Zafar Juraevich Usmanov (Tajik: Усмонов Зафар Ҷӯраевич; 26 August 1937 – 13 October 2021) was a Soviet and Tajik mathematician, doctor of physical and mathematical sciences (1974), professor (1983), full member of the Academy of Sciences of the Republic of Tajikistan (1981), Honored scientist of the Republic of Tajikistan (1997), laureate of the State Prize of Tajikistan in the field of science and technology named after Abu Ali ibn Sino (2013).
Biography Zafar Juraevich Usmanov was born on 26 August 1937 in Dushanbe. Father — Jura Usmanov, historian, journalist, Mother — Hamro (Asrorova) Usmanova, party and state worker. Sibling of the academician of the Academy of Sciences of the Republic of Tajikistan, Pulat Usmanov.
1954–1959 — studies at the Faculty of Mechanics and Mathematics of MSU. 1959–1962 — graduate student of the Department of Mechanics of Moscow State University, 1962–1970 — researcher of the mathematical team of the Academy of Sciences of the Republic of Tatarstan, 1970–1973 — head of the Computing Center, (deputy head) of the Department of Mathematics with the Computing Center of the Academy of Sciences of the Republic of Tajikistan, 1973–1976 — Deputy Director for Science of the Mathematical Institute with the Computing Center of the Academy of Sciences of the Republic of Tajikistan, 1976–1984 — Head of the Computing Center of the Academy of Sciences of the Republic of Tajikistan, 1984–1988 — academician-secretary of the Department of Physical, Mathematical, Chemical and Geological Sciences of the Academy of Sciences of the Republic of Tajikistan, 1988–1999 — Director of the Institute of Mathematics of the Academy of Sciences of the Republic of Tajikistan, From 1999 to the present — Head. Department of Mathematical Modeling, Institute of Mathematics, Academy of Sciences of the Republic of Tajikistan, 1976 — Corresponding Member of the Academy of Sciences of the Republic of Tajikistan, 1981 — Full member of the Academy of Sciences of the Republic of Tajikistan with a degree in mathematics, 1985–1990 — Deputy of the Supreme Council of the Tajik SSR, 1986–1991 — member of the Revision Commission of the Central Committee of the Communist Party of Tajikistan, 1997–2011 — Professor of the Moscow Power Engineering Institute (Technical University), Volzhsky branch of Volzhsky, 1999 — Professor, Department of Informatics, Technological University of Tajikistan, Head of the Department of «Natural Process Metrics» of the Virtual Institute of Interdisciplinary Time Studies, Moscow State University. 2018 — Chairman of the dissertation council 6D.KOA-032 at the Tajik Technical University named after academician M.S. Osimi
Scientific training The scientific organizer of systemic training at the Institute of Mathematics is about 30 candidates of physical and mathematical sciences on modern problems of computer science. He prepared 18 candidates of sciences in the specialties of differential equations, geometry, computer science, hydromechanics, hydraulics and the history of mathematics, and one doctor of sciences in water problems.
Teaching 1959–1961 — Faculty of Mechanics and Mathematics, Moscow State University M.V. Lomonosova, Moscow, 1965–1994, 2007–2009 — Faculty of Mechanics, Mathematics and Physics, Tajik National University, Dushanbe, 1966–1968 — Faculty of Mathematics, Tajik State Pedagogical University, Dushanbe, 1997–2011 — Department of Power Engineering, Moscow Power Engineering Institute (Technical University), Volzhsky Branch, Volzhsky, 1999 — IV Department of Mathematics, Graz University of Technology, (spring semester), Austria, Faculty of Information Technologies, Technological University of Tajikistan, Dushanbe.
Scientific activity Usmanov successfully defended his Ph.D. thesis: «Some boundary value problems for systems of differential equations with singular coefficients and their applications to bendings of surfaces with a singular point» / Tajik State National University, (1966) / and doctoral dissertation: "Study of the equations of the theory of infinitesimal bendings of surfaces with positive curvature with a flattening point ", Faculty of Mechanics and Mathematics, / Moscow State University M.V. Lomonosova, (1973) /. The scientific interests of the scientist:
Generalized Cauchy-Riemann systems with singularities at isolated points and on a closed line; Deformation of surfaces with an isolated flattening point, a conical point, and a parabolic boundary; Modeling the proper time of an arbitrary process; Modeling of environmental, economic, industrial and technological processes; Automation of information processing in Tajik.
In the field of theoretical mathematics The theory of generalized Cauchy-Riemann systems with a singular point of the 1st and above 1st order in the coefficients, as well as with the 1st order singularity in the coefficients on the boundary circle, which was a natural generalization of the classical analytical apparatus of I. N. Vekua, developed to study generalized analytic functions. Based on the fundamental achievements in the development of the theory of generalized Cauchy-Riemann systems with singularities, in-depth studies have been carried out on the effect of an isolated flattening point on infinitesimal and exact bends of surfaces of positive curvature. Some progress has been made in solving the generalized Christoffel problem of determining convex surfaces from a predetermined sum of conditional radii of curvature defined on a convex surface with an isolated flattening point (together with A. Khakimov). For a wide class of natural processes described by ordinary differential equations and partial differential equations, natural metrics such as spatio-temporal Minkowski metrics are constructed, based on which a definition of the concept of the intrinsic time of a process and constructive methods for measuring it are proposed. Computational experiments have established the promise of using the new concept to increase the effectiveness of the prognostic properties of mathematical models.
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