Mark Krasnosel'skii

Mark Aleksandrovich Krasnosel'skii, (Russian Марк Александрович Красносельский, English transcription Mark Krasnosel'skii, * April 27, 1920 in Starokostjantyniw, † 13 February 1997 in Moscow) was a Soviet mathematician.

Krasnosel'skii studied at the University of Kiev (then evacuated to Kazakhstan ) with the conclusion of 1942. He received his doctorate after four years of military service in World War II in 1948 at the Institute of Mathematics of the Ukrainian Academy of Sciences in Kiev at Mark Krein, on which he subsequently did research. In 1950 he completed his habilitation (Russian doctorate ). He was from 1952 to 1967 professor at the State University of Voronezh and then at the Institute of Control Theory of the Soviet Academy of Sciences. There he directed from 1974 to 1990 a laboratory. After that, he worked at the Institute for Information Transmission Problems, Russian Academy of Sciences.

He is regarded with some work in the 1960s as one of the founders of modern nonlinear functional analysis including the development of topological methods and numerous applications.

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

Writings

  • 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 the solution of operator equations, Akademie Verlag 1973
  • Other: Integral operators in spaces of summable functions, Leiden, Noordhoff 1976
  • Other: Integral Equations, Noordhoff 1975
  • Other: Functional Analysis, Noordhoff 1972
  • With PP Zabreiko: Geometrical methods of nonlinear analysis, Springer Verlag 1984
  • With AV Pokrovskii: Systems with Hysteresis, Springer Verlag 1989
  • Vector fields in the plane, Akademie Verlag 1966
  • Je. A. Lifshits, AV Sobolev: Positive Linear Systems: The method of positive operators, Berlin, Heldermann Verlag 1990
  • Other: Stability analysis of asynchronous systems (Russian), Nauka, 1992
Starokostiantyniv Humboldt Prize Mathematics Genealogy Project Integrated Authority File
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