Vladilen Alexandrovich Trenogin

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Vladilen Alexandrowitsch Trenogin ( Russian Владилен Александрович Треногин ; born August 12, 1931 in Kyschtym , Russia ; †  September 28, 2013 ) was a Russian mathematician and university professor .

Life

Parents, childhood, school days

Trenogin's father, Alexander Fedorowitsch Trenogin, was a craftsman, was drafted to the front in 1941 and died near Stalingrad in 1942 . His mother Eugenie Jakowlewna, née Michalewa, was the daughter of a priest. She graduated from Perm State University and worked as a history teacher. Trenogin graduated from school in Uzhhorod with a gold medal in 1950 .

Studies and PhD

Trenogin graduated with honors from the Mechanical and Mathematical Faculty of Lomonosov University in Moscow in 1955 . During his studies he attended lectures by the famous mathematicians Pawel Sergejewitsch Alexandrow , Alexander Gennadjewitsch Kurosch , Viktor Wladimirowitsch Nemyzki , Nina Karlowna Bari , Lasar Aronowitsch Ljusternik , Israel Moiseevich Gelfand , Alexei Ivanovich Markuschewitsch and Eugene Dynayevich , Nikolai Gurevich . Trenogin was one of the excellent students on his course. Among his fellow students were the mathematicians Nikolai Sergejewitsch Bachwalow , Michail Michailowitsch Lavrentjew and Oleg Vladimirovich Bessow , who later became famous .

After graduating, Trenogin went to the Moscow Institute of Physics and Technology . Here he worked in a group with Vasily Sergejewitsch Wladimirow , Sergei Michailowitsch Nikolski , Lew Wassiljewitsch Ovsjannikow , Evgeni Frolowitsch Mishchenko , Nikita Nikolajewitsch Moissejew and Mark Neumark . Many scientists from the Steklov Institute for Mathematics worked at this institute for several years. 1960 doctorate Trenogin at the Lomonosov Moscow State University at Lazar Lyusternik with a thesis on Некоторые вопросы теории функциональных и дифференциальных уравнений в банаховых пространствах (German: Some questions of the theory of functional equations and differential equations in Banach spaces).

Offices

Trenogin was a professor at the Moscow Institute of Physics and Technology. He was a leading mathematician at the National University of Research and Technology MISiS . Trenogin was a member of the Scientific and Methodological Council for Mathematics in the Ministry of Science, a member of the Society for Applied Mathematics and Mechanics and a corresponding member of the National Academy of Applied Sciences of Russia.

Works

Trenogin wrote several books and over 200 publications. His book on functional analysis, which saw several new editions, the last one in 2002, received particular attention. His book Theory of Solution Branching in Nonlinear Equations has been translated into German and English. Among other things, Trenogin wrote books with his memoirs and with memories of his encounters with many famous scientists, including a book about his memories of Andrei Nikolaevich Tikhonov . Trenogin was a co-author of the Encyclopaedia of Mathematics . Trenogin's research focused on functional analysis , nonlinear optimization , nonlinear operators , bifurcation and approximation methods for solving nonlinear problems.

Awards

  • In 2012 Trenogin was awarded the Order of Honor by the President of the Russian Federation for the work successes achieved and long-term fruitful work (Орден Почёта).
  • In 1985 he received the prize of the Ministry of Higher Education of the USSR for the best scientific work on the unification and standardization of steel and alloy qualities; third place.
  • In 1990 he received the prize of the Ministry of Higher Education of the USSR for the best methodological work for the creation of a course in the field of functional analysis for technical universities; first place.

Publications

Monographs

  • Problèmes et exercices d'analysis fonctionnelle (German: Problems and exercises for functional analysis ), Moscow: Ed. Mir, 1987, together with BM Pisarievski and TS Sóboleva; Spanish edition: Problemas y ejercicios de análisis funcional , Moscow: MIR, 1987
  • Функциональный Анализ (German: functional analysis ), 1993, ISBN 978-5020148918 ; French edition: Analysis fonctionnelle , Moscow: Ed. Me, 1985
  • Morduchaj Moiseevič Vajnberg, Vladilen Aleksandrovič Trenogin, Reinhard Kluge (editor), Rolf Hünlich (translator): Theory of solution branching in nonlinear equations , mathematical textbooks and monographs II Volume 32, 1973; English edition: Theory of Branching of Solutions of Nonlinear Equations , 1974, Wolters-Noordhoff BV, ISBN 978-9001882808

items

  • On the theory of abstract elliptical equations containing a singular perturbation , Lecture Notes in Math. 1977. V. 594. pp. 482-490
  • Regularization of computation of branching solutions of nonlinear equations , Lecture Notes in Math. 1977. V. 594. pp. 491–505 (together with NA Sidorov)
  • Potentiality, group symmetry and bifurcation equation in the theory of branching equation, Differential Integral Equations , 1990. V.3. No 1. pp. 145–154 (together with NA Sidorav, BV Loginov)
  • Solution of the multipoint problem and Green's function , Proceedings of the 22nd Annual Iranian Mathematics Conference, Mashhad, Iran, 1991, ed. MRR Moghaddam et al., Mashhad: Ferdowski Univ. of Mashhad, 1991. pp. 149–160 (together with KA Hasseinov)
  • Existence of bifurcation at presence of Jordan chin of an odd length , 1993, (together with NA Sidorav, BV Loginov)
  • Branching equation of Andronov-Hopf bifurcation under group symmetryconditions , Chaos. 1997. V.7. No 2. pp. 229–238 (together with BV Loginov)
  • Group symmetry of bifurcation equation in dynamic branching , Z. Angew. Math. Mech. 1996. V. 76. No 2. pp. 237–240 (together with BV Loginov)
  • Bifurcation and stability in some problems of continua mechanics , Z. Angew. Math. 1996. V. 76. No 2. pp. 241–244 (together with BV Loginov, PA Velmesov)
  • Bifurcation, potentiality, group-theoretical and iterative methods , Z. Angew. Math. Mech. 1996. V. 76. No 2. pp. 245–248 (together with NA Sidorov, BV Loginov)
  • Bifurcation, symmetry and parameter continuation in some problems about capillary-gravity waves , Progress in Industrial Mathematics at ECMI-96, Copenhagen, Denmark, 1996, ed. M. Brons et al. Stuttgart: Teubner, 1997. pp. 432–439 (together with BV Loginov, NI Carpova)
  • Invertibility of nonlinear operators and parameter continuation method. Spectral and Scattering Theory , ed. A. Ramm. New York: Plenum Press, 1998. pp. 189-197
  • Invertibility of nonlinear operators and parameter continuation method , Abstr. ICM-98. Berlin, 1998. p. 160
  • Abstract boundary value problems for operator equations. Operator Theory and its Applications , ed. AG Ramm et al. Providence, RI: Amer. Math. Soc., 2000. pp. 509-521. (Fields Inst. Comm. V. 25.)
  • Bifurcation equations and parameter continuation method. Nonlinear Dynamics, Chaos, Control and Times Series , Brasil, San-Paulo, 2000, ed. JM Balthazar. V. 5. pp. 439-447
  • Computation of one-parametric families of solutions of nonlinear equations , Proceedings of the Second ISAAC Congress. VI Dordrecht: Kluwer, 2000. pp. 727-735
  • Adjoint operators to nonlinear operators , Abstr. Functional Analisys, Valencia-2000

Web links

Individual evidence

  1. ↑ a b Владилен Александрович Треногин К восьмидесятилетию со дня рождения at mathnet.ru. Retrieved March 27, 2020.
  2. ↑ a b c ПАМЯТ И ВЛАДИЛЕН А АЛЕКСАНДРОВИЧ А ТРЕНОГИНА at mathnet.ru. Retrieved March 27, 2020.
  3. ↑ a b c d e f g h Владилен Александрович Треногин at mathnet.ru. Retrieved March 27, 2020.
  4. ↑ Vladilen Aleksandrovich Trenogin at Mathematics Genealogy Project. Retrieved March 27, 2020.
  5. ↑ Trenogin, Vladilen A. at gnd. Retrieved March 27, 2020.
  6. ↑ О награждении государственными наградами Российской Федерации at docs.cntd.ru. Retrieved March 27, 2020.
personal data
SURNAME Trenogin, Vladilen Alexandrovich
ALTERNATIVE NAMES Треногин, Владилен Александрович (Russian)
BRIEF DESCRIPTION Russian mathematician and university professor
DATE OF BIRTH August 12, 1931
PLACE OF BIRTH Kyschtym , Russia
DATE OF DEATH September 28, 2013