Establishment of unified system of oscillation theory concerning zeros of solutions of partial differential equations
| Project/Area Number |
20540159
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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 | University of Toyama |
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Principal Investigator |
YOSHIDA Norio 富山大学, 大学院・理工学研究部(理学), 教授 (80033934)
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| Co-Investigator(Kenkyū-buntansha) |
KOBAYASHI Kusuo 富山大学, 大学院・理工学研究部(理学), 教授 (70033925)
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| Project Period (FY) |
2008 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 振動理論 / 偏微分方程式 / 零点 / Picone 等式 / Sturm 型比較定理 / Picone等式 / 零点定性的理論 / 定性的理論 / Picone(不)等式 / 解 |
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| Research Abstract |
For half-linear elliptic equations with p-Laplacian we established Picone identities, and moreover, Sturmian comparison theorems and oscillation theorems, and so it seems that we completed the unified system. Furthermore, we proceeded to study about equations with p（x)-Laplacians for which we could get great oscillation results.We could obtain sufficient conditions for every solution of functional hyperbolic equations of more general type to oscillate.
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Report
(7 results)
Research Products
(67 results)
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[Journal Article] Eightieth Birthday Anniversary of Kusano Takasi2012
Author(s)
Ravi P. Agarwal, Nikolai Izobov, Ivan Kiguradze, Tariel Kiguradze, Alexander Lomtatidze, Nino Partsvania, Mikola Perestyuk, Nikolai Rozov, Milan Tvrdy and Norio Yoshida
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Journal Title
Memoirs on Differential Equations and Mathematical Physics
Volume: 57
Pages: 1-15
Related Report
Peer Reviewed
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