| Project/Area Number |
19540128
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Nara University of Education |
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Principal Investigator |
ITO Naoharu Nara University of Education, 教育学部, 教授 (90246661)
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| Project Period (FY) |
2007 – 2009
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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥520,000 (Direct Cost: ¥400,000、Indirect Cost: ¥120,000)
Fiscal Year 2007: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | ローラン多項式環 / 時間遅れ / 線形微分方程式系 / 行列方程式 / 自己相反行列多項式 / 線形微分方程式 / ローラン多項式 / 微分差分作用素 |
|---|
| Research Abstract |
In this research, a Laurent polynomial ring obtained from differential equations with a time-delay is investigated. Then, the existence conditions and computation methods of solutions for matrix equations over the ring are studied. We can apply these results to the investigation of qualitative properties of the differential equations with a time-delay. Moreover, the distribution of zeros of a self-reciprocal polynomial is also studied.
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