Differential Equations, Number Theory, Graphs, Econometrics, Chemometrics.
Main publications:
Kotenko, AP; Bukarenko MB, “A queuing system with distinct devices as the finite state machine”, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki, 3(28) (2012), 114-124
Kotenko, AP, “Determination of slow variables in a singular perturbed system in Banach space”, Vestn. Samar. Gos. Univ., Mat. Mekh. Fiz. Khim. Biol., 2(4) (1997), 120-123
Kotenko, AP, “Smoothness of the stable invariant set in the reduction principle”, Applied methods of functional analysis, Interuniv. Collect. sci. Works, Voronezh, 1985, 80-86
Kotenko, AP, “The separation of slow constituent motions of gyroscopic systems”, Approximate methods for investigating differential equations and their applications, Interuniv. Collect., Kujbyshev, 1984, 56-62
Kotenko, AP; Dokuchaev, AV, “Recovery of directed graphs from the matrix of peaks neighborhood”, Proceedings of International conference .Information Technology and Nanotech-nology (ITNT-2015). (Samara, Russia, June 2015), CEUR Workshop Proceedings, 1490, CEUR-Workshop, Germany, 2015, 406-413
A. P. Kotenko, M. B. Bukarenko, “Software system for simulation of study of queuing system with heterogeneous servers and independent queues”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 50–57
A. P. Kotenko, M. B. Bukarenko, “A queuing system with distinct devices as the finite state machine”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(28) (2012), 114–124
A. P. Kotenko, M. B. Bukarenko, “High volatile markets analysis with using Berg method and Chebyshev type II filters, and statistical modeling of the risk of loss for its tools”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 3(24) (2011), 189–192
A. V. Dokuchaev, A. P. Kotenko, “Properties of Graphs of Problems Network Planning and Management”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 5(21) (2010), 204–211
A. V. Docuchaev, A. P. Kotenko, “Optimisation of Attraction of Additional Resources in Network Planning”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 1(20) (2010), 234–238
A. V. Dokuchaev, A. P. Kotenko, “Graphic-analytical method of solution of expenses minimisation problem”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 277–279
A. P. Kotenko, E. I. Medvedeva, “Алгебраический алгоритм раскраски вершин планарного графа”, Matem. Mod. Kraev. Zadachi, 4 (2008), 93–94
10.
A. V. Dokuchaev, A. P. Kotenko, “New algorithm of dynamic programming for stochastic problems solution”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(17) (2008), 203–209
K. A. Drozdenko, A. P. Kotenko, “Dynamical programming method using in stochastic problems of resources distribution”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(15) (2007), 184–185
A. V. Dokuchaev, A. P. Kotenko, “Production scheduling problem with stochastic non-deterministic parameters”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(15) (2007), 182–183