Zafar Usmanov


Zafar Juraevich Usmanov is an Soviet and Tajik mathematician, doctor of physical and mathematical sciences, professor, full member of the Academy of Sciences of the Republic of Tajikistan, Honored scientist of the Republic of Tajikistan, laureate of the State Prize of Tajikistan in the field of science and technology named after Abu Ali ibn Sino.

Biography

Zafar Juraevich Usmanov was born on August 26, 1937 in Dushanbe. Father — Jura Usmanov, historian, journalist, Mother — Hamro Usmanova, party and state worker. Sibling of the academician of the Academy of Sciences of the Republic of Tajikistan P. D. Usmanov.
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 1 doctor of sciences in water problems.

Teaching

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, / 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, /. The scientific interests of the scientist:
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. 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.

In the field of applied mathematics

A mathematical model has been developed for the evolution of collection material of an arbitrary nature ; a mathematical model for describing the evolution of spiral shells by the example of gastropods ; a mathematical model for determining the gradations of liver failure ; mathematical model of the dynamics of the desert community of the Tigrovaya Balka nature reserve Some of these results were noted in the reports of the Chief Scientific Secretary of the Presidium of the USSR Academy of Sciences among the most important achievements of the USSR Academy of Sciences in the field of theoretical mathematics in the 70s years and twice in the field of computer science in the 80s.

In the field of informatization of the Tajik language

Created a scientific school in computer linguistics in Tajikistan. He prepared 5 candidates of sciences in mathematical and statistical linguistics. As a leader and direct executor of works, together with his students, he carried out extensive research on the automation of information processing in the Tajik language.
He has published over 280 scientific papers on theoretical and applied mathematics in scientific journals of the countries of near and far abroad and has registered 16 intellectual products in the National Patent Information Center of the Ministry of Economic Development and Trade of the Republic of Tatarstan

Major monographs

Usmanov Z.J. is:
Wilmington, USA Central Asian Mathematical Journal, Washington, USA.,
as well as at international conferences: