mathematical modeling,
stochastic dynamics,
ordinary and patial functional differential equations.
Subject:
mathematical modeling, stochastic dynamics, ordinary and patial functional differential equations
Main publications:
Soize C., Poloskov I., “Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation”, Computers & Mathematics with Applications, 64:11 (2012), 3594–3612
Poloskov I.E., “Phase space extension in the analysis of differential-difference systems with random input”, Automation and Remote Control, 63:9 (2002), 1426–1438
Poloskov I.E., “On a method for approximate analysis of linear stochastic integro-differential systems”, Differential Equations, 41:9 (2005), 1349–1352
Poloskov I.E., “On one technique of random processes analysis in continuous medium”, Mathematical Modeling, 15:4 (2003), 85–100
Malanin V.V., I. E. Poloskov I.E., “Symbolic and Numeric Schemes for Analysis of Deterministic Systems with Aftereffect”, Vestnik RUDN. Seriya “Matematika. Informatika. Fizika”, 2010, № 2 (2), 28–33
I. E. Poloskov, “Equations for covariance functions of the state vector of a linear system of stochastic differential equations with finite concentrated and distributed delays”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 233 (2024), 46–55
2017
2.
I. E. Poloskov, “Numerical and analytical methods of the study of stochastic systems with delay”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 132 (2017), 95–100; J. Math. Sci. (N. Y.), 230:5 (2018), 746–751
I. E. Poloskov, “Stochastic differential equations with random delays in the form of discrete Markov chains”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 25:4 (2015), 501–516
2007
4.
I. E. Poloskov, “An analysis of modifications of the Black-Scholes model of the dynamics of the pricing of financial derivatives”, Sib. Zh. Ind. Mat., 10:2 (2007), 110–118
2005
5.
I. E. Poloskov, “On a Method for Approximate Analysis of Linear Stochastic Integro-Differential Systems”, Differ. Uravn., 41:9 (2005), 1276–1279; Differ. Equ., 41:9 (2005), 1349–1352
I. E. Poloskov, “Calculation of the first moments of the random concentration of the river pollution matter”, Sib. Zh. Ind. Mat., 7:2 (2004), 103–110
2003
8.
I. E. Poloskov, “On one technique of random processes analysis in continuous media”, Matem. Mod., 15:4 (2003), 85–100
2002
9.
I. E. Poloskov, “Phase Space Extension in the Analysis of Differential-Difference Systems with Random Input”, Avtomat. i Telemekh., 2002, no. 9, 58–73; Autom. Remote Control, 63:9 (2002), 1426–1438