• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Elucidation of global dynamics for damped oscillators and dissipative wave equations and its application to biology

Research Project

Project/Area Number 25400165
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Mathematical analysis
Research InstitutionShimane University

Principal Investigator

Sugie Jitsuro  島根大学, 総合理工学研究科, 教授 (40196720)

Co-Investigator(Renkei-kenkyūsha) MATSUNAGA HIDEAKI  大阪府立大学, 工学研究科, 准教授 (40332960)
SAITO YASUHISA  島根大学, 総合理工学研究科, 准教授 (30402241)
ONITSUKA MASAKAZU  岡山理科大学, 理学部, 講師 (20548367)
Research Collaborator Fan Meng  東北師範大学, 数学与統計学院, 教授
Wu Fentao  東北師範大学, 数学与統計学院, 教授
Project Period (FY) 2013-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywords減衰振動子 / 一様漸近安定性 / 大域的漸近安定性 / 振動性 / 差分方程式 / 半分線形微分方程式 / 生態系モデル / 相平面解析 / 関数方程式論 / 楕円型偏微分方程式 / 安定性理論 / 振動性理論 / 連成振動子 / 国際研究者交流 / 中華人民共和国 / 振動理論 / 中国 / 水中の運動 / 半分線形系 / 優線形系 / 船舶の自由横揺れ / 中国:チェコ
Outline of Final Research Achievements

The global dynamics of various damped oscillators and difference equations were clarified from the viewpoint of stability and oscillation of the equilibrium point. Among the obtained research results, that related to the global asymptotic stability of the damped linear oscillator was applied to a time-varying Lotka-Volterra predator-prey model. The global asymptotic stability of the damped super-linear oscillator which was the equation of motion of the object in underwater was also discussed. Furthermore, the global asymptotic stability of the coupled oscillator whose coefficient varies with time and the convergence of radially symmetric solutions of quasi-linear elliptic equations were studied.

Report

(5 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (79 results)

All 2017 2016 2015 2014 2013 Other

All Int'l Joint Research (2 results) Journal Article (12 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 12 results,  Open Access: 8 results,  Acknowledgement Compliant: 10 results) Presentation (61 results) (of which Int'l Joint Research: 18 results,  Invited: 21 results) Remarks (3 results) Funded Workshop (1 results)

  • [Int'l Joint Research] 東北師範大学(中国)

    • Related Report
      2016 Annual Research Report
  • [Int'l Joint Research] 東北師範大学数学与統計学院/北京科技大学数理学院/大連理工大学数学科学学院(中国)

    • Related Report
      2015 Research-status Report
  • [Journal Article] Simple conditions for parametrically excited oscillations of generalized Mathieu equations2017

    • Author(s)
      Kazuki Ishibashi Jitsuro Sugie
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 446 Issue: 1 Pages: 233-247

    • DOI

      10.1016/j.jmaa.2016.07.013

    • NAID

      120006551728

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation2017

    • Author(s)
      Jitsuro Sugie and Masahiko Tanaka
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 145 Issue: 5 Pages: 2059-2073

    • DOI

      10.1090/proc/13338

    • NAID

      120006309238

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Nonoscillation theorems for second-order linear difference equations via the Riccati-type transformation, II2017

    • Author(s)
      Jitsuro Sugie
    • Journal Title

      Applied Mathematics and Computation

      Volume: 304 Pages: 142-152

    • DOI

      10.1016/j.amc.2017.01.048

    • NAID

      120006647773

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] A new application method for nonoscillation criteria of Hille-Wintner type2017

    • Author(s)
      Fentao Wu and Jitsuro Sugie
    • Journal Title

      Monatshefte fur Mathematik

      Volume: 183 Issue: 1 Pages: 201-218

    • DOI

      10.1007/s00605-016-0972-3

    • NAID

      120006471131

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Convergence of radially symmetric solutions for (p,q)-Laplacian elliptic equations2017

    • Author(s)
      Jitsuro Sugie and Masatoshi Minei
    • Journal Title

      Journal of Dynamics and Differential Equations

      Volume: 未定 Issue: 2 Pages: 579-600

    • DOI

      10.1007/s10884-016-9560-4

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Asymptotic stability of coupled oscillators with time-dependent damping2016

    • Author(s)
      Jitsuro Sugie
    • Journal Title

      Qualitative Theory of Dynamical Systems

      Volume: 15 Issue: 2 Pages: 553-573

    • DOI

      10.1007/s12346-015-0175-7

    • NAID

      120006221242

    • Related Report
      2016 Annual Research Report 2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Parameter diagram for global asymptotic stability of damped half-linear oscillators2016

    • Author(s)
      Wei Zheng and Jitsuro Sugie
    • Journal Title

      Monatshefte fur Mathematik

      Volume: 179 Issue: 1 Pages: 149-160

    • DOI

      10.1007/s00605-014-0695-2

    • NAID

      120005647371

    • Related Report
      2015 Research-status Report 2014 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] A necessary and sufficient condition for global asymptotic stability of time-varying Lotka-Volterra predator-prey systems2015

    • Author(s)
      Wei Zheng and Jitsuro Sugie
    • Journal Title

      Nonlinear Analysis

      Volume: 127 Pages: 128-142

    • DOI

      10.1016/j.na.2015.06.031

    • NAID

      120005647363

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Uniform global asymptotic stability for oscillators with superlinear damping2015

    • Author(s)
      Jitsuro Sugie and Kazuya Kira
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 425 Issue: 2 Pages: 827-853

    • DOI

      10.1016/j.jmaa.2014.12.061

    • NAID

      120005647370

    • Related Report
      2014 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Asymptotic stability of a pendulum with quadratic damping2014

    • Author(s)
      Jitusro Sugie
    • Journal Title

      Zeitschrift fur angewandte Mathematik und Physik

      Volume: 65 Issue: 5 Pages: 865-884

    • DOI

      10.1007/s00033-013-0361-x

    • NAID

      120005647367

    • Related Report
      2014 Research-status Report 2013 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Growth conditions for uniform asymptotic stability of damped oscillators, Nonlinear Analysis2014

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

      Nonlinear Analysis

      Volume: 98 Pages: 83-103

    • DOI

      10.1016/j.na.2013.12.005

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Global dynamics of Froude-type oscillators with superlinear damping terms2014

    • Author(s)
      J. Sugie, T. Yamasaki
    • Journal Title

      Acta Applicandae Mathematicae

      Volume: 130 Issue: 1 Pages: 81-113

    • DOI

      10.1007/s10440-013-9839-y

    • NAID

      120005647365

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Presentation] 線形減衰振動子の零解の一様漸近安定性に関する十分条件2017

    • Author(s)
      石橋和樹,杉江実郎
    • Organizer
      平成28年度日本数学会中国・四国支部例会
    • Place of Presentation
      愛媛大学・松山市・城北キャンパス
    • Year and Date
      2017-01-22
    • Related Report
      2016 Annual Research Report
  • [Presentation] 一般化した演算子による二階線形差分方程式の非振動定理2017

    • Author(s)
      田中雅彦,杉江実郎
    • Organizer
      平成28年度日本数学会中国・四国支部例会
    • Place of Presentation
      愛媛大学・松山市・城北キャンパス
    • Year and Date
      2017-01-22
    • Related Report
      2016 Annual Research Report
  • [Presentation] Ince 型微分方程式に対する振動定数2017

    • Author(s)
      石橋和葵,杉江実郎
    • Organizer
      平成28年度日本数学会中国・四国支部例会
    • Place of Presentation
      愛媛大学・松山市・城北キャンパス
    • Year and Date
      2017-01-22
    • Related Report
      2016 Annual Research Report
  • [Presentation] 時間遅れをもつ非線形差分方程式の振動理論と相平面解析2017

    • Author(s)
      土井パティ,松永秀章,杉江実郎
    • Organizer
      平成28年度日本数学会中国・四国支部例会
    • Place of Presentation
      愛媛大学・松山市・城北キャンパス
    • Year and Date
      2017-01-22
    • Related Report
      2016 Annual Research Report
  • [Presentation] A study of uniform asymptotic stability of damped linear oscillators2016

    • Author(s)
      Jitsuro Sugie
    • Organizer
      Japan-China Joint Workshop on Dynamical Systems in Okayama 2016
    • Place of Presentation
      岡山理科大学・岡山市・半田山キャンパス
    • Year and Date
      2016-12-02
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Nonoscillation of second-order non-autonomous linear difference systems2016

    • Author(s)
      Jitsuro Sugie
    • Organizer
      China-Japan Joint Workshopon Mathematics and Statistic
    • Place of Presentation
      中華人民共和国・長春市・東北師範大学
    • Year and Date
      2016-10-09
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonoscillation of second-order linear non-autonomous difference systems2016

    • Author(s)
      杉江実郎
    • Organizer
      常微分方程式の定性的理論ワークショップ
    • Place of Presentation
      島根大学・松江市・松江キャンパス
    • Year and Date
      2016-09-22
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Nonoscillation of second-order non-autonomous linear difference systems2016

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数理学院学術報告会
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2016-09-09
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Asymptotic stability of nonlinear oscillators whose damping term is expressed infinite Fourier series2016

    • Author(s)
      Kazuki Ishihara, Jitsuro Sugie
    • Organizer
      数理学院学術報告会
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2016-09-09
    • Related Report
      2016 Annual Research Report
  • [Presentation] Nonoscillation of second-order linear equations involving a genaralized difference operator2016

    • Author(s)
      Masahiko Tanaka, Jitsuro Sugie
    • Organizer
      数理学院学術報告会
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2016-09-09
    • Related Report
      2016 Annual Research Report
  • [Presentation] Nonoscillation criteria for second-order linear difference equations via the Riccati-type transformation2016

    • Author(s)
      Jitsuro Sugie
    • Organizer
      The 22nd International Conference on Difference Equations and Applications (ICDEA2016)
    • Place of Presentation
      大阪府立大学・大阪市・I-site なんば
    • Year and Date
      2016-07-28
    • Related Report
      2016 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Nonoscillation criteria for second-order linear difference equations by using the Riccati-type transformation2016

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数理学院学術報告会
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2016-06-04
    • Related Report
      2016 Annual Research Report
    • Invited
  • [Presentation] Exponential asymptotic stability for linear time-varying differential system with a constant delay2016

    • Author(s)
      閻岩,杉江実郎
    • Organizer
      平成27年度日本数学会中国・四国支部例会
    • Place of Presentation
      広島大学・東広島市・東広島キャンパス
    • Year and Date
      2016-01-24
    • Related Report
      2015 Research-status Report
  • [Presentation] Asymptotic stability of linear differential equations with impulsive effects2016

    • Author(s)
      石原和樹,杉江実郎
    • Organizer
      平成27年度日本数学会中国・四国支部例会
    • Place of Presentation
      広島大学・東広島市・東広島キャンパス
    • Year and Date
      2016-01-24
    • Related Report
      2015 Research-status Report
  • [Presentation] A nonoscillation theorem for second-order linear difference equations via Riccati-type transformation2016

    • Author(s)
      田中雅彦,杉江実郎
    • Organizer
      平成27年度日本数学会中国・四国支部例会
    • Place of Presentation
      広島大学・東広島市・東広島キャンパス
    • Year and Date
      2016-01-24
    • Related Report
      2015 Research-status Report
  • [Presentation] A new application method for Hille-Wintner type nonoscillation criteria2015

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数理学院学術報告会
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2015-12-26
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Uniform global asymptotic stability for Lotka-Volterra predator-prey systems with seasonal variation2015

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      数理学院学術報告会
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2015-12-26
    • Related Report
      2015 Research-status Report
  • [Presentation] Parametric excitation of generalized Mathieu equations2015

    • Author(s)
      Kazuki Ishibashi, Jitsuro Sugie
    • Organizer
      数理学院学術報告会
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2015-12-26
    • Related Report
      2015 Research-status Report
  • [Presentation] New application method for nonoscillation criteria of Hille-Wintner type2015

    • Author(s)
      Jitsuro Sugie
    • Organizer
      Academic Exchanges between Shimane University and Minnan Normal University
    • Place of Presentation
      中華人民共和国・福建省・ミン南師範大学
    • Year and Date
      2015-12-22
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Uniform global asymptotic stability of Lotka-Volterra predator-prey systems with seasonal variation2015

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      Academic Exchanges between Shimane University and Minnan Normal University
    • Place of Presentation
      中華人民共和国・福建省・ミン南師範大学
    • Year and Date
      2015-12-21
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Parametric excitation of generalized Mathieu equations2015

    • Author(s)
      Kazuki Ishibashi, Jitsuro Sugie
    • Organizer
      Academic Exchanges between Shimane University and Minnan Normal University
    • Place of Presentation
      中華人民共和国・福建省・ミン南師範大学
    • Year and Date
      2015-12-21
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Global asymptotic stability of seasonally changing Lotka-Volterra predator-prey models with two patches2015

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      RIMS Workshop: Qualitative theory of ordinary differential equations in real domains
    • Place of Presentation
      京都大学・京都市・数理解析研究所
    • Year and Date
      2015-11-10
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Global asymptotic stability for superlinear oscillators based on the weighted damping2015

    • Author(s)
      Takashi Yamasaki, Jitsuro Sugie
    • Organizer
      2015 International Workshop on Mathematical Sciences in Dalian
    • Place of Presentation
      中華人民共和国・遼寧省・大連理工大学
    • Year and Date
      2015-10-31
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Whether the lower bound value for non- oscillation given by the Hille-Wintner comparison theorem is best possible?2015

    • Author(s)
      Jitsuro Sugie, Fentao Wu
    • Organizer
      2015 International Workshop on Mathematical Sciences in Dalian
    • Place of Presentation
      中華人民共和国・遼寧省・大連理工大学
    • Year and Date
      2015-10-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Global asymptotic stability for ti,e-varying Lotka-Volterra predator-prey models in a two-patch environment2015

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      2015 International Workshop on Mathematical Sciences in Dalian
    • Place of Presentation
      中華人民共和国・遼寧省・大連理工大学
    • Year and Date
      2015-10-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Parameter region for oscillation of generalized Mathieu equations2015

    • Author(s)
      Kazuki Ishibashi, Jitsuro Sugie
    • Organizer
      2015 International Workshop on Mathematical Sciences in Dalian
    • Place of Presentation
      中華人民共和国・遼寧省・大連理工大学
    • Year and Date
      2015-10-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Global asymptotic stability of radially symmetric solutions for quasi-linear elliptic equations of (p,q)-Laplacian type2015

    • Author(s)
      Masatoshi Minei, Jitsuro Sugie
    • Organizer
      2015 International Workshop on Mathematical Sciences in Dalian
    • Place of Presentation
      中華人民共和国・遼寧省・大連理工大学
    • Year and Date
      2015-10-30
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Global asymptotic stability for time-varying Lotka-Volterra predator-prey models in a two-patch environment2015

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      Japan-China Joint Workshop on Ordinary Differential Equations and Related Topics in Osaka 2015
    • Place of Presentation
      大阪府立大学・堺市・なかもずキャンパス
    • Year and Date
      2015-09-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Uniform stability and uniform asymptotic stability for one-dimension- al delay-differential equations2015

    • Author(s)
      Yang Yang, Jitsuro Sugie
    • Organizer
      Japan-China Joint Workshop on Ordinary Differential Equations and Related Topics in Osaka 2015
    • Place of Presentation
      大阪府立大学・堺市・なかもずキャンパス
    • Year and Date
      2015-09-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Asymptotic behavior of radially symmetric solutions for $(p,q)$-Laplacian elliptic equations2015

    • Author(s)
      Masatoshi Minei, Jitsuro Sugie
    • Organizer
      Japan-China Joint Workshop on Ordinary Differential Equations and Related Topics in Osaka 2015
    • Place of Presentation
      大阪府立大学・堺市・なかもずキャンパス
    • Year and Date
      2015-09-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Parameter region for oscillation of generalized Mathieu equations2015

    • Author(s)
      Kazuki Ishibashi, Jitsuro Sugie
    • Organizer
      Japan-China Joint Workshop on Ordinary Differential Equations and Related Topics in Matsue 2015
    • Place of Presentation
      島根大学・松江市・松江キャンパス
    • Year and Date
      2015-09-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Global asymptotic stability for two-dimensional linear systems with time-dependent coefficients2015

    • Author(s)
      Takashi Yamasaki, Jitsuro Sugie
    • Organizer
      Japan-China Joint Workshop on Ordinary Differential Equations and Related Topics in Matsue 2015
    • Place of Presentation
      島根大学・松江市・松江キャンパス
    • Year and Date
      2015-09-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Convergence of solutions of damped linear oscillators with integrable forcing term2015

    • Author(s)
      Masatoshi Minei, Jitsuro Sugie
    • Organizer
      Japan-China Joint Workshop on Ordinary Differential Equations and Related Topics in Matsue 2015
    • Place of Presentation
      島根大学・松江市・松江キャンパス
    • Year and Date
      2015-09-19
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Asymptotic stability for coupled oscillators with time-varying damping2015

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数学与統計学院学術報告会
    • Place of Presentation
      中華人民共和国・吉林省・東北師範大学
    • Year and Date
      2015-09-12
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Global asymptotic stability for superlinear oscillators based on the weighted damping2015

    • Author(s)
      Takashi Yamasaki, Jitsuro Sugie
    • Organizer
      数学与統計学院学術報告会
    • Place of Presentation
      中華人民共和国・吉林省・東北師範大学
    • Year and Date
      2015-09-12
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] Global asymptotic stability of radially symmetric solutions for quasi-linear elliptic equations of (p,q)-Laplacian type2015

    • Author(s)
      Masatoshi Minei, Jitsuro Sugie
    • Organizer
      数学与統計学院学術報告会
    • Place of Presentation
      中華人民共和国・吉林省・東北師範大学
    • Year and Date
      2015-09-12
    • Related Report
      2015 Research-status Report
    • Invited
  • [Presentation] A necessary and sufficient condition for global asymptotic stability of time-varying Lotka-Volterra predator-prey systems2015

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      2015年日本数理生物学会/日中韓数理生物学コロキウム合同大会
    • Place of Presentation
      同志社大学・京都市・今出川キャンパス良心館
    • Year and Date
      2015-08-28
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] Asymptotic stability of time-varying damped oscillators with multiple degrees of freedom2015

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数学科学学院学術報告会(招待講演)
    • Place of Presentation
      中華人民共和国・遼寧省・大連理工大学
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Uniform global asymptotic stability of time-varyring Lotka-Volterra predator-prey systems2015

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      数学科学学院学術報告会(招待講演)
    • Place of Presentation
      中華人民共和国・遼寧省・大連理工大学
    • Year and Date
      2015-03-24
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Asymptotic stability of multi-degree-of-freedom oscillators with time-dependent damping2015

    • Author(s)
      Jitsuro Sugie
    • Organizer
      常微分方程式ワークショップ松山2015
    • Place of Presentation
      愛媛大学・松山市・城北キャンパス
    • Year and Date
      2015-03-10
    • Related Report
      2014 Research-status Report
  • [Presentation] Nonoscillation theorems for second order half-linear differential equations2015

    • Author(s)
      Fentao, Jitsuro Sugie
    • Organizer
      常微分方程式ワークショップ松山2015
    • Place of Presentation
      愛媛大学・松山市・城北キャンパス
    • Year and Date
      2015-03-10
    • Related Report
      2014 Research-status Report
  • [Presentation] 減衰項をもつ準線形振動子の漸近安定性2015

    • Author(s)
      嶺井政俊,杉江実郎
    • Organizer
      平成26年度日本数学会中国・四国支部例会
    • Place of Presentation
      徳島大学・徳島市・蔵本キャンパス
    • Year and Date
      2015-01-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Mathieu 方程式の解の振動・非振動に関するパラメータ領域2015

    • Author(s)
      石橋和葵,杉江実郎
    • Organizer
      平成26年度日本数学会中国・四国支部例会
    • Place of Presentation
      徳島大学・徳島市・蔵本キャンパス
    • Year and Date
      2015-01-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Uniform global asymptotic stability for predator-prey systems of Lotka-Volterra type2015

    • Author(s)
      鄭巍,杉江実郎
    • Organizer
      平成26年度日本数学会中国・四国支部例会
    • Place of Presentation
      徳島大学・徳島市・蔵本キャンパス
    • Year and Date
      2015-01-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Asymptotic stability of an underwater pendulum with quadratic damping2014

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数理学院学術報告会(招待講演)
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2014-10-30
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Global asymptotic stability of predatr-prey systems taking account of an environmental transformation2014

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      数理学院学術報告会(招待講演)
    • Place of Presentation
      中華人民共和国・北京市・北京科技大学
    • Year and Date
      2014-10-30
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Geometrical conditions for oscillation of linear systems whose coefficients are periodic2014

    • Author(s)
      Kazuki Ishibashi, Jitsuro Sugie
    • Organizer
      常微分方程式とその周辺に関する日中共同ワークショップ
    • Place of Presentation
      大阪府立大学・堺市・中百舌鳥キャンパス
    • Year and Date
      2014-10-15
    • Related Report
      2014 Research-status Report
  • [Presentation] A criterion for global asymptotic stability of the Lotka-Volterra model in a varying environment2014

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      常微分方程式とその周辺に関する日中共同ワークショップ
    • Place of Presentation
      大阪府立大学・堺市・中百舌鳥キャンパス
    • Year and Date
      2014-10-15
    • Related Report
      2014 Research-status Report
  • [Presentation] A necessary and sufficient condition for asymptotic stability based on the weighted damping2014

    • Author(s)
      Takashi Yamasaki, Jitsuro Sugie
    • Organizer
      常微分方程式とその周辺に関する日中共同ワークショップ
    • Place of Presentation
      大阪府立大学・堺市・中百舌鳥キャンパス
    • Year and Date
      2014-10-15
    • Related Report
      2014 Research-status Report
  • [Presentation] A necessary and sufficient condition for global asymptotic stability of predator-prey systems with time-varying coefficients2014

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      International Workshop on Mathematical Sciences in Matsue
    • Place of Presentation
      島根大学・松江市・松江キャンパス
    • Year and Date
      2014-10-13
    • Related Report
      2014 Research-status Report
  • [Presentation] Smith-type criterion for the asymptotic stability based on the weighted damping2014

    • Author(s)
      山﨑貴士,杉江実郎
    • Organizer
      日本数学会2014年度秋季総合分科会
    • Place of Presentation
      広島大学・東広島市・東広島キャンパス
    • Year and Date
      2014-09-25
    • Related Report
      2014 Research-status Report
  • [Presentation] Difference between asymptotic stability and uniform asymptotic stability for damped linear oscillatiors2014

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数学与統計学院学術報告会(招待講演)
    • Place of Presentation
      中華人民共和国・吉林省・東北師範大学
    • Year and Date
      2014-09-06
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Uniform asymptotic stability for damped linear oscillators2014

    • Author(s)
      Jitsuro Sugie
    • Organizer
      数学与統計学院学術講演会(招待講演)
    • Place of Presentation
      中華人民共和国・福建省・ミン南師範大学
    • Year and Date
      2014-07-04
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] Global asymptotic stability for half-linear oscillators with unbounded time-dependent damping2014

    • Author(s)
      Wei Zheng, Jitsuro Sugie
    • Organizer
      数学与統計学院学術講演会(招待講演)
    • Place of Presentation
      中華人民共和国・福建省・ミン南師範大学
    • Year and Date
      2014-07-04
    • Related Report
      2014 Research-status Report
    • Invited
  • [Presentation] 減衰線形振動子の一様漸近安定性に対する離散的条件2014

    • Author(s)
      杉江実郎,鬼塚政一
    • Organizer
      平成26年度日本数学会年会
    • Place of Presentation
      学習院大学・目白キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Asymptotic stability of an underwater pendulum with quadratic damping2013

    • Author(s)
      J. Sugie
    • Organizer
      Equaduiff 13
    • Place of Presentation
      チェコ共和国・プラハ・カレル大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 粘性圧抵抗の影響を受ける単振子の漸近安定性2013

    • Author(s)
      杉江実郎
    • Organizer
      平成25年度日本数学会秋季総合分科会
    • Place of Presentation
      愛媛大学・城北キャンパス
    • Related Report
      2013 Research-status Report
  • [Presentation] Uniform asymptotic stability for damped linear oscillators2013

    • Author(s)
      J. Sugie
    • Organizer
      RIMS研究集会『常微分方程式の定性的理論の新展開』
    • Place of Presentation
      京都大学・数理解析研究所111号室
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Asymptotic stability of a damped superlinear pendulum

    • Author(s)
      J. Sugie
    • Organizer
      2013 NENU Mathematical Meeting
    • Place of Presentation
      中華人民共和国・長春・東北師範大学
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] 減衰項をもつ非線形振動子の一様漸近安定性

    • Author(s)
      石坂梢,杉江実郎
    • Organizer
      平成25年度日本数学会中国・四国支部例会
    • Place of Presentation
      島根大学総合理工学部・1号館2階21教室
    • Related Report
      2013 Research-status Report
  • [Presentation] Uniform global asymptotic stability for damped super-half-linear oscillators

    • Author(s)
      喜良和哉,杉江実郎
    • Organizer
      平成25年度日本数学会中国・四国支部例会
    • Place of Presentation
      島根大学総合理工学部・1号館2階21教室
    • Related Report
      2013 Research-status Report
  • [Remarks] 島根大学学術情報リポジトリ

    • URL

      http://ir.lib.shimane-u.ac.jp/list/sc/2ebe78fe9043590a467af2c8c9b7c67d

    • Related Report
      2016 Annual Research Report
  • [Remarks] 島根大学総合理工学部数理分野スタッフ紹介

    • URL

      http://www.math.shimane-u.ac.jp/~jsugie/

    • Related Report
      2015 Research-status Report 2014 Research-status Report
  • [Remarks] 島根大学総合理工学部数理分野スタッフ紹介

    • URL

      http://www.math.shimane-u.ac.jp/~jsugie/

    • Related Report
      2013 Research-status Report
  • [Funded Workshop] China-Japan Joint Workshop on Mathematics and Statistic2016

    • Place of Presentation
      Northeast Normal University
    • Related Report
      2016 Annual Research Report

URL: 

Published: 2014-07-25   Modified: 2022-02-16  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi