2005 Fiscal Year Final Research Report Summary
Multiplicity and dynamics of solutions of nonlinear differential equations
| Project/Area Number |
14540159
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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 | Yokohama National University |
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Principal Investigator |
HIRANO Norimichi Yokohama National University, Graduate school of Environment and Information Sciences, Professor, 大学院・環境情報研究院, 教授 (80134815)
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| Co-Investigator(Kenkyū-buntansha) |
SHIOJI Naoki Yokohama National University, Graduate school of Environment and Information Sciences, Associate Professor, 大学院・環境情報研究院, 助教授 (50215943)
TAMANO Ken-ichi Yokohama National University, Graduate school of Engineering, Professor, 大学院・工学研究院, 教授 (90171892)
NAITO Koichiro Kumamoto University, Faculty of Engineering, Professor, 工学部, 教授 (10164104)
KOMIYA Hidetoshi Keio University, Faculty of Business, Professor, 商学部, 教授 (90153676)
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| Project Period (FY) |
2002 – 2005
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| Keywords | Lotaka-Volterra / Dirichelt condition / homology / sign changing solution / elliptic problem |
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| Research Abstract |
(1)For the nonlinear elliptic boundary value problem with singular tems, we used the method of nonsmooth analysis which has been developed recently, and got some results on the multiple existence of solutions. The results are improvement of our former joint work with Professor Claudio Saccon in Pisa University.
(2)For the nonlinear elliptic boundary value problem with nonhomogeneous terms, we established the multiple existence results by using variational method. The results ensure the existence of positive, negative and sign changing solutions. This work was done under cooperation with Professor AnnaMaria Micheletti in Pisa University and Angela Pistoia in Rome University.
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