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New developments of functional differential equations combined with difference equations, and studies of related topics

Research Project

Project/Area Number 16540141
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionThe University of Electro-Communications

Principal Investigator

NAITO Toshiki  The University of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (60004446)

Co-Investigator(Kenkyū-buntansha) USHIJIMA Teruo  The University of Electro-Communications, Faculty of Electro-Communications, Emeritus Professor, 名誉教授 (10012410)
KAKO Takashi  The University of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (30012488)
HINO Yoshiyuki  Chiba University, Faculty of Science, Professor, 理学部, 教授 (70004405)
FURUMOCHI Tetsuo  Shimane University, Interdisciplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (40039128)
MURAKAMI Satoru  Okayama Univesity of Science, Faculty of Science, Professor, 理学部, 教授 (40123963)
鈴木 麻美  愛知学泉大学, 経営学部, 助教授 (10236010)
Project Period (FY) 2004 – 2006
Project Status Completed (Fiscal Year 2006)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2006: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2005: ¥1,100,000 (Direct Cost: ¥1,100,000)
Fiscal Year 2004: ¥1,600,000 (Direct Cost: ¥1,600,000)
KeywordsFunctional differential equations / Difference equations / Volerra type equations / Asymptotic behavior / The variation of constants formula / Finite element methods / Voice generation problem / Reduced wave problem / 線形差分方程式 / 周期解 / 概周期解 / 安定性 / 音場問題 / 円外帰着波動問題 / 解析的差分方程式 / 不動点定理 / 二次元翼回り流れ / 声道形状設計
Research Abstract

Results about title of project : We considered a linear non-homogeneous difference equations with general matrix as a linear coefficient, and obtained a general formula representing its solutions with respect to discrete time and initial values by decomposing the solutions into the component of generalized eigen-spaces of the coefficient matrix. We followed up the detailed relation between this formula and the formula for the case that the coefficient matrix is an exponential function of a matrix. The new formula has three applications. Firstly, we obtained a formula determining by the initial values the asymptotic behavior of the solutions to the linear periodic differential equations. Secondary by transform of the results to the differential equations, we observed that the solutions are decomposed to the periodic functions and exponential functions. We made a difference equations which shows directly the relations of difference method and differential methods. As the third applicatio … More n, we observed that this new formula obtained by using difference methods is applicable to compute the Lyapunov numbers of solutions of linear differential equations. As a result, we succeeded to compute the Lyapunov numbers of solutions of non-homogeneous linear periodic differential equations. This number are not obtained by the classical methods.
Results about differential equations and difference equations : The stability of solutions of Volterra difference equations on a Bamach space are obtained by using the summarbility of fundamental solutions and the characteristic operator. The asymptotic results of bounded and periodic property of solutions to functional differential equations are obtained by using Schawder fixed point theorem and contraction principle. Results about the existence of analytic solutions are obtained for the second order, non-homogeneous difference equations such that the eigen-values of the coefficient matrix are one
Other related researches : The Gevray well-posed property of initial values are obtained for a class of higher order, degenerated partial differential equations. Numerical methods for voice generation problems are constructed by using the finite element methods, and proposed an algorithm for the construction of the voice form. Finite element method and fundamental solution method are combined for the study of the reduced wave problem in the exterior region in two dimensional space. A homotopy theory are obtained about the space of singularity of energy functions of the space of smooth mappings from Riemann surface to complex projective spaces. Less

Report

(4 results)
  • 2006 Annual Research Report   Final Research Report Summary
  • 2005 Annual Research Report
  • 2004 Annual Research Report
  • Research Products

    (112 results)

All 2007 2006 2005 2004 Other

All Journal Article (107 results) Book (5 results)

  • [Journal Article] A spectral countability condition for almost automorphy of solutions of differential equations2006

    • Author(s)
      Nguyen Van Minh, Toshiki Naito, Gaston Nguerekata
    • Journal Title

      Proc. Amer. Math. Soc. 134

      Pages: 3257-3266

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] On periodicizing functions2006

    • Author(s)
      Toshiki Naito, Jong Son Shin
    • Journal Title

      Bull. Korean Math. Soc. 43

      Pages: 253-263

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Boundedness of solutions for periodic linear differential equations2006

    • Author(s)
      内藤敏機, 申正善
    • Journal Title

      数理解析研究所講究録 1474

      Pages: 102-109

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Existence theorems and periodic solutions of neutral difference equations2006

    • Author(s)
      T.Furumochi, T.Tsuchie, H.Wada
    • Journal Title

      Cubo Mathematical Journal 8-3

      Pages: 35-46

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Liapunov functions and boundedness in difference equations2006

    • Author(s)
      Furumochi, K.Hishitani, K.Tsuchihashi
    • Journal Title

      Dynamics of Continuous, Discrete and Impulsive Syatems 2

      Pages: 331-339

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Journal Article] Second order nonlinear difference equations whose eigenvalues are 12006

    • Author(s)
      鈴木麻美
    • Journal Title

      数理解析研究所講究録 1474

      Pages: 110-117

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 複素固有値に対する変分公式と母音の数値シミュレーション2006

    • Author(s)
      束田憲太郎, 加古孝
    • Journal Title

      日本応用数理学会論文誌 16-3

      Pages: 237-253

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Numerical method for voice generation problem based on finite element method2006

    • Author(s)
      Kako, T., Touda, K.
    • Journal Title

      Journal of Computational Acoustics 14-1

      Pages: 45-56

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Domain decomposition method for radiation and scattering problems with its applications, Domain decomposition methods : theory and applications2006

    • Author(s)
      Kako T., Touda K.
    • Journal Title

      GAKUTO Internat. Ser. Math. Sci. Appl. 25

      Pages: 182-214

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A novel perturbation expansion method for coupled system of acoustics and structures2006

    • Author(s)
      Li Deng, Douglas C.C., Kako T., Suzuki M., Hagiwara I.
    • Journal Title

      Comput. Math. Appl. 51-11

      Pages: 1689-1704

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Multiprecision experiment for a fundamental solution method applied to reduced wave problems in the exterior region of a disc2006

    • Author(s)
      Teruo Ushijima, Fumihiro Chiba
    • Journal Title

      Proceedings of the Seventh China-Japan Joint Seminar on Numerical Mathematics

      Pages: 275-285

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The topology of the space of holomorphic maps with bounded multiplicity.2006

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Publ. Res. Inst. Math. Sci. 42-1

      Pages: 83-100

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The homotopy of spaces of maps between real projective spaces2006

    • Author(s)
      K.Yamaguchi
    • Journal Title

      J. Math. Soc. Japan 58-4

      Pages: 1163-1184

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A spectral countability condition for almost automorphy of solutions of differential equations2006

    • Author(s)
      Nguyen Van Minh, Toshiki Naito, Gaston Nguerekata
    • Journal Title

      Proc.Amer.Math.Soc. 134

      Pages: 3257-3266

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] On periodicizing functions2006

    • Author(s)
      Naito, Jong Son Shin
    • Journal Title

      Bull.Korean Math.Soc. 43

      Pages: 253-263

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Boundedness of solutions for periodic linear differential equations2006

    • Author(s)
      T.Naito, J.S.Shin.
    • Journal Title

      RIMS Kokyuroku. 1474

      Pages: 102-109

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Liapunov functions and boundedness in difference equations2006

    • Author(s)
      Furumochi, K.Hishitani, K.Tsuchihashi
    • Journal Title

      Dynamics of Continuous Discrete and Impulsive Syatems 2

      Pages: 331-339

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Second order nonlinear difference equations whose eigenvalues are 12006

    • Author(s)
      M.Suzuki
    • Journal Title

      RIMS Kokyuroku 1474

      Pages: 110-117

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Numerical method for voice generation problem based on finite element method2006

    • Author(s)
      Kako, T., Touda, K.
    • Journal Title

      Journal of Computational Acoustics Vol.14, No.l

      Pages: 45-56

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Domain decomposition method for radiation and scattering problems with its applications, Domain decomposition methods : theory and applications2006

    • Author(s)
      Kako T., Touda K.
    • Journal Title

      GAKUTO Internat.Ser.Math.Sci.Appl. Vol.25

      Pages: 182-214

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A novel perturbation expansion method for coupled system of acoustics and structures.2006

    • Author(s)
      Li Deng, Douglas C.C., Kako Takashi, Masabumi Suzuki, Ichiro Hagiwara
    • Journal Title

      Comput.Math.Appl. Vol.51 No.11

      Pages: 1689-1704

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Multiprecision experiment for a fundamental solution method applied to reduced wave problems in the exterior region of a disc2006

    • Author(s)
      Teruo Ushijima, Fumihiro Chiba
    • Journal Title

      Proceedings of the Seventh China-Japan Joint Seminar on Numerical Mathematics(Edited by Zhong-Ci Shi and Hisashi Okamoto(Science Press)(Beijing)

      Pages: 275-285

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The topology of the space of holomorphic maps with bounded multiplicity2006

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Publ.Res.Inst.Math.Sci 42-1

      Pages: 83-100

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] The homotopy of spaces of maps between real projective spaces2006

    • Author(s)
      K.Yamaguchi
    • Journal Title

      The homotopy of spaces of maps between real projective spaces(J.Math.Soc. Japan) 58-4

      Pages: 1163-1184

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] On periodicizing functions2006

    • Author(s)
      Toshiki Naito, Jong Son Shin.
    • Journal Title

      Bull. Korean Math. Soc. 43

      Pages: 253-263

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Boundedness of solutions for periodic linear differential equations2006

    • Author(s)
      内藤敏機, 中正善
    • Journal Title

      数理解析研究所講究録 1474

      Pages: 102-109

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Existence theorems and periodic solutions of neutral difference equations2006

    • Author(s)
      T.furumochi, T.Tsuchie, H.Wada
    • Journal Title

      Cubo Mathematical Journal 8-3

      Pages: 35-46

    • Related Report
      2006 Annual Research Report
  • [Journal Article] Invariant manifolds for abstract functional differential equationsand related Volterra difference equations in a Banach space2006

    • Author(s)
      Satoru Murakami, Yutaka Nagabuchi
    • Journal Title

      Funkcial. Ekavac (印刷中)

    • Related Report
      2006 Annual Research Report
  • [Journal Article] New characterizations of exponential dichotomy and exponential stability of linear difference equations2005

    • Author(s)
      Pham Huu Anh Ngoc, Toshiki Naito
    • Journal Title

      J. Difference Equations and Applications 11

      Pages: 909-918

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A characterization of solutions in linear differential equations with periodic forcing functions2005

    • Author(s)
      Junji Kato, Toshiki Naito, Jong Son Shin
    • Journal Title

      J. Difference Equations and Applications 11

      Pages: 1-19

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 方程式(I-e^<□A>)w=b について2005

    • Author(s)
      申正善, 内藤敏機
    • Journal Title

      数学 57-3

      Pages: 314-320

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Periodicizing functions2005

    • Author(s)
      内藤敏機, 申正善
    • Journal Title

      数理解析研究所講究録 1445

      Pages: 216-225

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A representation of solutions of linear difference equations with constant coefficients2005

    • Author(s)
      内藤敏機, 申正善
    • Journal Title

      数理解析研究所講究録 1372

      Pages: 63-69

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of nonlinear functional differential equations by Schauder's theorem2005

    • Author(s)
      A.Burton, T.Furumochi
    • Journal Title

      Nonlinear Studies 12-1

      Pages: 73-84

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Stability in FDEs by Schauder's theorem2005

    • Author(s)
      T.Furumochi
    • Journal Title

      Nonlinear Analysis 63

      Pages: 217-224

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions of functional differential equations2005

    • Author(s)
      Hideo Matsunaga, Satoru Murakami
    • Journal Title

      J. Math. Anal. Appl. 305

      Pages: 391-410

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Stability properties of linear Volterra integrodifferential equations in a Banach space2005

    • Author(s)
      Yoshiyuki Hino, Satoru Murakami
    • Journal Title

      Funkcial. Ekvac. 48

      Pages: 367-392

    • NAID

      130000141321

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Analytic solutions of nonlinear Cournot-Duopoly game2005

    • Author(s)
      M.Suzuki, A.Matsumoto
    • Journal Title

      Discrete Dynamics in Nature and Society, Hindawi Publ. Corp. 2005-2

      Pages: 119-133

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Holomorphic solutions of a functional equation2005

    • Author(s)
      鈴木麻美
    • Journal Title

      数理解析研究所講究録 1445

      Pages: 188-198

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 非有界領域での数値解法における完全適合層(PML)について2005

    • Author(s)
      加古孝, 大井祥栄
    • Journal Title

      数理解析研究所講究録 1441

      Pages: 187-197

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 円外帰着波動ノイマン問題へ適用した多倍長計算による基本解近似解法2005

    • Author(s)
      千葉文浩, 牛島照夫
    • Journal Title

      日本応用数理学界論文誌 15-3

      Pages: 361-384

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spaces of free loops on real projective spaces2005

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Kyushu J. Math. 59-1

      Pages: 145-153

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Homotopy classification of twisted complex projective spaces of dimension 42005

    • Author(s)
      J.Mukai, K.Yamaguchi
    • Journal Title

      J. Math. Soc. Japan 37-2

      Pages: 461-489

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Homotopy types of twisted CP^<4'>s2005

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Hiroshima Math. J. 35-1

      Pages: 143-157

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Connective coverings of a few cell complexes2005

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Math. J. Okayama Univ. 47

      Pages: 133-139

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] New characterizations of exponential dichotomy and exponential stability of linear difference equations2005

    • Author(s)
      Pham Huu Anh Ngoc, Toshiki Naito
    • Journal Title

      J.Difference Equations and Applications 11

      Pages: 909-918

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A characterization of solutions in linear differential equations with periodic forcing functions2005

    • Author(s)
      Junji Kato, Toshiki Naito, Jong Son Shin
    • Journal Title

      J.Difference Equations and Applications 11(1-1)

      Pages: 1-19

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Periodicizing functions2005

    • Author(s)
      T.Naito, J.S.Shin
    • Journal Title

      RIMS Kokyuroku 1445

      Pages: 216-225

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of nonlinear functional differential equations by Schauder's theorem2005

    • Author(s)
      T.A.Burton, T.Furumochi
    • Journal Title

      Nonlinear Studies 12,1

      Pages: 73-84

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions of functional differential equations2005

    • Author(s)
      Hideo Matsunaga, Satoru Murakami
    • Journal Title

      J.Math.Anal.Appl. 305

      Pages: 391-410

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Stability properties of linear Volterra integrodifferential equations in a Banach space2005

    • Author(s)
      Yoshiyuki Hino, Satoru Murakami
    • Journal Title

      Funkcial.Ekvac. 48

      Pages: 367-392

    • NAID

      130000141321

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary 2005 Annual Research Report
  • [Journal Article] Analytic solutions of nonlinear Cournot-Duopoly game2005

    • Author(s)
      M.Suzuki, A.Matsumoto
    • Journal Title

      Discrete Dynamics in Nature and Society(Hindawi Publ.Corp.) 2005-2

      Pages: 119-133

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Holomorphic solutions of a functional equation2005

    • Author(s)
      M.Suzuki
    • Journal Title

      RIMS Kokyuroku 1445

      Pages: 188-198

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Spaces of free loops on real projective spaces2005

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Kyushu J.Math 59-1

      Pages: 145-153

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Homotopy classification of twisted complex projective spaces of dimension 4,2005

    • Author(s)
      J.Mukai, K.Yamaguchi
    • Journal Title

      J.Math.Soc.Japan 37-2

      Pages: 461-489

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Homotopy types of twisted C P^41s,2005

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Hiroshima Math.J 35-1

      Pages: 143-157

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Connective coverings of a few cell complexes2005

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Math.J.Okayama Univ. 47

      Pages: 133-139

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A characterization of solutions in linear differential equations with periodic forcing functions2005

    • Author(s)
      John Son Shin, Toshiki Naito
    • Journal Title

      J.Difference Equations 11.1

      Pages: 1-19

    • Related Report
      2005 Annual Research Report
  • [Journal Article] Periodicizing Functions2005

    • Author(s)
      内藤敏機, 申 正善
    • Journal Title

      京都大学数理解析研究所講究録 1445

      Pages: 216-225

    • Related Report
      2005 Annual Research Report
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    • Author(s)
      加古孝, 大井祥栄
    • Journal Title

      京都大学数理解析研究所講究録 1441

      Pages: 187-197

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  • [Journal Article] 円外帰着波動ノイマン問題へ適用した多倍長計算による基本解近似解法2005

    • Author(s)
      千葉文浩, 牛島照夫
    • Journal Title

      日本応用数理学会論文誌 15.3

      Pages: 361-384

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    • Author(s)
      T.A.Burton, T.Furumochi
    • Journal Title

      Nonlinear Studies 12.1

      Pages: 73-84

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    • Author(s)
      T.Furumochi
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      Nonlinear Analysis 63

      Pages: 217-224

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    • Author(s)
      Hideaki Matsunaga, Satoru Murakami
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      Journal of Mathematical Analysis and Applications 305

      Pages: 391-410

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  • [Journal Article] Holomorphic Solutions of a Functional Equation2005

    • Author(s)
      鈴木 麻美
    • Journal Title

      京都大学数理解析研究所講究録 1445

      Pages: 188-198

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    • Author(s)
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      The J.of Difference Equations and Applications 11-1

      Pages: 1-19

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  • [Journal Article] Massera criterion for abstract functional differential equations with advance and delay2004

    • Author(s)
      Takeshi Nishikawa, Nguyen Van Minh, Toshiki Naito
    • Journal Title

      Applicable Analysis 83

      Pages: 1171-1185

    • Description
      「研究成果報告書概要(和文)」より
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  • [Journal Article] On the asypmtotic periodic solutions of abstract functional differential equations2004

    • Author(s)
      Takeshi Nishikawa, Nguyen Van Minh, Toshiki Naito
    • Journal Title

      Funkcialaj Ekvacioj 47

      Pages: 307-327

    • Description
      「研究成果報告書概要(和文)」より
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      2006 Final Research Report Summary
  • [Journal Article] Massera criterion for abstract functional differential equations with advance and delay2004

    • Author(s)
      西川武, 内藤敏機, Nguyen Van Minh
    • Journal Title

      数理解析研究所講究録 1372

      Pages: 1-6

    • Description
      「研究成果報告書概要(和文)」より
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      2006 Final Research Report Summary
  • [Journal Article] Massera's theorem for almost periodic solutions of functional differential equations2004

    • Author(s)
      Satoru Murakami, Toshiki Naito, Nguyen Van Minh
    • Journal Title

      J. Math. Soc. of Japan 56

      Pages: 247-266

    • NAID

      10013122753

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Stabilities in Volterra diffeence equations on a Banach space2004

    • Author(s)
      T.Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      Fieblds Institute Communications 42

      Pages: 159-176

    • Description
      「研究成果報告書概要(和文)」より
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      2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem2004

    • Author(s)
      T.Furumochi
    • Journal Title

      Proc. 7th Coll. QTDE 10

      Pages: 387-412

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Volterra difference equations on a Banach space and abstract differential equations with piecewise continuous delays2004

    • Author(s)
      Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      Japanese J. Math. 30

      Pages: 387-412

    • NAID

      10014334745

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A generalization of Wiener's lemma and its application t Volterra difference equations on a Banach space2004

    • Author(s)
      T.Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      J. Difference Equations and its Applications 10

      Pages: 1201-1214

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Analytic solutions of nonlinear difference equations2004

    • Author(s)
      鈴木麻美
    • Journal Title

      数理解析研究所講究録 1372

      Pages: 104-109

    • Description
      「研究成果報告書概要(和文)」より
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      2006 Final Research Report Summary
  • [Journal Article] Numerical approximation of Dirichlet-to-Neumann mapping and its application2004

    • Author(s)
      Kako Takashi, Touda Kentarou
    • Journal Title

      Proc. 15th International Conference of Domain Decomposition Methods 40

      Pages: 51-65

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] 翼の等角写像の有限要素計算による同定2004

    • Author(s)
      西崎誉, 牛島照夫, 半田恭介
    • Journal Title

      宇宙航空研究開発機構特別資料,航空宇宙数理シミュレーシヨン技術シンポジウム2003論文集,JAXA-SPO3-002

      Pages: 131-136

    • NAID

      120006829773

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Mod p truncated configuration spaces2004

    • Author(s)
      K.Yamaguchi
    • Journal Title

      J. Math. Soc. Japan 56-1

      Pages: 115-199

    • Description
      「研究成果報告書概要(和文)」より
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      2006 Final Research Report Summary
  • [Journal Article] Remark on cup-products2004

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Math. J. Okayama Univ. 46

      Pages: 115-120

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Fundamental groups of spaces of holomorphic maps and group actions2004

    • Author(s)
      K.Yamaguchi
    • Journal Title

      J. Math. Kyoto Univ. 44-3

      Pages: 479-492

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Massera's theorem for almost periodic solutions of functional differential equations2004

    • Author(s)
      Satoru Murakami, Toshiki Naito, Nguyen Van Minh
    • Journal Title

      J.Math.Soc.of Japan 56

      Pages: 247-266

    • NAID

      10013122753

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Massera criterion for abstract functional differential equations with advance and delay2004

    • Author(s)
      T.Nishikawa, T.Naito, Nguyen Van Minh
    • Journal Title

      RIMS Kokyuroku 1372

      Pages: 1-6

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A representation of solutions of linear difference equations with constant coefficients2004

    • Author(s)
      T.Naito, J.S.Shin.
    • Journal Title

      RIMS Kokyuroku 1372

      Pages: 63-69

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem2004

    • Author(s)
      T.Furumochi
    • Journal Title

      Proc. 7th Coll.QTDE 10

      Pages: 1-11

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Volterra difference equations on a Banach space and abstract differential equations with piecewise continuous delays2004

    • Author(s)
      T.Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      Japanese J.Math. 30

      Pages: 387-412

    • NAID

      10014334745

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] A generalization of Wiener's lemma and its application t Volterra difference equations on a Banach space2004

    • Author(s)
      T.Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      J.Difference Equations and its Applications 10

      Pages: 1201-1214

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Analytic solutions of nonlinear difference equations2004

    • Author(s)
      M.Suzuki
    • Journal Title

      RIMS Kokyuroku 1372

      Pages: 104-109

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Mod $p$ truncated configuration spaces2004

    • Author(s)
      K.Yamaguchi
    • Journal Title

      J.Math.Soc.Japan 56-1

      Pages: 193-199

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Remark on cup-products2004

    • Author(s)
      K.Yamaguchi
    • Journal Title

      Math.J.Okayama Univ. 46

      Pages: 115-120

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Fundamental groups of spaces of holomorphic maps and group actions2004

    • Author(s)
      K.Yamaguchi
    • Journal Title

      J.Math.Kyoto Univ. 44-3

      Pages: 479-492

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Massera's theorem for almost periodic solutions of functional differential equations2004

    • Author(s)
      S.Murakami, T.Naito, Nguyen V.M.
    • Journal Title

      J.Mathematical Society of Japan 56-1

      Pages: 247-268

    • NAID

      10013122753

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Periodic solutions of evolution equations2004

    • Author(s)
      Essinbi K., T.Naito, Nguyen V.M.
    • Journal Title

      Dyn.Contin.Discrete Impuls.Sys.Ser.Math.Anal. 5-6

      Pages: 601-613

    • Related Report
      2004 Annual Research Report
  • [Journal Article] On the asymptotic periodic solutions of abstract functional differential equations2004

    • Author(s)
      T.Nishikawa, Nguyen V.M., T.Naito
    • Journal Title

      Funkcialaj Ekvacioj 47-2

      Pages: 307-327

    • NAID

      130000141164

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Massera criterion for abstract functional differential equations with advance and delay2004

    • Author(s)
      T.Nishikawa, Nguyen V.M., T.Naito
    • Journal Title

      Applicable Analysis 83-11

      Pages: 1171-1185

    • Related Report
      2004 Annual Research Report
  • [Journal Article] 翼の等角写像の有限要素計算による同定2004

    • Author(s)
      西崎誉, 牛島照夫, 半田恭介
    • Journal Title

      宇宙航空研究開発機構特別資料、航空宇宙数値シュミレーション技術シンポジウム2003論文集 JAXA-SP03-002

      Pages: 131-136

    • NAID

      120006829773

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Numerical approximation of Dirichlet-to-Neumann mapping and its application2004

    • Author(s)
      KAKO Takashi, TOUDA Kentarou
    • Journal Title

      Proceedings of the 15th International Conference of Domain Decomposition Meth 40

      Pages: 51-65

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Mod p truncated configuration spaces2004

    • Author(s)
      Kohhei Yamaguchi
    • Journal Title

      J.Math.Soc.Japan 56-1

      Pages: 193-199

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Remark on cup-products2004

    • Author(s)
      Kohhei Yamaguchi
    • Journal Title

      J.Okayama Univ. 46

      Pages: 115-120

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Fundamental groups of spaces of holomorphic maps and group actions2004

    • Author(s)
      Kohhei Yamaguchi
    • Journal Title

      J.Math.Kyoto Univ. 44・3

      Pages: 479-492

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Stabilities in Volterra difference equations on a Banach space2004

    • Author(s)
      T.Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      Fields Institute Communications 42

      Pages: 159-176

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Asymptotic behavior of solutions of some functional differential equations by Schauder's theorem2004

    • Author(s)
      T.Furumochi
    • Journal Title

      Proc.7th Coll.QTDE 10

      Pages: 1-11

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Volterra difference equations on a Banach space and abstract differential equations with piecewise continuous delays2004

    • Author(s)
      T.Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      Japanese Journal of Mathematics 30

      Pages: 387-412

    • NAID

      10014334745

    • Related Report
      2004 Annual Research Report
  • [Journal Article] A generalization of Wiener's lemma and its applicaton to Volterra difference equations on a Banach space2004

    • Author(s)
      T.Furumochi, S.Murakami, Y.Nagabuchi
    • Journal Title

      J.Difference Equations and its Applications 10

      Pages: 1201-1214

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Invariant manifolds for abstract functional differential equationsand related Volterra difference equations in a Banach space

    • Author(s)
      Satoru Murakami, Yutaka Nagabuchi
    • Journal Title

      Funkcial. Ekavac (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Invariant manifolds for abstract functional differential equations and related Volterra difference equations in a Banach space

    • Author(s)
      Satoru Murakami, Yutaka Nagabuchi
    • Journal Title

      Funkcial.Ekavac. ( in press)

    • NAID

      130000140684

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Journal Article] Stability properties of linear Volterra integrodifferential equations on Banach space

    • Author(s)
      Yoshiyuki Hino, Satoru Murakami
    • Journal Title

      Funkcial.Ekvac. to appear

    • NAID

      130000141321

    • Related Report
      2004 Annual Research Report
  • [Journal Article] Analytic Solutions of Nonlinear Cournot-Duopoly Game

    • Author(s)
      Mami Suzuki, Akio Matsumoto
    • Journal Title

      Discrete Dynamics in Nature and Society to appear

    • Related Report
      2004 Annual Research Report
  • [Book] 線形微分方程式序説、第1巻基礎理論2007

    • Author(s)
      申正善, 内藤敏機
    • Total Pages
      228
    • Publisher
      牧野書店
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Annual Research Report 2006 Final Research Report Summary
  • [Book] Domain decomposition methods : theory and applications, GAKOTO International Series. Mathematical Sciences and Applications,Vol. 252006

    • Author(s)
      F.Magoules, T.Kako Edited
    • Total Pages
      271
    • Publisher
      Gakkotosho Co. Ltd.
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Book] 初等常微分方程式の解法2005

    • Author(s)
      内藤敏機, 申正善
    • Total Pages
      252
    • Publisher
      牧野書店
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Book] 理工系 基礎数学演習2005

    • Author(s)
      石田晴久, 伊東裕也, 大野真裕, 木田雅成, 田吉隆夫, 内藤敏機, 山口耕平, 山田裕一
    • Total Pages
      219
    • Publisher
      昭晃堂
    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2006 Final Research Report Summary
  • [Book] 初等常微分方程式の解法2005

    • Author(s)
      内藤 敏機, 申 正善
    • Total Pages
      252
    • Publisher
      牧野書店
    • Related Report
      2005 Annual Research Report

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Published: 2004-04-01   Modified: 2016-04-21  

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