| Volodymyr Koshmanenko | |
| Native Name Lang: | Ukrainian: Володимир Дмитрович Кошманенко |
| Birth Date: | 28 July 1943 |
| Nationality: | Ukrainian |
| Fields: | Mathematics |
| Workplaces: | Institute of Mathematics of the NAS of Ukraine |
| Awards: | Yu.O. Mitropol'sky Award by National Academy of Sciences of Ukraine |
Volodymyr Koshmanenko (Ukrainian: Кошманенко Володимир Дмитрович; born July 28, 1943, Dnipro, Ukraine) is a Ukrainian mathematician, professor, researcher of the Institute of Mathematics of the National Academy of Sciences of Ukraine.
Koshmanenko is a notable Ukrainian mathematician and a talented researcher. Koshmanenko has been reading lectures at Taras Shevchenko University, National Pedagogical Dragomanov University and National University of Kyiv-Mohyla Academy. He has over 120 publications and 5 monographs. Volodymyr Koshmanenko promotes creativity in science, incredible performance, healthy lifestyle.
In 1960, he entered the Department of Physics at Dnipropetrovsk State University and graduated from it in 1966. He attended the lectures of the mathematical content mainly from the third year of study. This led him to choice of the mathematical style of thinking.
During his post-graduate courses, 1967–1970, he studied the axiomatic approach in quantum field theory. He showed that anyBoson scalar quantum field admits the representation and the axiomatic formulation in terms of operator Jacobi matrixes. It was the main result of his PhD thesis (1970) (the scientific advisor was Yu. M. Berezansky).
From 1970 up to now he occupied different scientific positions, from junior to leading researcher at the Institute of Mathematics of the NAS of Ukraine in Kyiv. In 1985, he got the Doctor degree in mathematics for the theses "The scattering theory in terms of bilinear functionals" with M.S. Birman, I.Ya. Arefieva, and M.I. Portenko as the main referees.
In 1995, he became the professor of Higher Mathematics Department in Kyiv Pedagogical University.
2012 — Yu.O. Mitropol'sky Award by National Academy of Sciences of Ukraine.
The research interests of PKoshmanenko concern modeling of complex dynamical systems, fractal geometry, functional analysis, operator theory, mathematical physics. He proposed the construction of wave and scattering operators in terms of bilinear functionals, introduced the notion of singular quadratic form and produced the classification of pure singular quadratic forms, developed the self-adjoint extensions approach to the singular perturbation theory in scales of Hilbert spaces, investigated the direct and inverse negative eigenvalues problem under singular perturbations.
Koshmanenko developed the original theory of conflict dynamical systems and built a serious new models of complex dynamical systems with repulsive and attractive interaction. He proved the theorem of conflict in terms of probability measures, showed the possibility in fractal setting to reconstruct the lost physical type spectrum under interaction with a source of purely singular (spirit) continuous spectrum. He introduced a notion of the structural similarity measures and proposed a series models of complex dynamical system with conflict interaction of type conflict triad, fire-water model, society as a mathematical models of conflict system where the invariant fixed points, the limiting cyclic orbits and their attraction basins are investigated.
Fixed points of complex systems with attractive interaction, MFAT,, no. 2, 164 - 176, (2017).