Vyacheslav Vasilyevich Stepanov

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Vyacheslav Vasilyevich Stepanov

Vyacheslav Vasilievich Stepanov ( Russian Вячеслав Васильевич Степанов ; English transcription Vyacheslav Vassilievich Stepanov ; born September 4, 1889 in Smolensk ; † July 22, 1950 in Moscow ) was a Russian mathematician who was primarily concerned with analysis.

Stepanow was the son of teachers and studied from 1908 at the Lomonossow University with Dmitri Yegorow and Nikolai Nikolajewitsch Lusin . He graduated in 1912 and then continued to study at the University of Göttingen with Edmund Landau and David Hilbert . In 1915 he was back in Moscow and became a lecturer at Lomonosov University, where he worked closely with Jegorow until his dismissal as director of the Institute for Mathematics and Mechanics in 1929. Stepanow became a professor at Lomonosov University in 1928 and was there from 1939 to on his death director of the Institute for Mathematics and Mechanics.

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

Alexander Ossipowitsch Gelfond is one of his students .

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

Fonts

  • with Viktor V. Nemytskii: Qualitative Theory of Differential Equations. Princeton University Press 1960, Dover 1989.
  • Textbook of differential equations (= university books for mathematics . Vol. 20). Berlin, German Science Publishers, Berlin 1956.

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