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A New Departure for Phase Plane Analysis in Continuous and Discrete Dynamical Systems

Research Project

Project/Area Number 19540182
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Basic analysis
Research InstitutionShimane University

Principal Investigator

SUGIE Jitsuro  Shimane University, 総合理工学部, 教授 (40196720)

Co-Investigator(Kenkyū-buntansha) 町原 秀二  埼玉大学, 教育学部, 准教授 (20346373)
松永 秀章  大阪府立大学, 大学院・工学研究科, 講師 (40332960)
宮崎 倫子  静岡大学, 工学部, 准教授 (40244660)
山岡 直人  大阪府立大学, 大学院・工学研究科, 助教 (90433789)
Co-Investigator(Renkei-kenkyūsha) MACHIHARA Shuji  埼玉大学, 教育学部, 准教授 (20346373)
MATSUNAGA Hideaki  大阪府立大学大学院, 工学研究科, 准教授 (40332960)
MIYAZAKI Rinko  静岡大学, 工学部, 准教授 (40244660)
YAMAOKA Naoto  大阪府立大学大学院, 工学研究科, 助教 (90433789)
Project Period (FY) 2007 – 2008
Project Status Completed (Fiscal Year 2008)
Budget Amount *help
¥3,120,000 (Direct Cost: ¥2,400,000、Indirect Cost: ¥720,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2007: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords線形微分方程式系 / 半分線形微分方程式 / 振動定理 / 非振動定理 / 漸近安定性 / 一様安定性 / フロッケ理論 / 極限閉軌道 / ハミルトン系 / リエナール方程式系 / p-ラプラシアン / 減衰項 / 大域的漸近安定性
Research Abstract

常微分方程式(連続型)及び差分方程式(離散型)の解の漸近的挙動を定性的に考究するとともに,それらを関数微分方程式(即ち,時間遅れを考慮する微分方程式)や楕円型方程式の研究に応用した。一例を挙げるならば,変数係数をもつ線形方程式や準線形微分方程式を対象に,解の振動性や零解の大域的漸近安定性について,数多くの先行研究を大きく改良できた。その秘訣は,これらの方程式と同値な方程式系に対して相平面解析を駆使したことにある。また,この相平面解析法は3次元方程式系に対しても有効であることを示した。

Report

(3 results)
  • 2008 Annual Research Report   Final Research Report ( PDF )
  • 2007 Annual Research Report
  • Research Products

    (90 results)

All 2009 2008 2007 Other

All Journal Article (42 results) (of which Peer Reviewed: 41 results) Presentation (48 results)

  • [Journal Article] Influence of anti-diagonals on the a symptotic stability for linear differential systems2009

    • Author(s)
      J. Sugie
    • Journal Title

      Monatshefte fur Mathematik 157

      Pages: 163-176

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic stability conditions for a delay difference system2009

    • Author(s)
      F. Kawahigashi, H. Matsunaga
    • Journal Title

      Advanced Studies in Pure Mathematics 53

      Pages: 117-125

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global behavior of a two-dimensional monotone difference system2009

    • Author(s)
      M. Inoue, H. Matsunaga
    • Journal Title

      Advanced Studies in Pure Mathematics 53

      Pages: 87-97

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Convergence of solutions of time-varying linear systems with integrable forcing term2008

    • Author(s)
      J. Sugie
    • Journal Title

      Bulletin of the Australian Mathematical Society 78

      Pages: 445-462

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global asymptotic stability for half-linear differential systems with coefficients of indefinite sign2008

    • Author(s)
      J. Sugie, M. Onitsuka
    • Journal Title

      Archivum Mathematicum (Brno) 44

      Pages: 317-334

    • NAID

      120006221258

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Nonoscillation criteria for second-order Nonlinear differential equations with decaying coefficients2008

    • Author(s)
      J. Sugie
    • Journal Title

      Mathematische Nachrichten 281

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A nonoscillation theorem for half-linear differential equations with periodic coefficients2008

    • Author(s)
      J. Sugie, K. Matsumura
    • Journal Title

      Applied Mathematics and Computation 199

      Pages: 447-455

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometrical conditions for oscillation of second-order linear and half-linear differential equations2008

    • Author(s)
      J. Sugie
    • Journal Title

      Acta Mathematica Hungarica 118

      Pages: 369-394

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Delay-dependent and delay-independent stability criteria for a delay differential system2008

    • Author(s)
      H. Matsunaga
    • Journal Title

      Proceedings of the American Mathematical Society 36

      Pages: 4305-4312

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Perron type theorems for functional differential equations with infinite delay in a Banach space2008

    • Author(s)
      K. Matsui, H. Matsunaga, S. Murakami
    • Journal Title

      Nonlinear Analysis 69

      Pages: 3821-3837

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Geometrical conditions for oscillation of second-order linear and half-linear differential equations2008

    • Author(s)
      J. Sugie
    • Journal Title

      Acta Mathematica Hungarica Vol. 118, No. 4

      Pages: 369-394

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A nonoscillation theorem for half-linear differential equations with periodic coefficients2008

    • Author(s)
      J. Sugie, K. Matsumura
    • Journal Title

      Applied Mathematics and Computation Vol. 199, No. 2

      Pages: 447-455

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonoscillation criteria for second-order nonlinear differential equationswith. decaying coefficients2008

    • Author(s)
      J. Sugie
    • Journal Title

      Mathematische Nachrichten Vol. 281, No. 11

      Pages: 1624-1637

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global asymptotic stability for half-linear differential systems with coefficients of indefinite sign2008

    • Author(s)
      J. Sugie, M. Onitsuka
    • Journal Title

      Archivum Mathematicum (Brno) Vol. 44, No. 4

      Pages: 317-334

    • NAID

      120006221258

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Convergence of solutions of time-varying linear systems with integrable forcing term2008

    • Author(s)
      J. Sugie
    • Journal Title

      Bulletin of the Australian Mathematical Society Vol. 78, No. 3

      Pages: 445-462

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Geometrical conditions for oscillation of second-order linear and half-linear differential equations2008

    • Author(s)
      J. Sugie
    • Journal Title

      Acta Mathematica Hungarica Vol.118, No.4

      Pages: 369-394

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global asymptotic stability for damped half-linear differential equations2007

    • Author(s)
      J. Sugie, M. Onitsuka
    • Journal Title

      Acta Scientiarum Mathematicarum (Szeged) 73

      Pages: 613-636

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Existence of limit cycles for Lienard-type systems with p-Laplacian2007

    • Author(s)
      J. Sugie, A. Kono, A. Yamaguchi
    • Journal Title

      NoDEA Nonlinear Differential Equations and Applications 14

      Pages: 91-110

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions of nonautonomous2007

    • Author(s)
      J. Sugie, M. Onitsuka, A. Yamaguchi
    • Journal Title

      half-linear differential systems 44

      Pages: 159-189

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Bilinear estimates for the transport equations, asymptotic analysis and singularities------hyperbolic and dispersive PDEs and fluid mechanics2007

    • Author(s)
      S. Machihara
    • Journal Title

      Advanced Studies in Pure Mathematics 47

      Pages: 189-196

    • Related Report
      2008 Final Research Report
  • [Journal Article] The Cauchy problem for the 1-D Dirac-Klein-Gordon equation2007

    • Author(s)
      S. Machihara
    • Journal Title

      NoDEA Nonlinear Differential Equations and Applications 14

      Pages: 625-641

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Dirac equation with certain quadratic nonlinearities in one space dimension2007

    • Author(s)
      S. Machihara
    • Journal Title

      Commun. Contemp. Mathematics 9

      Pages: 421-435

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] The explicit solutions to the nonlinear Dirac equation and Dirac-Klein-Gordon equation2007

    • Author(s)
      S. Machihara, T. Omoso
    • Journal Title

      Ricerche di Matematica 56

      Pages: 19-30

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Global attractivity for a nonlinear differential equation with unbounded delay2007

    • Author(s)
      H. Matsunaga
    • Journal Title

      International Journal of Qualitative Theory of Differential Equations and Applications 1

      Pages: 1-7

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Exact stability criteria for delay differential and difference equations2007

    • Author(s)
      H. Matsunaga
    • Journal Title

      Applied Mathematical Letter 20

      Pages: 183-188

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic behavior of solutions of nonautonomous half-linear differential systems2007

    • Author(s)
      J. Sugie, M. Onitsuka and A. Yamaguchi
    • Journal Title

      Studia Scientiarum Mathematicarum Hungarica Vol.44, No.2

      Pages: 159-189

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence of limit cycles for Lienard-type systems with p-Laplacian2007

    • Author(s)
      J. Sugie, A. Kono and A. Yamaguchi
    • Journal Title

      NoDEA Nonlinear Differential Equations and Applications Vol.14, No.1-2

      Pages: 91-110

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global asymptotic stability for damped half-linear differential equations2007

    • Author(s)
      J. Sugie and M. Onitsuka
    • Journal Title

      Acta Scientiarum Mathematicarum (Szeged) Vol.73, No.3-4

      Pages: 613-636

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Attractivity for two-dimensional linear systems whose anti-diagonal coefficients are periodic

    • Author(s)
      J. Sugie, A. Endo
    • Journal Title

      Proceedings of the American Mathematical Society (掲載決定済)

      Pages: 0-0

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic stability for three-dimensional nonlinear systems including a Hamilton system

    • Author(s)
      J. Sugie
    • Journal Title

      International Journal of Qualitative Theory of Differential Equations and Applications (掲載決定済)

      Pages: 0-0

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic stability for three-dimensional linear differential systems with time-varying coefficients

    • Author(s)
      J. Sugie, Y. Ogami
    • Journal Title

      Quarterly of Applied Mathematics (掲載決定済)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] A nonoscillation theorem for half-linear differential equations with delay nonlinear perturbations

    • Author(s)
      N. Yamaoka
    • Journal Title

      Differential Equations and Applications (掲載決定済)

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability regions for linear delay differential equations with four parameters

    • Author(s)
      H. Matsunaga
    • Journal Title

      International Journal of Qualitative Theory of Differential Equations and Applications (掲載決定済)

      Pages: 0-0

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability switches in a system of linear differential equations with diagonal delay

    • Author(s)
      H. Matsunaga
    • Journal Title

      Applied Mathematical Computation (掲載決定済)

      Pages: 0-0

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Stability criteria for a class of linear differential equations with off-diagonal delays, Discrete and Continuous Dynamical Systems

    • Author(s)
      M. Suzuki, H. Matsunaga
    • Journal Title

      Discrete and Continuous Dynamical Systems (掲載決定済)

      Pages: 0-0

    • Related Report
      2008 Final Research Report
    • Peer Reviewed
  • [Journal Article] Infdifferential systems

    • Author(s)
      J. Sugie
    • Journal Title

      Monatshefte fur Mathematik (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymnptotic stability for three-dimensional linear differential systems with time-varying coefficients

    • Author(s)
      J. Sugie, Y. Ogami
    • Journal Title

      Quarterly of Applied Mathematics (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Asymptotic stability for three-dimensional nonlinear systems including a Hamilton system

    • Author(s)
      J. Sugie
    • Journal Title

      International Journal of Qualitative Theory of Differential Equations and Applications (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Attractivity for two-dimensional linear systems whose anti-diagonal coefficients are periodic

    • Author(s)
      J. Sugie, A. Endo
    • Journal Title

      Proceedings of the American Mathematical Society (印刷中)

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A nonoscillation theorem for half-linear differential equations with periodic coefficients

    • Author(s)
      J. Sugie and K. Matsumura
    • Journal Title

      Applied Mathematics and Computation (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Nonoscillation criteria for second-order nonlinear differential equations with decaying coefficients

    • Author(s)
      J. Sugie
    • Journal Title

      Mathematische Nachrichten (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Influence of anti-diagonals on the asymptotic stability for linear differential systems

    • Author(s)
      J. Sugie
    • Journal Title

      Monatshefte fur Mathematik (印刷中)

    • Related Report
      2007 Annual Research Report
    • Peer Reviewed
  • [Presentation] 1次元p-Laplacianをもつ非線形微分方程式の振動に対する比較定理2009

    • Author(s)
      山岡直人
    • Organizer
      日本数学会2009年度年会
    • Place of Presentation
      東京大学
    • Year and Date
      2009-03-26
    • Related Report
      2008 Final Research Report
  • [Presentation] 変数係数をもつ2次元線形系の零解の一様漸近安定性2009

    • Author(s)
      鬼塚政一,杉江実郎
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      大阪府立大学工学部
    • Year and Date
      2009-03-04
    • Related Report
      2008 Final Research Report
  • [Presentation] 周期係数をもつ2次元微分方程式系の零解の一様安定性と吸収性2009

    • Author(s)
      遠藤綾乃,杉江実郎
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      大阪府立大学工学部
    • Year and Date
      2009-03-04
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] 外力項をもつ3次元微分方程式系の解の大域的収束条件2009

    • Author(s)
      加登田麻衣,杉江実郎
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      大阪府立大学工学部
    • Year and Date
      2009-03-04
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] 変数係数をもっ2次元線形系の零解の一様漸近安定性2009

    • Author(s)
      鬼塚政一, 杉江実郎
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      大阪府立大学工学部
    • Year and Date
      2009-03-04
    • Related Report
      2008 Annual Research Report
  • [Presentation] 特定の項に時間遅れをもつ方程式の漸近安定性2009

    • Author(s)
      松永秀章
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      大阪府立大学工学部
    • Year and Date
      2009-03-03
    • Related Report
      2008 Final Research Report
  • [Presentation] 2次元線形時変系の零解の一様漸近安定性2009

    • Author(s)
      鬼塚政一,杉江実郎
    • Organizer
      振動理論ワークショップ
    • Place of Presentation
      愛媛大学理学部
    • Year and Date
      2009-02-07
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] 2階準線形楕円型方程式の振動条件について2009

    • Author(s)
      山岡直人
    • Organizer
      振動理論ワークショップ
    • Place of Presentation
      愛媛大学理学部
    • Year and Date
      2009-02-07
    • Related Report
      2008 Final Research Report
  • [Presentation] あるDelay Feedback制御による周期解の安定化問題(招待講演)2008

    • Author(s)
      宮崎倫子,内藤敏機,申正善
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      京都大学理学部
    • Year and Date
      2008-12-20
    • Related Report
      2008 Final Research Report
  • [Presentation] ハミルトン系を内包する3次元非線形系の零解の一様安定性と漸近安定性2008

    • Author(s)
      杉江実郎
    • Organizer
      関数方程式のダイナミックと数理モデル
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-06
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Delayed Feedback 方程式とその性質2008

    • Author(s)
      申正善,内藤敏機,宮崎倫子
    • Organizer
      関数方程式のダイナミックと数理モデル
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-05
    • Related Report
      2008 Final Research Report
  • [Presentation] 3結合van der Pol振動子の同期解について2008

    • Author(s)
      斉藤勝也,宮崎倫子
    • Organizer
      関数方程式のダイナミックと数理モデル
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2008-11-04
    • Related Report
      2008 Final Research Report
  • [Presentation] 3次元時変線形システムの零解の漸近安定性2008

    • Author(s)
      杉江実郎
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学大岡山キャンパス
    • Year and Date
      2008-09-24
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] ある線形微分方程式系の漸近安定性に対する対角成分の時間遅れの影響2008

    • Author(s)
      松永秀章,橋本浩樹,原 惟行
    • Organizer
      日本数学会2008年度秋季総合分科会
    • Place of Presentation
      東京工業大学
    • Year and Date
      2008-09-24
    • Related Report
      2008 Final Research Report
  • [Presentation] Stability switches in a linear differential equation with diagonal delay2008

    • Author(s)
      松永秀章
    • Organizer
      札幌医科大学における微分方程式セミナー
    • Place of Presentation
      札幌医科大学記念ホール
    • Year and Date
      2008-09-02
    • Related Report
      2008 Final Research Report
  • [Presentation] 3次元非線形微分方程式系の零解の漸近安定性2008

    • Author(s)
      杉江実郎
    • Organizer
      札幌医科大学における微分方程式セミナー
    • Place of Presentation
      札幌医科大学記念ホール
    • Year and Date
      2008-09-01
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] 周期解の安定化問題について-特性指数を中心に-2008

    • Author(s)
      申正善,内藤敏機,宮崎倫子
    • Organizer
      札幌医科大学における微分方程式セミナー
    • Place of Presentation
      札幌医科大学記念ホール
    • Year and Date
      2008-09-01
    • Related Report
      2008 Final Research Report
  • [Presentation] Stability analysis and mode decomposition for three coupled van der Pol oscillators2008

    • Author(s)
      K. Saitoh, R. Miyazaki
    • Organizer
      The Second China-Japan Colloquium of Mathematical Biology
    • Place of Presentation
      岡山大学環境理工学部
    • Year and Date
      2008-08-06
    • Related Report
      2008 Final Research Report
  • [Presentation] Delay-dependent and delay-independent stability criteria for delay differential equations, (Invited Lecture)2008

    • Author(s)
      H. Matsunaga
    • Organizer
      International Conference on Differential and Difference Equations
    • Place of Presentation
      Regional Center of the Hungarian Academy of Sciences
    • Year and Date
      2008-07-15
    • Related Report
      2008 Final Research Report
  • [Presentation] Asymptotic stability for three-dimensional linear time-varying systems (Invited Lecture)2008

    • Author(s)
      J. Sugie
    • Organizer
      International Conference on Differential and Difference Equations
    • Place of Presentation
      Regional Center of the Hungarian Academy of Sciences
    • Year and Date
      2008-07-14
    • Related Report
      2008 Annual Research Report 2008 Final Research Report
  • [Presentation] Oscillation problems for half-linear differential equations with nonlinear perturbations2008

    • Author(s)
      N. Yamaoka
    • Organizer
      World Congress of Nonlinear Analysts (WCNA 2008)
    • Place of Presentation
      Hyatt Grand Cypress Resort in Orlando (Florida)
    • Year and Date
      2008-07-09
    • Related Report
      2008 Final Research Report
  • [Presentation] Perron type theorems for functional differential equations with infinite delay in a Banach space2008

    • Author(s)
      松井和幸,松永秀章,村上 悟
    • Organizer
      日本数学会2008年度年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Related Report
      2008 Final Research Report
  • [Presentation] 非線形摂動を伴う半分線形微分方程式の解の振動について2008

    • Author(s)
      山岡直人
    • Organizer
      日本数学会2008年度年会
    • Place of Presentation
      近畿大学
    • Year and Date
      2008-03-23
    • Related Report
      2008 Final Research Report
  • [Presentation] 時間遅れをもつ2次元微分方程式系の解の振動性2008

    • Author(s)
      松永秀章,高橋千尋
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      徳島大学総合科学部
    • Year and Date
      2008-03-02
    • Related Report
      2008 Final Research Report
  • [Presentation] 非線形微分方程式に対するペロン型の定理について2008

    • Author(s)
      松永秀章,中野佑亮
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      徳島大学総合科学部
    • Year and Date
      2008-03-01
    • Related Report
      2008 Final Research Report
  • [Presentation] 外力項をもつ変数係数線形微分方程式系の吸収性2008

    • Author(s)
      杉江実郎
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      徳島大学総合科学部
    • Year and Date
      2008-03-01
    • Related Report
      2008 Final Research Report
  • [Presentation] 3次元時変線形システムに対する漸近安定判別法2008

    • Author(s)
      尾上雄一,杉江実郎
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      徳島大学総合科学部
    • Year and Date
      2008-03-01
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] Mathieu の方程式の安定領域の解析法とその応用2008

    • Author(s)
      宮崎倫子
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      徳島大学総合科学部
    • Year and Date
      2008-03-01
    • Related Report
      2008 Final Research Report
  • [Presentation] 周期係数をもつ半分線形微分方程式の解の振動について2008

    • Author(s)
      山岡直人
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      徳島大学総合科学部
    • Year and Date
      2008-03-01
    • Related Report
      2008 Final Research Report
  • [Presentation] 外力項をもつ変数係数線形微分方程式系の吸収性2008

    • Author(s)
      杉江実郎
    • Organizer
      微分方程式の定性的理論ワークショップ
    • Place of Presentation
      徳島大学総合料学部
    • Year and Date
      2008-03-01
    • Related Report
      2007 Annual Research Report
  • [Presentation] Asymptotic stability for three-dimensional linear differential systems2008

    • Author(s)
      杉江実郎,尾上雄一
    • Organizer
      振動理論ワークショップ
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2008-02-10
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] Convergence of solutions of time-varying linear systems2008

    • Author(s)
      杉江実郎
    • Organizer
      振動理論ワークショップ
    • Place of Presentation
      福岡大学セミナーハウス
    • Year and Date
      2008-02-10
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] 変数係数線形微分方程式系の零解の漸近安定性2008

    • Author(s)
      杉江実郎,尾上雄一
    • Organizer
      平成19年度日本数学会中国・四国支部例会
    • Place of Presentation
      山口大学大学会館
    • Year and Date
      2008-01-27
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] 自己随伴非線形微分方程式の臨界減衰について(招待講演)2007

    • Author(s)
      山岡直人
    • Organizer
      微分方程式の総合的研究
    • Place of Presentation
      東京大学
    • Year and Date
      2007-12-14
    • Related Report
      2008 Final Research Report
  • [Presentation] 自己随伴非線形微分方程式の減衰解の漸近挙動について(招待講演)2007

    • Author(s)
      山岡直人
    • Organizer
      広島数理解析セミナー
    • Place of Presentation
      広島大学理学部
    • Year and Date
      2007-12-07
    • Related Report
      2008 Final Research Report
  • [Presentation] 非線形摂動項を伴う半分線形微分方程式の振動問題について2007

    • Author(s)
      山岡直人
    • Organizer
      関数方程式論におけるモデリングと複素解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-08
    • Related Report
      2008 Final Research Report
  • [Presentation] 3次元線形微分方程式系の零解の一様安定性と漸近安定性2007

    • Author(s)
      杉江実郎,尾上雄一
    • Organizer
      関数方程式論におけるモデリングと複素解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-06
    • Related Report
      2008 Final Research Report
  • [Presentation] Stability criteria for a class of linear differential systems with off-diagonal delays2007

    • Author(s)
      鈴木正克,松永秀章,原 惟行
    • Organizer
      関数方程式論におけるモデリングと複素解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-06
    • Related Report
      2008 Final Research Report
  • [Presentation] 3次元線形微分方程式系の零解の一様安定性と漸近安定性2007

    • Author(s)
      杉江実郎, 尾上雄一
    • Organizer
      関数方程式におけるモデリングと複素解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-06
    • Related Report
      2007 Annual Research Report
  • [Presentation] Asymptotic stability for a linear differential system with distributed delays in diagonal terms2007

    • Author(s)
      橋本浩樹,松永秀章,原 惟行
    • Organizer
      関数方程式論におけるモデリングと複素解析
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2007-11-05
    • Related Report
      2008 Final Research Report
  • [Presentation] Delayed Feedback制御による周期軌道の安定化についての数値的検証2007

    • Author(s)
      宮崎倫子
    • Organizer
      界面現象のダイナミクスを解明する最前線の数値解析とその展開III
    • Place of Presentation
      神戸インスティチュート
    • Year and Date
      2007-10-16
    • Related Report
      2008 Final Research Report
  • [Presentation] 一様吸収性を仮定しない線形項をもつ殆線形系の漸近安定性2007

    • Author(s)
      杉江実郎,尾上雄一,鬼塚政一
    • Organizer
      日本数学会2007年度秋季総合分科会
    • Place of Presentation
      東北大学川内北キャンパス
    • Year and Date
      2007-09-21
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] 時間遅れをもつ方程式の解の漸近的性質について(招待講演)2007

    • Author(s)
      松永秀章
    • Organizer
      日本数学会2007年度秋季総合分科会
    • Place of Presentation
      東北大学川内北キャンパス
    • Year and Date
      2007-09-21
    • Related Report
      2008 Final Research Report
  • [Presentation] 殆線形微分方程式系の漸近安定性について2007

    • Author(s)
      杉江実郎,尾上雄一
    • Organizer
      上越教育大学における微分方程式セミナー
    • Place of Presentation
      上越教育大学
    • Year and Date
      2007-08-28
    • Related Report
      2008 Final Research Report 2007 Annual Research Report
  • [Presentation] 結合 van der Pol 方程式の解の漸近挙動について2007

    • Author(s)
      宮崎倫子
    • Organizer
      上越教育大学における微分方程式セミナー
    • Place of Presentation
      上越教育大学
    • Year and Date
      2007-08-28
    • Related Report
      2008 Final Research Report
  • [Presentation] 時間変化する摩擦係数をもつ振り子の漸近安定性2007

    • Author(s)
      杉江実郎,尾上雄一
    • Organizer
      微分方程式湖畔セミナー in 松江2007
    • Place of Presentation
      島根大学総合理工学部
    • Year and Date
      2007-08-03
    • Related Report
      2008 Final Research Report
  • [Presentation] Hillの方程式とその周辺2007

    • Author(s)
      宮崎倫子
    • Organizer
      微分方程式湖畔セミナー in 松江2007
    • Place of Presentation
      島根大学総合理工学部
    • Year and Date
      2007-08-03
    • Related Report
      2008 Final Research Report
  • [Presentation] 時間変化する摩擦係数をもつ振り子の漸近安定性2007

    • Author(s)
      杉江実郎, 尾上雄一
    • Organizer
      微分方程式湖畔セミナーin松江2007
    • Place of Presentation
      島根大学総合理工学部
    • Year and Date
      2007-08-03
    • Related Report
      2007 Annual Research Report

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Published: 2007-04-01   Modified: 2016-04-21  

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