Vyacheslav Stepanov

Vyacheslav Vasilyevich Stepanov (Russian Вячеслав Васильевич Степанов, English transcription Vyacheslav Stepanov Vassilievich; born September 4, 1889 in Smolensk, † July 22, 1950 in Moscow) was a Russian mathematician who mainly dealt with Analysis.

Stepanov was the son of teachers and studied from 1908 at the Moscow State University with Dmitri Egorov and Nikolai Nikolaevich Luzin. In 1912 he graduated and then studied further at the University of Göttingen with Edmund Landau and David Hilbert. In 1915 he was back in Moscow and became a lecturer at the Moscow State University, where he closely with Yegorov worked until his dismissal as director of the Institute of Mathematics and Mechanics, 1929. Stepanov in 1928 professor at the Moscow State University and was there from 1939 to his death Director of the Institute of Mathematics and Mechanics.

In two publications in 1923 and 1925, he gave to the necessary and sufficient conditions for the a function in two variables defined on a set M of measure greater than zero almost everywhere on M has a total differential. He also dealt with dynamical systems (following George Birkhoff ), the qualitative theory of ordinary differential equations ( of which he is a well-known textbook with his student Viktor Nemitski wrote ) and almost periodic functions (following Harald Bohr). He played a significant role in the Moscow Mathematical Society and is the founder of a Russian school in the qualitative theory of differential equations and dynamical systems theory.

Among his pupils Alexander Gelfond Ossipowitsch counts.

In 1946 he became a member of the Soviet Academy of Sciences.

Writings

• Viktor V. Nemytskii: Qualitative Theory of Differential Equations, Princeton University Press 1960, Dover 1989
• Textbook of Differential Equations, Berlin, German Academic Publishers, 6th Edition 1956