Hiroshi Okamura

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(1905-11-10)10 November 1905
Kyoto, Japan
Died3 September 1948(1948-09-03) (aged 42)
NationalityJapanese
Alma materKyoto University
Known forOkamura's uniqueness theorem
Scientific career
FieldsMathematical analysis, Differential equations
InstitutionsKyoto University
Notable studentsSigeru 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
  • Hiroshi Okamura (1941), "Sur l'unicité des solutions d'un système d'équations différentielles ordinaires", Mem. Coll. Sci., Kyoto Imperial Univ., A (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., A (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 (0): 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 (posthumous)
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References
  1. Toshizô Matsumoto (1950), "Hiroshi Okamura", Mem. College Sci. Univ. Kyoto Ser. A Math., 26 (1): 1–3
  2. Funkcialaj Ekvacioj, 2 (1959), Profesoro Hirosi OKAMURA, nekrologo (E-e)
  3. George, John H. (1967), "On Okamura's uniqueness theorem" (PDF), Proceedings of the American Mathematical Society, 18 (4): 764–765


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