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Harmonic Analysis and Numerical Analysis on Functional Defferential Equations and Partial Differential Equations

Research Project

Project/Area Number 11640155
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) HINO Yoshiyuki  Chiba University, Faculty of Science, Professor, 理学部, 教授 (70004405)
KATO Takeshi  The University of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (30012488)
USHIJIMA Teruo  The University of Electro-Communications, Faculty of Electro-Communications, Professor, 電気通信学部, 教授 (10012410)
MURAKAMI Satoru  Okayama Science University, Faculty of Science, Professor, 理学部, 教授 (40123963)
FURUMOCHI Tetsuo  Shimane University, Interdisciplinary Faculty of Science and Engineering, Professor, 総合理工学部, 教授 (40039128)
田吉 隆夫  電気通信大学, 電気通信学部, 教授 (60017382)
Project Period (FY) 1999 – 2001
Project Status Completed (Fiscal Year 2001)
Budget Amount *help
¥3,600,000 (Direct Cost: ¥3,600,000)
Fiscal Year 2001: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2000: ¥1,000,000 (Direct Cost: ¥1,000,000)
Fiscal Year 1999: ¥1,700,000 (Direct Cost: ¥1,700,000)
KeywordsFunctional Differential Equations / Variation-of-constants Formula / Periodic Solutions / Almost Periodi Solutios / Spectrum / Finite Element Method / Perfect Fluid / Domain Decomposition / 差分方程式 / 不動点定理 / ヴォルテラ型方程式 / 半群 / 全安定性 / 極限方程式 / フレッドホルム作用素 / 安定性
Research Abstract

1. The results on the analytic investigation of solution spaces, stability, existence of peridic(P-) or almost periodic(AP-) solutions in functional, partial or stochastic differential equations(DE's) : We studied the Fourier-Carleman spectrum of bounded solutions of linear DE's. Main result are decompositions of bounded solutions corresponding to the separation of spectrum, its application to the existence of P- or AP-solutions and admissiblility of function spaces. Difference equations are treated similary. Fundamental results are given on the existence and uniqueness of solutions to functional differential equations (FDE's) in Banach spaces. The spectral theory of solution semigroups of linear FDE's are applied to stability and existence of P-solutions. A new variation-of-constants formula for FDE's are established on the abstract phase space; the formula are shown to be effective on the decomposition of the phase space and the existence of P- or AP solutions.
2. The results on the numerical analysis on the example of concrete applications and the development of the technique of numerical computation: About the finite element method(FEM) on 2 dimensional perfect fluid around a wing, we studied the numerical construction of conformal function of a wing by using the results on FEM to the discrite version of Laplace problem in the interior of a disk. About the scattering problem in unbounded region, we studied the numerical solving manner by using 'the domain decompositon method as well as the fictitious domain method. Among them we obtained a new view of numerical treatments of Dirichlet-Neumann problem. Including the FEM approximation of mixed type to Poisson equation, we observed the importance of the essential spectrum in the study of FEM.

Report

(4 results)
  • 2001 Annual Research Report   Final Research Report Summary
  • 2000 Annual Research Report
  • 1999 Annual Research Report
  • Research Products

    (102 results)

All Other

All Publications (102 results)

  • [Publications] Y.Hino, S.Murakami, T.Naito, N.V.Minh: "A variation-of-constants formula for abstract functional differential equations In Banach space"J. Differential Equations. 179. 336-355 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Yamaguchi: "Spaces of polynomials with real roots of bounded multiplicity"to appear J. Math. Kyoto Univ.. 42. (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] KAKO, Takashi, NASIIR, H.Mohamed: "Essential spectrum and mixed type finite element method"Lecture Notes in Computational Science and Engineering, Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Proceedings of International Symposium on Mathematical Modeling and Numerical Simulation in Continuum Mechanics. 19. 155-167 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Hirata, K.Yamaguchi: "Spaces of polynomials without 3-fold real roots"to appear J. Math. Kyoto Univ..

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Yamaguchi: "Universal coverings of spaces of holomorphic maps"to appear Kyushu J. Math. 56. (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Naito, Nguyen V.M., J.S.Shin: "Almost periodic solutions of differential equations in Banach spaces : Some new results and methods"Vietnam J. Math. 29.4. 295-330 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Naito, N.V.Minh, R.Miyazaki, Y.Hamaya: "Boundedness and almost periodicity in dynamical systems"J. Difference Equations and Applications. 7. 507-527 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Jong Song Shin, Nguyen Van Minh: "Periodic solutions of linear differential equatiions"数理解析研究所講究録. 1216. 78-89 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 牛島照夫: "二次元外部ラプラス問題のFEM-CSM近似解の誤差評価。「偏微分方程式の数値解法とその周辺II」"数理解析研究所講究録. 1198. 122-127 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] KAKO, Takashi, KANO, Tomotoshi, LIU, Xiao-Jin, YAMASHITA, Takehiko: "Domain decomposition method applied to radiation problems"Proceedings of 12th DDM International Conference. 381-127 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] NASIR, H.Mohamed, KAKO, Takashi: "Fictitious domain method for structural-acoustic coupling problem in unbounded region"Theoretical and Applied Mechanics. 50. 391-401 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh, Jong Son Shin: "Periodic and almost periodic solutions of functional differential equations with finite and infinite delay"Proceedings of the Third World Congress of Nonlinear Analysts, Nonlinear Analysis. 47. 3889-3999 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yoshiyuki Hino, Satoru Murakami: "Total stability in abstract functional differential equations with infinite delay"Proceedings of the Third World Congress of Nonlinear Analysts, Nonlinear Analysis. 47. 4025-4036 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] J.S.Shin, T.Naito, N.V.Minh: "Existence and uniqueness of periodic solutions to periodic linear functional Differential equations with finite delay"Funkcailaj Ekvacioj. 44・1. 53-71 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Naito, N.V.Minh, J.S.Shin: "New spectral criteria for almost periodic solutions of evolution equations"Studia Mathematica. 145・2. 97-111 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A.Burton, T.Furumochi: "Existence theorems and periodic solutions of neutral integral equations"Nonlinear Analysis. 43. 527-546 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A.Burton, T.Furumochi: "Fixed points and problems in stability theory for ordinary and functional differential equations"Dynamic Systems and Applications. 10. 89-116 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A.Burton, T.Furumochi: "A note on stability by Schauder's theorem"Funkcialaj Ekvacioj. 44・1. 73-82 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Yamaguchi: "Spaces of holomorphic maps with bounded multiplicity"Quart. J. Math. 52. 249-259 (2001)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh, Jong Son Shin: "On the spectrum of some functional differential equations, Proceedings of "Semigroups of Operators : Theorey and Applications, International Conference in Newport Beach, December 14-18, 1998", edited by Balakrishnan"Progress in Nonlinear Differential Equations and Their Applications. 42. 222-228 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A.Burton, T.Furumochi: "Periodic and asymptotically periodic solutions of neutral integral equations"EJQTDE, Proc. 6th coll. QTDE. 10. 1-19 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yoshiyuki Hino, Satoru Murakami: "Total stability in abstract functional differential equations with infinite delay"EJQTDE, Proc. 6th coll. QTDE. 13. 1-15 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Satoru Murakami, Toshiki Naito, Nguyen Van Minh: "Spectral analysis of an operator associated with linear functional differential equations and its applications"EJQTDE, Proc. 6th coil. QTDE. 20. 1-15 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Satoru Murakami, Toshiki Naito, Nguyen Van Minh: "Evolution semigroups and sums of commuting operators : A new approach to the addmissibility theory of function spaces"J. Differential Equations. 164. 240-285 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jong Son Shin, Toshiki Naito, Nguyen Van Minh: "On stability of solutions in linear autonomous functional differential equations"Funkcialaj Ekvacioj. 43. 323-337 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh, Rinko Miyazaki, Jong Son Shin: "A decomposition theorem for bounded solutions and the existence of periodic solutions of periodic differential equations"Journal of Differential Equations. 160. 263-282 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Jong Son Shin: "Uniqueness of periodic solutions to periodic functional differential equations with finite delay"数理解析研究所講究録. 1128. 28-36 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] 牛島照夫, 増田 茂: "二次元外部ラプラスならびにヘルムホルツ問題に対するFEMFSM結合解法"核融合科学研究所 研究レポート. 165-174 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] USHIJIMA Teruo: "Continuous and discrete Fourier coefficients of equPdistant piecewise linear continuous periodic functions -Application to mathematical analysis of an FEM-CSM combined method for 2D exterior Laplace problems"数理解析研究所講究録. 1145. 263-282 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Furumochi: "Periodic solutions of an integral equation"Stability and Control. 10. (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.Furumochi: "Boundedness and periodic solutions of Volterra integro-differential equations"Proceedings of the International Conference on Differential Equations and Computational Simulations. 85-94 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Yamaguchi: "Self-homotopy equivalences of SO(4)"Hiroshima Math.J. 30. 129-136 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A.Kozlowski, K.Yamaguchi: "Topology of complements of discriminants and resultants"J. Math. Soc. Japan. 52. 949-959 (2000)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jong Son Shin, Toshiki Naito: "Existence and continuous dependence of mild solutions to semilinear functional differential equations in Banach spaces"Tohoku Mathematical Journal. 51. 555-583 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] John Son Shin, Toshiki Naito, Nguyen Van Minh: "On stability of solutions in linear autonomous functional differential equations"数理解析研究所講究録. 1083. 231-242 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh, Jong Son Shin: "Evolution semigroups and harmonic analysis of bounded solutions of evolution equations"数理解析研究所講究録. 1083. 166-168 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh: "Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolutions equations"Journal of Differential Equations. 152. 358-376 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh: "On a spectral criterion for almost periodicity of solutions to periodic evolutions equations"Electronic Journal of Qualitative Theory of Differential Equations. 1. 1-28 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yoshiyuki Hino: "Skew product flows of quasi-processes and stabilities"Fields Institute Communications. 21. 269-277 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.A.Guest, A.Kozlowski, K.Yamaguchi: "Spaces of polynomials with roots of bounded multiplicity"Fundamenta Math. 161. 93-117 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K.Yamaguchi: "Complements of resultants and homotopy types"J. Math. Kyoto Univ.. 39. 675-684 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Hino, T.Naito, N.V.Minh, J.S.Shin: "Almost Periodic Solutions of Differential Equations in Banach Spaces"Taylor & Francis. 250 (2002)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yosiyuki Hino, Satoru Murakami, Toshiki Naito and Nguyen Van Minh: "A variation-of-constants formula for abstract functional differential equations in the phase space"J. Differential Equations. vol.179. 336-335 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Yamaguchi: "Speces of polynomials with real roots of bounded multiplicity"J. Math. Kyoto Univ.. 42 (to appear). (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] KAKO, Takashi and NASIR, H. Mohamed: "Essential spectrum and mixed type finite element method"Lecture Notes in Computational Scikence and Engineering, Mathematical Modeling and Numerical Simulation in Continuum Mechanics, Proceedings of International Symposium on Mathematical Modeliing and Numerical Simulation in Continuum Mechanics. 19. 155-167 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Hirata and K. Yamaguchi: "Spaces of polynomials without 3-fold real roots"J. Math. Kyoto Univ.. (to appear).

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Yamaguchi: "Universal coverings of spaces of holomorphic maps"Kyushu J. Math.. 56 (to appear). (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Naito, Nguyen V.M. and J.S. Shin: "Almost periodic solutions of differential equations in Banach spaces : Some new results and methods"Vietnam J. Math.. 29,4. 295-330 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Naito, Nguyen V.M., R. Miyazaki and Y. Hamaya: "Boundedness and almost periodicity in dynamical systems"J. Difference Equations and Applications. 7. 507-527 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Jong Song Shin and Nguyen Van Minh: "Periodic solutions of linear differential equations"RIMS Kokyuroku. 1216. 78-89 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Ushijima: "Error estimate of FEM-CSM approximation solution of 2D Laplace problem on the exterior region (in Japanese)"RIMS Kokyuroku. 1198. 122-127 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] KATO, Takashi, KANO, Tomotoshi, LIU, Xiao-Jin, and YAMASHITA, Takehiko: "Domain decomposition method applied to radiation problems"Proceedings of 12th DDM International Conference. 381-392 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] NASIR, H. Mohamed and KAKO, Takashi: "fictitious domain method for structural-acoustic coupling problem in unbounded region"Theoretical and Applied Mechanics. 50. 391-401 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh and Jong Son Shin: "Periodic and almost periodic solutions of functional differential equations with finite and infinite delay"Proceedings of the Third World Congress of Nonlinear Analysis, Nonlinear Analysis. 47. 3989-3999 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yoshiyuki Hino and Satoru Murakami: "Total stability in abstract functional differential equations with infinite delay"Proceedings of the Third World Congress of Nonlinear Analysis, Nonlinear Analysis. 47. 4025-4036 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jong Son Shin, Toshiki Naito and Nguyen Van Minh: "Existence and uniqueness of periodic solutions to periodic linear functional differential equations with finite delay"Funkcialaj Ekvacioj. 44. 53-71 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh and Jong Son Shin: "New spectral criteria for almost periodic solutions of evolution equations"Studia Mathematica. 145. 97-111 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A. burton and T. Furumochi: "Existence theorems and periodic solutions of neutral integral equations"Nonlinear Analysis. 43. 527-546 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A. Burton and T. Furumochi: "Fixed Points and problems in stability theory for ordinary and functional differential equations"Dynamic Systems and Applications. 10. 89-116 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A. Burton and T. Furumochi: "A note on stability by Schauder's theorem"Funkcialaj Ekvacioj. 44. 73-82 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Yamaguchi: "Spaces of holomorphic maps with bounded multiplicity"Quart. J. Math.. vol.52. 249-259 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh and Jong Son Shin: "On the spectrum of some functional differential equations"Proceedings of "Semigroups of Operators : Theorey and Applications, International Conference in Newport Beach, December 14-18, 1998", edited by Balakrishnan, Progress in Nonlinear Differential Equations and Their Applications. 42. 222-228 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T.A. Burton and T. Furumochi: "Periodic and asymptotically periodic solutions of neutral integral equations"EJQTDE, Proc. 6th coll. QTDE. No.10 (http://www.math.uszeged.hu/ejqtde/6/). 19 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yoshiyuki Hino and Satoru Murakami: "Total stability in abstract functional differential equations with infinite delay"EJQTDE, Proc. 6th coll. QTDE. No.13 (http://www.math.uszeged.hu/ejqtde/6/). 15 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Satoru Murakami, Toshiki Naito and Nguyen Van Minh: "Spectral analysis of an operator associated with linear functional differntial equations and its applications"EJQTDE, Proc. 6th coll. QTDE. No.20 (http;//www.math.uszeged.hu/ejqtde/6/). 15 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Satoru Murakami, Toshiki Naito and Nguyen Van Minh: "Evolution semigroups and sums of commuting operators : A new approach to the addmissibility theory of function spaces"J. Differential Equations. 164. 240-285 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jong Son Shin, Toshiki Naito and Nguyen Van Minh: "On stability of solutions in linear autonomous functional differential equations"Funkcialaj Ekvacioj. 43. 323-337 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh, rinko Miyazaki and Jong Son Shin: "A decomposition theorem for bounded solutions and the existence of periodic solutions of periodic differential equations"J. of Differential Equations. 160. 263-282 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito and Jong Son Shin: "Uniqueness of periodic solutions to periodic functional differential equations with finite delay"RIMS Kokyuroku. 1128. 28-36 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
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      2001 Final Research Report Summary
  • [Publications] T. Ushijima and S. Masuda: "FEM-FSM combined method for 2D exterior Laplace and Helmholz problem"Report of Institute of Science of Nuclear Fusion. 165-174 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] USHIJIMA Teruo: "Continuous and discrete fourier coefficients of equi-distant piecewise linear continuous periodic functions - Application to mathmatical analysis of an FEM-CSM combined method for 2D exterioa Laplace problems -"RIMS Kokyuroku. 1145. 238-246 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Furumochi: "Periodic solutions of an integral equation"Stability and Control. 10. (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] T. Furumochi: "boundedness and periodic solutions of Volterra integro-differential equations"Proceedings of the International Conference on Differential Equations and Computational Simulations. 85-94 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Yamaguchi: "Self-homotopy equivalences of SO(4)"Hiroshima Math. J.. 30. 129-136 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] A. Kozlowski and K. Yamaguchi: "Topology of complements of discriminants and resultants"J. Math. Soc. Japan. 52. 949-959 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Jong Son Shin and Toshiki Naito: "Existence and continuous dependence of mild solutions to semilinear functional differential equations in Banach spaces"Tohoku Mathematical Journal. 51. 555-583 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] John Son Shin, Toshiki Naito and Nguyen Van Minh: "On stability of solutions in linear autonomous functional differential equations"RIMS Kokyuroku. 1083. 231-242 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito, Nguyen Van Minh and Jong son Shin: "Evolution semigroups and harmonic analysis of bounded solutions of evokution equations"RIMS Kokyuroku. 1083. 166-168 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito and Nguyen Van Minh: "Evolution semigroups and spectral criteria for almost periodic solutions of periodic evolutions equations"J. Differential Equations. 152. 358-376 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Toshiki Naito and Nguyen Van Minh: "On a spectral criterion for almost periodicity of solutions to periodic evolutioins equations"Electronic Journal of Qualitative Theory of Differential Equations. 1. 1-28 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Yoshiyuki Hino: "Skew product flows of quasi-processes and stabilities"Fields Institute Communications. 21. 269-277 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] M.A. Guest, A. Kozlowski and K. Yamaguchi: "Spaces of polynomials with roots of bounded multiplicity"Fundamenta Math.. 161. 93-117 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] K. Yamaguchi: "Complements of resultants and homotopy types"J. Math. Kyoto Univ.. 39. 675-684 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y. Hino, T. Naito, N.V. Minh and J.S. Shin: "Almost Periodic Solutions of Differential Equations in Banach Spaces"Taylor & Francis. 250 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      2001 Final Research Report Summary
  • [Publications] Y.Hino, S.Murakami, T.Naito, N.V.Minh: "A variation-of-constants formula for abstract functional differential equations In Banach space"J. Differential Equations. 179. 336-355 (2002)

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      2001 Annual Research Report
  • [Publications] T.Naito, N.V.Mint, R.Miyazaki, Y.Hamaya: "Boundedness and almost periodicity in dynamicalsystems"J.Difference Equations and Applications. 7. 507-527 (2001)

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      2001 Annual Research Report
  • [Publications] J.S.Shin, T.Naito, N.V.Minh: "Existence and uniqueness of periodic solution to periodic linear functional Differential equations with finite delay"Funkcailaj Ekvacioj. 44・1. 53-71 (2001)

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      2001 Annual Research Report
  • [Publications] T.Naito, N.V.Minh, J.S.Shin: "New spectral criteria for almost periodic solutions of evolution equations"Studia Mathematica. 145・2. 97-111 (2001)

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  • [Publications] T.A.Burton, T.Furumochi: "A note on stability by Schauder's theorem"Funkcialaj Ekvacioj. 44・1. 73-82 (2001)

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  • [Publications] T.Furumochi: "Periodic solutions of Volterra difference equations and attractivity"Nonlinear Analysis : Theory, Mehods & Applications. 47・4. 4013-4024 (2001)

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  • [Publications] Y.Hino, T.Naito, N.V.Minh, J.S.Shin: "Almost Periodic Solutions of Differential Equations in Banach Spaces"Taylor & Francis. 250 (2002)

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      2001 Annual Research Report
  • [Publications] J.S.Shin,T.Naito and N.V.Minh: "On stability of solutions in linear autonomous functional differential equations"Funkcialaj Ekvacioj. 43. 323-337 (2000)

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      2000 Annual Research Report
  • [Publications] S.Murakami,T.Naito and N.V.Minh: "Evolution semigroups and sums of commuting operators"Journal of Differential Equations. 164. 240-285 (2000)

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      2000 Annual Research Report
  • [Publications] S.Murakami,T.Naito and N.V.Minh: "Spectral analysis of an operator associated with linear f.d.e's and its applications"Electric J.of Qualitative Theory of Differential Equations. 20. 1-15 (2000)

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      2000 Annual Research Report
  • [Publications] Y.Hino and S.Murakami: "Total stability in abstract functional differential equations with infinite delay"Electric J.of Qualitative Theory of Differential Equations. 13. 1-19 (2000)

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      2000 Annual Research Report
  • [Publications] T.A.Burton and T.Furucomhi : "Existence theorems and periodic solutions of neutral integral equations"Nonlinear Analysis. 43. 527-546 (2001)

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      2000 Annual Research Report
  • [Publications] T.Furumochi: "Periodic solutions of an integral equation"Stability and Control. 10. 203-210 (2000)

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      2000 Annual Research Report
  • [Publications] T.Naito,Nguyen V.M.,R.Miyazaki and J.S.Shin: "A decomposition theorem and the existence of periodic solutions of periodic differential equations"Journal of Differential Equations. 160. 263-282 (2000)

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      1999 Annual Research Report
  • [Publications] J.S Shin and T.Naito: "Semi-Fredholm operators and periodic solutions for linear functional differential equations"Journal of Differential Equations. 153. 407-441 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Jong Son Shin and Toshiki Naito: "Existence and continuous dependence of mild solutions to semilinear functional differential equations in Banach spaces"Tohoku Mathematical Journal. 51. 555-583 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] Y.Hino and S.Murakami: "Skew product flows of quasi-processes and stabilities"Fields Institute Communications. 21. 269-278 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] T.Furumochi and S.Matsuoka: "Stability and boundedness in Volterra integro-differential equations"Mem. Fac. Sci. Eng. Shimane Univ. B. 32. 25-40 (1999)

    • Related Report
      1999 Annual Research Report

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Published: 1999-04-01   Modified: 2016-04-21  

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