Evgeny
Evgenii Konstantinovich Makarov was born in Belarus on August 6, 1963. He developed his professional career within the Belarusian mathematical research community and has been associated with the Institute of Mathematics of the National Academy of Sciences of Belarus in Minsk.
Makarov graduated from the Faculty of Mathematics and Mechanics of the Belarusian State University in 1985, specializing in differential equations. He completed postgraduate research in the same field and defended his Candidate of Physico-Mathematical Sciences dissertation in 1989. In 2001 he defended his Doctor of Physico-Mathematical Sciences dissertation in differential equations, dynamical systems, and optimal control.
Makarov began his research career at the Institute of Mathematics of the National Academy of Sciences of Belarus as a junior researcher in 1988. He subsequently served as a researcher from 1991 to 1993, a senior researcher from 1993 to 2001, and a leading researcher from 2001 to 2011. He later continued his work at the Institute as a professor. His research has focused on linear ordinary differential systems, Lyapunov characteristic exponents and related asymptotic invariants, total differential equations, control problems for nonstationary systems, and vector optimization. His work includes studies of the structure and regularity of Lyapunov irregularity and characteristic sets, complete integrability of linear approximations, controllability and assignability of asymptotic invariants, and efficiency concepts in vector optimization. He has published more than seventy scientific works and has collaborated with researchers including Svetlana Popova, Nikolai Rachkovski, Irina Marchenko, and Alexander Demenchuk.
Makarov contributed to the theory of Lyapunov exponents and vector optimization. His research investigated properties of Lyapunov irregularity sets for parameter-dependent linear ordinary differential systems and established sufficient conditions for the discretizability of asymptotic invariants of linear differential systems.
He established interrelations between characteristic exponents and characteristic functionals of linear total differential equations and used them to study the structure of characteristic sets, including sufficient conditions for their closedness and boundedness.
He proved sufficient conditions for complete integrability of the linear approximation to a nonlinear completely integrable total differential equation, including conditions applicable to equations with continuously differentiable right-hand sides.
In collaboration with Svetlana Popova, he studied control problems for Lyapunov exponents and other asymptotic invariants of uniformly completely controllable linear systems, obtaining sufficient conditions for local and global controllability of these invariants.
In collaboration with Nikolai Rachkovski, he contributed to vector optimization theory by proving arcwise connectedness of efficient point sets of convex compacta in Hausdorff topological vector spaces, developing comparison theorems for forms of proper efficiency, and establishing density results for generalized Henig proper efficiency under weak assumptions.
Axiomatic representation for smallness classes of coefficient perturbations to linear differential systems
(Published in the Bulletin of Udmurt University, Mathemati...)
2014On radial solutions of completely integrable total differential equations
(Published in Differential Equations, volume 42, issue 10,...)
2006The complete integrability of the linear approximation equations for completely integrable quasilinear total differential equations
(Published in Differential Equations, volume 36, issue 12,...)
2000On the critical parameter value for the higher sigma-exponent of linear differential systems
(Published in Differential Equations, volume 42, issue 6, ...)
2006On the properties of Bogdanov perturbations of linear differential systems
(Published in Differential Equations, volume 42, issue 2, ...)
2006The characteristic sets of multidimensional equations with respect to a polyhedral cone can be nonclosed
(Published in Differential Equations, volume 39, issue 4, ...)
2003Efficient sets of convex compacta are arcwise connected
(Co-authored with N. N. Rachkovski; published in Journal o...)
2001(Co-authored with S. N. Popova; published in Proceedings o...)
2019On the conditions of proportional local assignability of the Lyapunov spectrum of a linear discrete-time system
(Co-authored with I. N. Banshchikova and S. N. Popova; pub...)
2019On upward mobility of the highest exponent of a linear differential system under perturbations of the coefficients from the simplest classes with degeneracies
(Co-authored with I. V. Marchenko; published in Proceeding...)
2017On the definition of uniform complete controllability
(Co-authored with S. N. Popova; published in the Bulletin ...)
2017On stationary solutions for Lindblad-type equations
(Co-authored with S. Ya. Kilin; published in Proceedings o...)
2014Asymptotics of the solution of the main problem of the integral fire theory
(Co-authored with A. K. Demenchuk; published in Differenti...)
2010Forced oscillations of relativistic oscillator with periodic external excitation
(Co-authored with A. A. Afanas'ev and A. N. Rubinov; publi...)
2009A solution for the problem on oscillations of quasi-relativistic oscillator with periodic external excitation
(Co-authored with A. A. Afanas'ev and A. N. Rubinov; publi...)
2008Problems of control over Lyapunov invariants
(Co-authored with V. A. Zaitsev, S. N. Popova, and E. L. T...)
2006On an algorithm for constructing an attainable upper boundary for the higher exponent of perturbed systems
(Co-authored with I. V. Marchenko; published in Differenti...)
2005On an upper bound for the higher exponent of a linear differential system with integrable perturbations on the half-line
(Co-authored with I. V. Marchenko and N. V. Semerikova; pu...)
2005Sufficient conditions for the local proportional controllability of Lyapunov exponents of linear systems
(Co-authored with S. N. Popova; published in Differential ...)
2003In 2021 Makarov was listed as a member of the National Committee of Mathematicians of Belarus, representing the Institute of Mathematics of the National Academy of Sciences of Belarus.
Makarov's documented family relations include his mother, Olga Kondratievna, and his father, Konstantin Anatolievich. His professional connections include sustained research collaborations with Svetlana Popova, Nikolai Rachkovski, Irina Marchenko, and other specialists in differential equations, control theory, and optimization.
