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- Aleksei_Fedorovich_Filippov abstract "Aleksei Fedorovich Filippov (Russian: Алексей Фёдорович Филиппов; 29 September 1923 – 10 October 2006) was a Russian mathematician, who worked on differential equations, differential inclusions, diffraction theory, and numerical methods.A. F. Filippov was born in Moscow in 1923. After serving in the Red Army during the Second World War he attended Moscow State University (Faculty of Mechanics and Mathematics). After graduating from the university in 1950, he worked there until his death in 2006 (a professor since 1978). He got his Ph.D. under the supervision of I. G. Petrovsky.Filippov showed interest in continuous loops in 1950 when he constructed a proof that they divide a plane into interior and exterior parts. Known as the Jordan curve theorem, it exemplifies a mathematical proposition easily stated but difficult to prove.In 1955 Filippov and V. S. Ryaben'kii became interested in difference equations and wrote On the Stability of Difference Equations. The work was developed into a textbook in 1961 which was used in Moscow State University and many other Russian universities for several decades. In 1959 he published a paper containing a lemma about implicit functions designed for use in optimal control theory which is named after him (Filippov's lemma).Filippov made an important contribution in the theory of discontinuous ordinary differential equations with his monograph Differential Equations with Discontinuous Righthand Sides (1985). Such set-valued dynamical systems arise in sliding mode control, an important class of feedback control systems demonstrating robust control. Such systems model some mechanical systems with Coulomb friction, and more recently genetic networks. A. F. Filippov was awarded the Moscow State University's Lomonosov Award in 1993.".
- Aleksei_Fedorovich_Filippov almaMater Moscow_State_University.
- Aleksei_Fedorovich_Filippov birthDate "1923-09-29".
- Aleksei_Fedorovich_Filippov birthPlace Moscow.
- Aleksei_Fedorovich_Filippov birthPlace Soviet_Union.
- Aleksei_Fedorovich_Filippov birthYear "1923".
- Aleksei_Fedorovich_Filippov deathDate "2006-10-10".
- Aleksei_Fedorovich_Filippov deathPlace Moscow.
- Aleksei_Fedorovich_Filippov deathPlace Russia.
- Aleksei_Fedorovich_Filippov deathYear "2006".
- Aleksei_Fedorovich_Filippov doctoralAdvisor Ivan_Petrovsky.
- Aleksei_Fedorovich_Filippov field Mathematics.
- Aleksei_Fedorovich_Filippov nationality Russia.
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- Aleksei_Fedorovich_Filippov almaMater Moscow_State_University.
- Aleksei_Fedorovich_Filippov birthPlace Moscow.
- Aleksei_Fedorovich_Filippov birthPlace Soviet_Union.
- Aleksei_Fedorovich_Filippov dateOfBirth "1923-09-29".
- Aleksei_Fedorovich_Filippov dateOfDeath "2006-10-10".
- Aleksei_Fedorovich_Filippov deathDate "2006-10-10".
- Aleksei_Fedorovich_Filippov deathPlace Moscow.
- Aleksei_Fedorovich_Filippov deathPlace Russia.
- Aleksei_Fedorovich_Filippov doctoralAdvisor Ivan_Petrovsky.
- Aleksei_Fedorovich_Filippov fields Mathematics.
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- Aleksei_Fedorovich_Filippov knownFor "Curve theorem proof".
- Aleksei_Fedorovich_Filippov knownFor "Filippov's lemma".
- Aleksei_Fedorovich_Filippov name "Aleksei F. Filippov".
- Aleksei_Fedorovich_Filippov name "Filippov, Aleksei Fedorovich".
- Aleksei_Fedorovich_Filippov nationality Russia.
- Aleksei_Fedorovich_Filippov placeOfBirth Moscow.
- Aleksei_Fedorovich_Filippov placeOfBirth Soviet_Union.
- Aleksei_Fedorovich_Filippov placeOfDeath Moscow.
- Aleksei_Fedorovich_Filippov placeOfDeath Russia.
- Aleksei_Fedorovich_Filippov shortDescription "Russian mathematician".
- Aleksei_Fedorovich_Filippov workplaces Moscow_State_University.
- Aleksei_Fedorovich_Filippov description "Russian mathematician".
- Aleksei_Fedorovich_Filippov description "Russian mathematician".
- Aleksei_Fedorovich_Filippov subject Category:1923_births.
- Aleksei_Fedorovich_Filippov subject Category:2006_deaths.
- Aleksei_Fedorovich_Filippov subject Category:20th-century_mathematicians.
- Aleksei_Fedorovich_Filippov subject Category:Moscow_State_University_alumni.
- Aleksei_Fedorovich_Filippov subject Category:Russian_mathematicians.
- Aleksei_Fedorovich_Filippov subject Category:Soviet_mathematicians.
- Aleksei_Fedorovich_Filippov subject Category:Soviet_military_personnel_of_World_War_II.
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- Aleksei_Fedorovich_Filippov comment "Aleksei Fedorovich Filippov (Russian: Алексей Фёдорович Филиппов; 29 September 1923 – 10 October 2006) was a Russian mathematician, who worked on differential equations, differential inclusions, diffraction theory, and numerical methods.A. F. Filippov was born in Moscow in 1923. After serving in the Red Army during the Second World War he attended Moscow State University (Faculty of Mechanics and Mathematics).".
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- Aleksei_Fedorovich_Filippov label "Филиппов, Алексей Фёдорович (учёный)".
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- Aleksei_Fedorovich_Filippov givenName "Aleksei Fedorovich".
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- Aleksei_Fedorovich_Filippov name "Aleksei F. Filippov".
- Aleksei_Fedorovich_Filippov name "Aleksei Fedorovich Filippov".
- Aleksei_Fedorovich_Filippov name "Filippov, Aleksei Fedorovich".
- Aleksei_Fedorovich_Filippov surname "Filippov".