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| Established | February 13, 1934 (1934-02-13) |
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| Director | Alexander Timokha |
| Staff | 112 |
| Address | 3, Tereschenkivska st.Kyiv-4, 01004Ukraine |
| Location | , |
| Coordinates | 50°26′39.84″N30°30′58.63″E / 50.4444000°N 30.5162861°E /50.4444000; 30.5162861 |
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| Website | www.imath.kiev.ua |
TheInstitute of Mathematics of theNational Academy of Sciences of Ukraine (Ukrainian:Інститут математики Національної академії наук України,romanized: Instytut matematyky Natsionalnoi akademii nauk Ukrainy) is a government-ownedresearch institute inUkraine that carries out basic research and trains highly qualified professionals in the field of mathematics. It was founded on 13 February 1934.[1] The Institute is located in Tereschenkivska street 3 inKyiv. The same building also housed the academic publisherNaukova Dumka until December 2024, when its activities were moved to publishing houseAkademperiodyka across the street.
The perturbation theory of toroidal invariant manifolds of dynamical systems was developed here by academicianM. M. Bogolyubov,Yu. O. Mitropolsky, academician of theNAS of Ukraine and theRussian Academy of Sciences, andA. 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 academicianYu. 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 academicianA. 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 forsemi-Markov processes were proved byV. S. Korolyuk, academician of the NAS of Ukraine. He has also constructed the Poisson approximation for stochastic homogeneous additive functional with semi-Markov switching.
The Institute publishes several scientific journals:
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