The Institute of Mathematics of the
National Academy of Sciences of Ukraine
The National Academy of Sciences of Ukraine (NASU; , ; ''NAN Ukrainy'') is a self-governing state-funded organization in Ukraine that is the main center of development of Science and technology in Ukraine, science and technology by coordinatin ...
() is a government-owned
research institute
A research institute, research centre, or research organization is an establishment founded for doing research. Research institutes may specialize in basic research or may be oriented to applied research. Although the term often implies natural ...
in
Ukraine
Ukraine is a country in Eastern Europe. It is the List of European countries by area, second-largest country in Europe after Russia, which Russia–Ukraine border, borders it to the east and northeast. Ukraine also borders Belarus to the nor ...
that carries out basic research and trains highly qualified professionals in the field of mathematics. It was founded on 13 February 1934.
The Institute is located in Tereschenkivska street 3 in
Kyiv
Kyiv, also Kiev, is the capital and most populous List of cities in Ukraine, city of Ukraine. Located in the north-central part of the country, it straddles both sides of the Dnieper, Dnieper River. As of 1 January 2022, its population was 2, ...
. The same building also housed the academic publisher
Naukova Dumka
Naukova Dumka ( — literally "scientific thought") is a publishing house in Kyiv, Ukraine.
It was established by the National Academy of Sciences of Ukraine in 1922, largely owing to the efforts of Ahatanhel Krymsky, a prominent Ukrainian ling ...
until December 2024, when its activities were moved to publishing house
Akademperiodyka across the street.
Notable research results
The perturbation theory of toroidal invariant manifolds of dynamical systems was developed here by academician
M. M. Bogolyubov,
Yu. O. Mitropolsky, academician of the
NAS of Ukraine and the
Russian Academy of Sciences
The Russian Academy of Sciences (RAS; ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such ...
, and
A. M. Samoilenko, academician of the NAS of Ukraine. The theory's methods are used to investigate oscillation processes in broad classes of applied problems, in particular, the phenomena of passing through resonance and various bifurcations and synchronizations.
Sharkovsky's order theorem was devised by its author while he worked for the institute. It became the basis for the theory of one-dimensional dynamical systems that enabled the study of chaotic evolutions in deterministic systems, and, in particular, of ‘ideal turbulence’.
The school of the NAS academician
Yu. M. Berezansky constructed the theory of generalized functions of infinitely many variables on the basis of spectral approach and operators of generalized translation.
The school of the NAS academician
A. V. Skorokhod investigated a broad range of problems related to random processes and stochastic differential equations.
Heuristic methods of phase lumping of complex systems were validated, important results in queuing theory and reliability theory were obtained, and a series of limit theorems for
semi-Markov processes were proved by
V. S. Korolyuk, academician of the NAS of Ukraine. He has also constructed the Poisson approximation for stochastic homogeneous additive functional with semi-Markov switching.
Directors
* 1934 — 1939
Dmitry Grave
Dmytro Oleksandrovych Grave (, ; 6 September 1863 – 19 December 1939) was a Ukrainian, Russian and Soviet mathematician.
Naum Akhiezer, Nikolai Chebotaryov, Mikhailo Kravchuk, and Boris Delaunay were among his students.
Brief history
Dmit ...
* 1939 — 1941
Mikhail Lavrentyev
Mikhail Alekseyevich Lavrentyev (or Lavrentiev, ; November 19, 1900 – October 15, 1980) was a Soviet mathematician and hydrodynamicist.
Early years
Lavrentyev was born in Kazan, where his father was an instructor at a college (he later became ...
* 1941 — 1944
Yurii Pfeiffer, united institute of mathematics and physics
* 1944 — 1948
Mikhail Lavrentyev
Mikhail Alekseyevich Lavrentyev (or Lavrentiev, ; November 19, 1900 – October 15, 1980) was a Soviet mathematician and hydrodynamicist.
Early years
Lavrentyev was born in Kazan, where his father was an instructor at a college (he later became ...
* 1948 — 1955
Aleksandr Ishlinskiy
* 1955 — 1958
Boris Gnedenko
Boris Vladimirovich Gnedenko (; January 1, 1912 – December 27, 1995) was a Soviet mathematician and a student of Andrey Kolmogorov. He was born in Simbirsk (now Ulyanovsk), Russia, and died in Moscow. He is perhaps best known for his work with K ...
* 1958 — 1988
Yurii Mitropolskiy
Yurii Oleksiiovych Mitropolskyi (; 3 January 1917 – 14 June 2008) was a renowned Soviet Union, Soviet and Ukraine, Ukrainian mathematician known for his contributions to the fields of dynamical systems and Nonlinear system, nonlinear oscillati ...
* 1988 — 2020
Anatoly Samoilenko
Anatoly Mykhailovych Samoilenko () (2 January 1938 – 4 December 2020) was a Ukrainian mathematician, an Academician of the National Academy of Sciences of Ukraine (since 1995), the Director of the Institute of Mathematics of the National Acad ...
* 2021 — Alexander Timokha
Scientific departments
* Algebra
* Analytical mechanics
* Applied researches
*
Approximation theory
In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characteri ...
*
Complex analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates functions of complex numbers. It is helpful in many branches of mathematics, including algebraic ...
and
potential theory
In mathematics and mathematical physics, potential theory is the study of harmonic functions.
The term "potential theory" was coined in 19th-century physics when it was realized that the two fundamental forces of nature known at the time, namely g ...
* Differential equations and
oscillation theory
In mathematics, in the field of ordinary differential equations, a nontrivial solution to an ordinary differential equation
:F(x,y,y',\ \dots,\ y^)=y^ \quad x \in spectrum of associated boundary value problems.
Examples
The differential equatio ...
* Dynamics and stability of multi-dimensional systems
* Fractal Analysis
* Functional Analysis
* Mathematical physics
* Nonlinear analysis
*
Numerical mathematics
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods th ...
* Partial differential equations
* Theory of dynamical systems
* Theory of functions
* Theory of random processes
*
Topology
Topology (from the Greek language, Greek words , and ) is the branch of mathematics concerned with the properties of a Mathematical object, geometric object that are preserved under Continuous function, continuous Deformation theory, deformat ...
Publications
The Institute publishes several scientific journals:
*
''Methods of Functional Analysis and Topology''
*
''Nonlinear Oscillations''
*
''Symmetry, integrability and Geometry: Methods and Applications (SIGMA)''
* ''
Ukrainian Mathematical Journal''
References
External links
*
Official Facebook PagePage on Math-Net.Ru
{{authority control
Institutes of the National Academy of Sciences of Ukraine
Research institutes in the Soviet Union
Science and technology in Ukraine
Scientific organizations based in Ukraine
Research institutes in Kyiv
Mathematical institutes
Research institutes established in 1934
1934 establishments in the Soviet Union