| Project/Area Number |
16540139
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Chiba University |
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Principal Investigator |
HINO Yoshiyuki Chiba University, Graduate School of Science, 教授 (70004405)
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| Co-Investigator(Kenkyū-buntansha) |
INABA Takashi Chiba University, Graduate School of Science, Professor (40125901)
ISHIMURA Ryuichi Chiba University, Graduate School of Science, Professor (10127970)
OKADA Yasunoti Chiba University, Graduate School of Science, Associate Professor (60224028)
NAITO Toshiki University of Electronics and Infomatics, 電気通信学部, Professor (60004446)
MURAKAMI Satoru University of Okayama Science, 理学部, Professor (40123963)
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| Project Period (FY) |
2004 – 2007
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| Project Status |
Completed (Fiscal Year 2007)
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| Budget Amount *help |
¥3,810,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥210,000)
Fiscal Year 2007: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2006: ¥700,000 (Direct Cost: ¥700,000)
Fiscal Year 2005: ¥900,000 (Direct Cost: ¥900,000)
Fiscal Year 2004: ¥1,300,000 (Direct Cost: ¥1,300,000)
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| Keywords | dynamical system / minimal set / functional differential equation / boundedness / stability / 遅れ型微分方程式 / 非自例的 / 一様漸近安定 / 全安定 / 遅れ / 関数偏微公方程式 / 非自励的 / アトラクター |
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| Research Abstract |
There are many methods to discuss nonlinear oscillations for functional differential equations with infinite delay. Dynamical systems are very important for equations with uniqueness property. Another methods are analytic methods. Analytic methods are very difficult, because there are many methods for the case the dimension of phase spaces is infinite or infinite.
In this reports, we consider the only the property of solutions which is called processes. This idea is based by Brown University that is the main place of LaSalle's invariant principle. We have the followings for the above problem: (i) Application to functional differential equations and evolution equations. (ii) Applicaions to partial differential equations. (iii) Construction of general dynamical systems (iv) Construction of the best topology for dynamical systems.
Thus we could discuss many results.
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