Koshmanenko Volodymyr Dmytro
Publications
V. Koshmanenko. The Conflict Problem and Opinion Formation Models. Springer Nature Switzerland AG 2025
A. Timokha (ed.), Analytical and Approximate Methods for Complex Dynamical Systems, Understanding Complex Systems,
47-61, (2025).
ISBN 978-3-031-77377-8 ISBN 978-3-031-77378-5 (eBook)
https://doi.org/10.1007/978-3-031-77378-5
https://link.springer.com/chapter/10.1007/978-3-031-77378-5$_3$
Tetiana Karataieva and Volodymyr Koshmanenko,
CHARACTERISTICS OF EQUILIBRIUM STATES IN THE MODELS OF STRUGGLE
BETWEEN ALTERNATIVE OPPONENTS IN THE PRESENCE
OF EXTERNAL ASSISTANCE ONLY TO INDIVIDUAL PLAYERS, Ukrainian Mathematical Journal, Vol. 77, No. 3, (2025)
V. Koshmanenko1, and O. Satur,
POINT SPECTRUM IN THE EQUILIBRIUM STATES OF DYNAMIC CONFLICT SYSTEMS
AND ITS ROLE IN THE MODELS OF BELIEFS FORMATION, Ukrainian Mathematical Journal, Vol. 77, No. 4, (2025). Ukrainian DOI: 10.3842/umzh.v77i4.8306.
Tetyana Karataieva, Volodymyr Koshmanenko.
Existence of Compromise States in the Competition of Alternative Opponents in the Presence of External Support
Journal of Mathematical Sciences, 282(6), 1-24, (2024)
DOI: 10.1007/s10958-024-07228-4
T. V. Karataieva1 and V. D. Koshmanenko. Equilibrium states of the dynamic conflict system for three players with a parameter of influence of the ambient environment.
Journal of Mathematical Sciences. -- 2023, Vol. 274, No. 6, 861 - 880.
DOI 10.1007/s10958-023-06649-x
T.V. Karataieva, V.D. Koshmanenko A model of conflict society with external influence, Journal of Mathematical Sciences, Vol. 272, No. 2, 2023, 244-266.
DOI 10.1007/s10958-023-06414-0
V. Koshmanenko1, and O. Satur,
POINT SPECTRUM IN THE EQUILIBRIUM STATES OF DYNAMIC CONFLICT SYSTEMS
AND ITS ROLE IN THE MODELS OF BELIEFS FORMATION, Ukrainian Mathematical Journal, Vol. 77, No. 4, (2025). Ukrainian DOI: 10.3842/umzh.v77i4.8306.
Koshmanenko V. The theory of dynamical systems of conflict in the framework
of functional analysis // Çá³ðíèê ïðàöü ²í-òó ìàòåìàòèêè ÍÀÍ Óêðà¿íè, ò. 20, ¹ 1, 843-872, (2023). DOI: https://doi.org/10.3842/trim.v20n1.530
V. D. Koshmanenko, O. R. Satur. Sure event problem in multicomponent dynamical
systems with attractive interaction. Journal of Mathematical Sciences, 249(4):629–646, (2020). DOI: 10.1007/s10958-020-04962-3.
Tatiana Karataieva, Volodymyr Koshmanenko, Malgorzata J. Krawczyk, Krzysztof
Kulakowski. Mean field model of a game for power. Phys. A, 525:535–547, (2019)
DOI: 10.1016/j.physa.2019.03.110.
V. Koshmanenko, O. Satur, V. Voloshyna. Point spectrum in conflict dynamical
systems with fractal partition. Methods Funct. Anal. Topology, 25(4):324–338, (2019).
Volodymyr Koshmanenko, Viktoria Voloshyna, The emergence of point spectrum in models of conflict dynamical systems, Ukrainian Math. J. - 70, ¹ 12, 1615-1624, (2018).
V. Koshmanenko, N. Kharchenko, Fixed points of complex systems with attractive interaction. MFAT, 23, no. 2, 164 - 176, (2017). pdf
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., Dudkin M., The Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators, Operator Theory: Advance and Applications, 253, Birkh\ddot{a}auser, 2016. ISBN 978-3-319-29533-6
Koshmanenko, V. Spectral Theory for Conflict Dynamical Systems (Ukrainian), Naukova Dumka, Kyiv, 2016, 288p.
Koshmanenko V., Verygina I. Dynamical systems of conflict in terms of structural measures. Meth. Funct. Anal. and Top. 22, No 1, 81-93, (2016). pdf
T.V. Karataieva and V.D. Koshmanenko, MODEL OF A DYNAMICAL SYSTEM OF THE “FIRE–WATER” CONFLICT TYPE. Journal of Mathematical Sciences, Vol. 208, No. 5, (2015). pdf
Koshmanenko, V. Existence theorems of the omega-limit states for conflict dynamical systems, Methods Funct. Anal. and Top. 20, No. 4, 379-390, (2014).
M.E. Dudkin, V.D. Koshmanenko, Nonzero capacity sets and dense subspaces in scales of the Sobolev spaces, Methods Funct. Anal. Top., 20, No. 3, 213-218, (2014).
V. Koshmanenko, The infinite direct products of probability measures and structural similarity, Methods Funct. Anal. Topology, vol. 17, no. 1, 20-28, (2011). pdf.
Koshmanenko, V., Samoilenko, I. The conflict triad dynamical system. Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2917–2935, (2011).
Albeverio S., V. Koshmanenko, M. Pratsiovytyi, G. Torbin, On fine structure of singularly continuous probability measures and random variables with independent $\widetilde{Q}$-symbols, Methods Funct. Anal. Topology, vol. 17, no. 2, 97--111, (2011). pdf.
S. Albeverio, A. Konstantinov, and V. Koshmanenko, Remarks on the Inverse Spectral Theory for Singularly
Perturbed Operators, Operator Theory: Advance and Appl.,
190, 115-122, (2009). MR2568625 pdf.
S. Albeverio, V. Koshmanenko. I. Samoilenko, The conflict interaction between two complex systems: Cyclic migration, J. Interdisciplinary Math., 11, No 2,
163-185, (2008). pdf.
M.V. Bodnarchuk, V. Koshmanenko, I. Samoilenko, Dynamics of conflict interactions between systems with internal structure, Nonlinear Oscillations, 9:4, 423-437, (2007).
S. Albeverio, M. Dudkin, V. Koshmanenko, A. Konstantinov. On the point spectrum of H{-2}class singular perturbations, Math. Nachr. 208, No. 1-2, 20-27, (2007).
V. Koshmanenko, Reconstruction of the spectral type of limiting distributions in dynamical conflict systems, Ukrainian Math. J., Vol. 59, No. 6, 771-784 (2007).
R.V. Bozhok and V.D. Koshmanenko Parametrization of Supersingular Perturbations in the Method of Rigged Hilbert Spaces, Russion J. Math. Phys., 14, 4, 409-416, (2007). MR2366197 pdf.
M.V. Bodnarchuk, V. Koshmanenko, I. Samoilenko, Dynamics of conflict interactions between systems with internal structure, Nonlinear Oscillations, 9:4, 423-437, (2007).
V. Koshmanenko, Reconstruction of the spectral type of limiting distributions in dynamical conflict systems, Ukrainian Math. J., Vol. 59, No. 6, 771-784 (2007).
R.V. Bozhok and V.D. Koshmanenko Parametrization of Supersingular Perturbations in the Method of Rigged Hilbert Spaces, Russion J. Math. Phys., 14, 4, 409-416, (2007). MR2366197 pdf.
S. Albeverio, V. Koshmanenko, Ì. Pratsiovytyi, G. Torbin. Spectral properties of image measures under infinite conflict interactions,
Positivity, 10, 39-49, (2006). pdf.
V. Koshmanenko, H. Tuhai, Jacobi matrices associated with the inverse eigenvalue problem in the theory of singular perturbations of self-adjoint
operators, Ukrainian Math. J., Vol. 58, No. 12 (2006).
S. Albeverio, R.Bozhok, V. Koshmanenko, The rigged Hilbert spaces approach in singular perturbation theory, Reports of Math. Phys., 58, No.2, 227-246,
(2006). pdf.
V. Koshmanenko. Construction of singular perturbations by the method of rigged Hilbert spaces, Journal of Phisics A: Mathematical and General, 38, 4999-5009, (2005).
S. Albeverio, V. Koshmanenko, A. Konstantinov, On inverse spectral theory for singularly perturbed operator: point spectrum, Inverse Problems, 21, 1871-1878, (2005).
V. Koshmanenko, Construction of singular perturbations by the method of rigged Hilbert spaces, Journal of Physics A: Mathematical and General, 38,
4999-5009, (2005).
S. Albeverio, R. Bozhok, M. Dudkin, V. Koshmanenko. Dense subspace in scales of Hilbert spaces, Methods of Functional Analysis and Topology, 11, no.~2, 156--169, (2005).
R. Bozhok, V. Koshmanenko, Singular perturbations of self-adjoint operators associated with rigged Hilbert spaces, Ukr. Math. J., 57, No. 5, 622-632,
(2005).
V. Koshmanenko. The Theorem of Conflict for a pair of Probability Measures, Math. Methods of Operations Research, 59, No.2, 303--313, (2004). pdf.
V. Koshmanenko. A theorem on conflict for a pair of stochastic vectors, Ukrainian Math. J., 55, No 4, 671–678, (2003). MR2072559 pdf.
V. Koshmanenko, A variant of the inverse negative eigenvalues problem in singular perturbation theory, Methods of Functional Analysis and Topology, 8, 1, 49-69, (2002).
V. Koshmanenko, Singular Quadratic Forms in Perturbation Theory, Kluwer, Dordrecht, 1999.
Volodymyr Koshmanenko, Singular bilinear forms in perturbations theory of selfadjoint operators, Naukova Dumka, Kiev 1993.
