Mark Alexandrovich Krasnoselsky

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Mark Krasnosel'skii , ( Russian Марк Александрович Красносельский , Ukrainian Марк Олександрович Красносельський Mark Oleksandrowytsch Krasnosselskyj , English transcription Mark Krasnosel'skii * 27. April 1920 in Starokostiantyniv , Ukrainian SSR , † 13 February 1997 in Moscow , Russia ) was a Soviet mathematician .

Krasnoselski studied at the University of Kiev (after the German invasion evacuated to Kazakhstan ) with the degree in 1942. After four years of military service in the Second World War, he received his doctorate in 1948 at the Institute of Mathematics of the Ukrainian Academy of Sciences in Kiev under Mark Krein , and then researched there . In 1950 he completed his habilitation ( Russian doctorate ). From 1952 to 1967 he was a professor at the Voronezh State University and then at the Institute for Control Theory of the Soviet Academy of Sciences . He headed a laboratory there from 1974 to 1990. After that he was at the Institute for Information Transmission Problems of the Russian Academy of Sciences .

With some work in the 1960s, he is considered to be one of the founders of modern nonlinear functional analysis including the development of topological methods and numerous applications. The Krasnoselski Theorem named after him and the Krasnoselski Fixed Point Theorem come from him .

He was an honorary doctorate in Rouen (1996), received the Humboldt Research Prize and the Andronov Prize of the Soviet Academy of Sciences.

Fonts

  • with YB Rutitsky: Convex functions in Orlicz spaces, Delhi, Hindustan Publ. 1962
  • Positive solutions of operator equations, Groningen: Noordhoff 1964
  • Topological methods in the theory of nonlinear integral equations, Oxford, Pergamon Press 1964
  • Approximate solution of operator equations, Groningen: Wolters-Noordhoff 1972
  • Approximation method for solving operator equations, Akademie Verlag 1973
  • with others: Integral operators in spaces of summable functions, Leiden, Noordhoff 1976
  • with others: Integral Equations, Noordhoff 1975
  • with others: Functional Analysis, Noordhoff 1972
  • with PP Zabreiko: Geometrical methods of nonlinear analysis, Springer Verlag 1984
  • with AV Pokrovskii: Systems with Hysteresis, Springer Verlag 1989
  • Plane Vector Fields, Academic Press 1966
  • Vector fields in the plane, Akademie Verlag 1966
  • with VS Burd, Ju. S. Kolesov: Nonlinear Almost Periodic Oscillations, Wily 1973
  • each. A. Lifshits, AV Sobolev: Positive Linear Systems: The method of positive operators, Berlin, Heldermann Verlag 1990
  • with others: Stability Analysis of Asynchronous Systems (Russian), Nauka 1992

Web links

Individual evidence

  1. ↑ Mark Alexandrowitsch Krasnoselski in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Krasnoselski, Mark Alexandrovich
ALTERNATIVE NAMES Красносельский, Марк Александрович (Russian); Красносельський, Марк Олександрович (Ukrainian)
BRIEF DESCRIPTION Soviet mathematician
DATE OF BIRTH April 27, 1920
PLACE OF BIRTH Starokostjantyniw , Ukrainian SSR
DATE OF DEATH February 13, 1997
Place of death Moscow , Russia