Institute of Mathematics of the National Academy of Sciences of Ukraine (Ukrainian: Інститут математики Національної академії наук України) is a government-owned research institute in Ukraine that carries out basic research and trains highly qualified professionals in the field of mathematics. It was founded on 13 February 1934.[1]

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, 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

1939 — 1941 Mikhail Lavrentyev

1941 — 1944 Yurii Pfeiffer, united institute of mathematics and physics

1944 — 1948 Mikhail Lavrentyev

1948 — 1955 Aleksandr Ishlinskiy

1955 — 1958 Boris Gnedenko

1958 — 1988 Yurii Mitropolskiy

1988 — Anatoly Samoilenko

Scientific departments

Algebra

Analytical mechanics

Applied researches

Approximation theory

Complex analysis and potential theory

Differential equations and oscillation theory

Dynamics and stability of multi-dimensional systems

Fractal Analysis

Functional Analysis

Mathematical physics

Nonlinear analysis

Numerical mathematics

Partial differential equations

Theory of dynamical systems

Theory of functions

Theory of random processes

Topology

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

"History of the Institute" (in Ukrainian). Institute of Mathematics. Retrieved 29 June 2013.

External links

Official website

Official Facebook Page

Page on Math-Net.Ru

Undergraduate Texts in Mathematics

Graduate Studies in Mathematics

Hellenica World - Scientific Library

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