National Academy of Sciences of Belarus

GAYSHUN Ivan Vasilievich

Ivan Vasilievich Gayshun (b. 29.09.1946, v. Petrovichi, Bobruisk district), mathematician. Academician of the National Academy of Sciences of Belarus (1991; corresponding member since 1989), Doctor of Physico-Mathematical Sciences (1985), Professor (1992).

Scientific works in the field of differential equations, topological dynamics, control processes and methods of mathematical modeling. He proposed a unified approach to the problems of stability of general dynamical systems, developed methods for studying nonlinear differential, functional differential and discrete equations. He constructed a theory of full derivative equations, located at the junction of topological dynamics, ordinary differential equations and functional analysis. Developed functional analytical methods for the study of distributed control systems, which allowed to study the fundamental properties of multiparameter differential-difference and discrete systems, widely used in image processing theory. Investigated the existence of canonical forms of linear nonstationary control and observation systems; on this basis, he proposed methods for stabilization, synthesis of reducible equations, estimation of motion elements, etc. He developed methods for studying dynamic control-observation systems defined over commutative rings. Performed a number of applied works on mathematical modeling of control processes in multifunctional technical systems.

Author of more than 250 scientific papers, incl. 5 monographs and textbooks.

State Prize of the Republic of Belarus in 2000 for the study of the asymptotic properties of differential and discrete systems. Francisk Skaryna Medal (2017).

Major papers:

  1. Вполне разрешимые многомерные дифференциальные уравнения. Мн.: Наука и техника, 1983.
  2. Линейные уравнения в полных производных. Мн.: Наука и техника, 1989.
  3. Многопараметрические системы управления. Мн.: Наука и техника, 1996.
  4. Введение в теорию линейных нестационарных систем. Мн.: Ин-т математики НАН Беларуси, 1999.
  5. Системы с дискретным временем. Мн.: Ин-т математики НАН Беларуси, 2001.