Volodymyr Koshmanenko

Volodymyr Koshmanenko
Born (1943-07-28)July 28, 1943
Nationality Ukrainian
Awards Yu.O. Mitropol'sky Award by National Academy of Sciences of Ukraine
Scientific career
Fields Mathematics
Institutions Institute of Mathematics of the NAS of Ukraine

Volodymyr Koshmanenko (Ukrainian: Кошманенко Володимир Дмитрович; born July 28, 1943, Dnipro, Ukraine) — Ukrainian mathematician, Doctor of Science, professor, Leading Researcher of the Institute of Mathematics of the NAS of Ukraine.

Volodymyr Koshmanenko is a notable Ukrainian mathematician and a talented researcher. Prof. 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.

Biography

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 leaded 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 any Boson 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 Prof. 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.

Professional activity

Awards

2012 — Yu.O. Mitropol'sky Award by National Academy of Sciences of Ukraine.

Research area

The research interests of Prof. V. Koshmanenko concern functional analysis, operator theory, mathematical physics. In particular, proposed the construction of wave and scattering operators in terms of bilinear functionals, introduced the notion of singular quadratic form and obtained the classification of such forms in scales of Hilbert spaces, developed the self-adjoint extensions approach to the singular perturbation theory, investigated the direct and inverse negative eigenvalues problem under singular perturbations of self-adjoint operators.

Volodymyr Koshmanenko developed the original theory of conflict dynamical systems and proved the theorem of conflict, showed the possibility to reconstruct the lost physical type spectrum under interaction with a source of purely singular continuous spectrum. He also proposed the dynamical model of complex system with conflict interaction and cyclic migration, introduced the notion of the structural similarity measures. He investigated the model of conflict triad and the fire-water model with limit cyclic orbits.

Main publications

  • Koshmanenko, V. Spectral Theory for Conflict Dynamical Systems (Ukrainian), Naukova Dumka, Kyiv, 2016, 288p.
  • Koshmanenko, V.; Dudkin M. Method of Rigged Spaces in Singular Perturbation Theory of Self-adjoint Operators. Birkhäuser, 2016, 237p.
  • Koshmanenko V., Verygina I. Dynamical systems of conflict in terms of structural measures. Meth. Funct. Anal. and Top. 22, No 1, 81-93, (2016).
  • Koshmanenko, V., Karataieva, T., Kharchenko, N., and Verygina, I. Models of the Conflict Redistribution of Vital Resources, SSC (2016).
  • Koshmanenko, V. Existence theorems of the omega-limit states for conflict dynamical systems, Methods Funct. Anal. and Top. 20, No. 4, 379-390, (2014).
  • Koshmanenko, V. Singular Quadratic Forms in Perturbation Theory, Kluwer, Dordrecht, 1999.
  • Koshmanenko, V.; Samoilenko, I. The conflict triad dynamical system. Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2917–2935 (2011).
  • Albeverio, S.; Konstantinov, A.; Koshmanenko, V. Remarks on the Inverse Spectral Theory for Singularly Perturbed Operators, Operator Theory: Advance and Appl., 190, 115–122 (2009).
  • Albeverio, S.; Koshmanenko, V.; Samoilenko, I. The conflict interaction between two complex systems: Cyclic migration, J. Interdisciplinary Math., 11, No 2, 163–185, (2008).
  • Koshmanenko, V. Construction of singular perturbations by the method of rigged Hilbert spaces, Journal of Physics A: Mathematical and General, 38, 4999–5009 (2005).
  • V. Koshmanenko, Theorem of conflicts for a pair of probability measures, Math. Methods of Operations Research, 59, 303–313, (2004).
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