Hiroshi Okamura (岡村 博, Okamura Hiroshi, November 10, 1905 – September 3, 1948) was a Japanese mathematician who made contributions to analysis and the theory of differential equations. He was a professor at Kyoto University.[1][2]
Hiroshi Okamura | |
|---|---|
| Born | 10 November 1905 |
| Died | 3 September 1948 (aged 42) |
| Nationality | Japanese |
| Alma mater | Kyoto University |
| Known for | Okamura's uniqueness theorem |
| Scientific career | |
| Fields | Mathematical analysis, Differential equations |
| Institutions | Kyoto University |
| Notable students | Sigeru Mizohata, Masaya Yamaguti |
He discovered the necessary and sufficient conditions on initial value problems of ordinary differential equations for the solution to be unique.[3] He also refined the second mean value theorem of integration.
Works
edit- Hiroshi Okamura (1941), "Sur l'unicité des solutions d'un système d'équations différentielles ordinaires", Mem. Coll. Sci., Kyoto Imperial Univ. (in French), 23: 225–231
- Hiroshi Okamura (1942), "Condition nécessaire et suffisante remplie par les équations différentielles ordinaires sans points de Peano", Mem. Coll. Sci., Kyoto Imperial Univ. (in French), 24: 21–28
- Hiroshi Okamura (1943), "Sur une sorte de distance relative à un système différentiel", Nippon Sugaku-Buturigakkwai Kizi Dai 3 Ki (in French), 25: 514–523
- Hiroshi Okamura (1950), "On the surface integral and Gauss-Green's theorem", Memoirs of the College of Science, University of Kyoto, A: Mathematics, 26 (9): 5–14, doi:10.1215/kjm/1250778050 (posthumous)
References
edit- ^ Toshizô Matsumoto (1950), "Hiroshi Okamura", Mem. College Sci. Univ. Kyoto Ser. A Math., 26 (1): 1–3, doi:10.1215/kjm/1250778049
- ^ Funkcialaj Ekvacioj, 2 (1959), Profesoro Hirosi OKAMURA, nekrologo (E-e)
- ^ George, John H. (1967), "On Okamura's uniqueness theorem" (PDF), Proceedings of the American Mathematical Society, 18 (4): 764–765
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