2012 Fiscal Year Final Research Report
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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| Keywords | 振動理論 / 偏微分方程式 / 零点 / Picone 等式 / Sturm 型比較定理 |
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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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Research Products
(31 results)
