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
Died	3 September 1948(1948-09-03) (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

• 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)