional differential equations with advance and delay
    Takeshi Nishikawa; Nguyen Van Minh; Toshiki Naito
    Applicable Analysis, 83, 11, 1171-1185, 2004, Peer-reviwed
    English
  • Bounded and periodic solutions of infinite delay evolution equations
    J Liu; T Naito; N Van Minh
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 286, 2, 705-712, Oct. 2003, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Asymptotic properties and initial values of solutions to periodic linear equations
    Junji Kato; Toshiki Naito; Jong Son Shin
    数理解析研究所講究録 1309, 京都大学数理解析研究所, 1309, 100-107, 2003
    Research institution, English
  • Boundedness and almost periodicity of solutions of partial functional differential equations
    T Furumochi; T Naito; N Van Minh
    JOURNAL OF DIFFERENTIAL EQUATIONS, 180, 1, 125-152, Mar. 2002, Peer-reviwed
    Scientific journal, English
    DOI URL
  • A variation-of-constants formula for abstract functional differential equations in the phase space
    Y Hino; S Murakami; T Naito; N Van Minh
    JOURNAL OF DIFFERENTIAL EQUATIONS, 179, 1, 336-355, Feb. 2002, Peer-reviwed
    Scientific journal, English
    DOI URL
  • A Massera type theorem for functional differential equations with infinite delay
    Toshiki Naito; Nguyen Van Minh; Jong Son Shin
    Japanese Journal of Mathematics, 28, 1, 31-49, 2002, Peer-reviwed
    Scientific journal, English
    DOI URL
  • Existence of bounded solutions to lindear differential equations, (I)
    Tohiki Naito; Jong Son Shin
    数理解析研究所講究録, 1254, 64-72, 2002
    Research institution, English
  • Spectrum and (almost) periodic solutions of functional differential equations
    Toshiki Naito; Nguyen Van Minh; Jong Son Shin
    Springer, Vietnam Journal of Mathematics, 30, SI, 577-589, 2002, Peer-reviwed
    International conference proceedings, English
  • Bounded solutions and periodic solutions to linear differential equations in Banach spaces
    Junji Kato; Toshik Naito; Jong Son Shin
    Springer, Vietnam Journal of Mathematics, 30, SI, 561-575, 2002, Peer-reviwed
    International conference proceedings, English
  • Periodic and almost periodic solutions of functional differential equations with finite and infinite delay
    T Naito; N Van Minh; JS Shin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 47, 6, 3989-3999, Aug. 2001, Peer-reviwed
    Scientific journal, English
    DOI URL
  • New spectral criteria for almost periodic solutions of evolution equations
    T Naito; N Van Minh; JS Shin
    STUDIA MATHEMATICA, 145, 2, 97-111, 2001
    Scientific journal, English
  • Existence and uniqueness of periodic solutions to periodic linear functional differential equations with finite delay
    Jong Son Shin; Toshiki Naito; Nguyen Van Minh
    Funkcialaj Ekvacioj, 44, 53-71, 2001
    English
  • Periodic solutions of linear differential equatiions
    Toshiki Naito; Jong Song Shin; Nguyen Van Minh
    数理解析研究所講究録, 1216, 78-89, 2001
    Research institution, English
  • Boundedness and almost periodicity in dynamical systems
    T Naito; NV Minh; R Miyazaki; Y Hamaya
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 7, 4, 507-527, 2001, Peer-reviwed
    Scientific journal, English
  • Evolution semigroups and sums of commuting operators: A new approach to the admissibility theory of function spaces
    S Murakami; T Naito; N Van Minh
    JOURNAL OF DIFFERENTIAL EQUATIONS, 164, 2, 240-285, Jul. 2000
    Scientific journal, English
    DOI URL
  • Spectral analysis of an operator associated with linear functional differential equations and its applications
    Satoru Murakami; Toshiki Naito; Nguyen Van Minh
    EJQTDE, Prod. 6th coll. QTDE, 20, 1-15, 2000
    English
  • A decomposition theorem for bounded solutions and the existence of periodic solutions of periodic differential equations
    T Naito; N Van Minh; R Miyazaki; JS Shin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 160, 1, 263-282, Jan. 2000
    Scientific journal, English
    DOI URL
  • Uniqueness of periodic solutions to periodic functional differential equations with finite delay
    Toshiki Naito; Jong Son Shin
    RIMS kokyuroku,1128, 1128, 28-36, 2000
    Research institution, English
  • On the spectrum of some functional differential equations
    T Naito; N Van Minh; JS Shin
    SEMIGROUPS OF OPERATORS: THEORY AND APPLICATIONS, 42, 222-228, 2000
    International conference proceedings, English
  • On stability of linear autonomous functional differential equations
    Jong Son Shin; Toshi Naito; Nguyen Van Minh
    Funkcialaj Ekvacioj,43, 323-337, 2000
    English
  • Periodic solutions of linear differential equations
    Toshiki Naito; Jong; Song Shin; Nguyen Van Minh
    2000
    English
  • Existence and continuous dependence of mild solutions to semilinear functional differential equations in banach spaces
    JS Shin; T Naito
    TOHOKU MATHEMATICAL JOURNAL, 51, 4, 555-583, Dec. 1999
    Scientific journal, English
  • Semi-Fredholm operators and periodic solutions for linear functional differential equations
    JS Shin; T Naito
    JOURNAL OF DIFFERENTIAL EQUATIONS, 153, 2, 407-441, Apr. 1999
    Scientific journal, English
  • Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolution equations
    T Naito; N Van Minh
    JOURNAL OF DIFFERENTIAL EQUATIONS, 152, 2, 358-376, Mar. 1999
    Scientific journal, English
  • On stability of solutions in linear autonomous functional differenteal equations
    John Son Shin; Toshiki Naito; Nguyen Van Minh
    RIMS kokyuroku,1083, 231-242, 1999
    Research institution, English
  • On a spectral criterion for almost periodicity of solutions to periodic evolutions equatons
    Toshiki Naito; Nguyen Van Minh
    Electric Journal of Qualitative Theory of Differential Equations,1, 1-28, 1999
    Scientific journal, English
  • Evokution semigroups and harmonic analysis of bounded solutions of evolution equations
    Toshiki Naito; Nguyen Van Minh; Jong Son Shin
    Surikaisekikenkyusho Kokyuroku,1083, 166-168, 1999
    English
  • Spectral criteria for almost periodicity of solutions of periodic evolution equations(共著)
    T. Naito; Nguyen V.M
    RIMS Kokyuroku,1034, Kyoto University, 1034, 49-51, 1998
    Research institution, English
    URL
  • Existence of periodic solutions for periodic linear functional differential equations in Banach Spaces(共著)
    J.S. Shin; T. Naito
    RIMS Kokyuroku,1034, 120-129, 1998
    Research institution, English
  • The generator of the solution semigroup for the general ilnear functional differential equation
    Jong Son Shin; Toshiki Naito; Nguyen Van Minh
    Bulletin of the University of Electro-Communications,11-1, 29-38, 1998
    Research institution, English
  • On solution semigroups of general functional differential equations
    T Naito; JS Shin; S Murakami
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 30, 7, 4565-4576, Dec. 1997
    Scientific journal, English
  • Evolution Equations with Infinite Delay
    RIMS Kokyuroku, 984, 147-160, 1997
    Research institution, English
  • On solution semigroups of furctional differential equations
    数理解析研究所講究録, 940, 161-175, 1996
    Research institution, English
  • バナッハ空間上の周期線形関数微分方程式の周期解の存在について
    申 正善; 内藤 敏樹
    数理解析研究所講究録900, 京都大学, 900, 148-158, 1995
    Japanese
    URL
  • Fading memory spaces and stability properties for functional differential equations with infinite delay
    Funkcialaj Ekvacioj, 32, 1989
    Scientific journal, English
  • Adjoint semigroups associated with linear functional differential equations with infinite delay
    Toshiki Naito
    Finite and Infinite Dimensional Dynamics, Lecture Notes in Numerical and Applied Analysis, Vol. 15, Kinokuniya, Tokyo, 165-185, Aug. 1988, Peer-reviwed
    International conference proceedings, English
  • A modified form of the variation-of-constants formula for equations with infinite delay
    Tohoku Mathematical Journal, 36, 1984
    Scientific journal, English
  • On linear autonomous retarded equations with an abstract phase space for infinite delay
    Journal of Differential Equations, 33, 1979
    Scientific journal, English
  • On autonomous linear functional differential equations with infinite retardations
    Journal of Differential Equations, 21, 1976
    Scientific journal, English

MISC

  • Almost periodic solutions of differential equations in Banach spaces: Some new results and methods
    Tohiki Naito; Nguyen Van Minh; Jong Son Shin
    2001, Springer Vlg, Vietnam J. Mathematics, 29, 4, 295-330, English, Peer-reviwed, Introduction other

Books and other publications

  • 初等常微分方程式の解法
    内藤敏機; 申正善
    Japanese, Joint work, 牧野書店, Nov. 2005
  • 理工系基礎数学演習
    石田晴久; 伊藤裕也; 大野真裕; 木田雅成; 田吉隆夫; 内藤敏機; 山口耕平; 山田裕一
    Japanese, Joint work, 昭晃堂, Apr. 2005
  • タイムラグをもつ微分方程式
    内藤敏機; 原惟行; 日野義之; 宮崎倫子
    Japanese, Joint work, 第５章 線形関数微分方程式, 牧野書店, Nov. 2002
  • Almost Periodic Solutions of Differential Equations in Banach Spaces
    Yoshiyuki Hino; Toshiki Naito; Nguyen Van Minh; Jong Son Shin
    English, Joint work, Taylor and Francis,, 2002
  • Dual Semigroups Associated with Linear Functional Differential Equations with Infinite Delay
    English, International Conference on Differential Equations Barcelona 1991, World Scientific, 1993
  • Functional Differential Equations with Infinite Delay
    Yoshiyuki Hino; Satoru Murakami; Toshiki Naito
    English, Joint work, Springer-Verlag, 1991
  • Asymptotic stability of linear fanctional differential equations with the fadeng memory space
    English, Proc International symposium Functional Differential Equations, Kyoto 1990, World Scientific, 1991

Affiliated academic society

  • 日本数学会