01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
09.02.1962
E-mail:
Keywords:
stochastic functional-differential equations,
stability of solutions,
admissibility of pairs of spaces,
stability by initial function,
method of (model) equations.
Main publications:
Kadiev R. I. Dostatochnye usloviya ustoichivosti stokhasticheskikh sistem // Differents. uravneniya, 1997, 33(3), 423–424.
Kadiev R. I. K voprosu ob ustoichivosti stokhasticheskikh funktsionalno-differentsialnykh uravnenii po pervomu priblizheniyu // Izv. vuzov, ser. matem., 1999, 10, 3–8.
Kadiev R. I. Asimptoticheskaya ustoichivost differentsialnykh sistem Ito s zapazdyvayuschim argumentom // Differents. uravneniya, 2000, 24(2), 163–167.
R. I. Kadiev, A. V. Ponosov, “Asymptotic moment stability of solutions to systems of nonlinear differential Itô equations with aftereffect”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 7, 63–76
2022
2.
R. I. Kadiev, A. V. Ponosov, “Global stability of systems of nonlinear Itô differential equations with aftereffect and N.V. Azbelev's $W$-method”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 1, 38–56; Russian Math. (Iz. VUZ), 66:1 (2022), 31–45
R. I. Kadiev, “Stability of systems of Ito linear differential equations with delays”, Daghestan Electronic Mathematical Reports, 2021, no. 16, 24–50
2020
4.
R. I. Kadiev, A. V. Ponosov, “Positive invertibility of matrices and exponential stability of impulsive systems of Ito linear differential equations with bounded delays”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 8, 18–35; Russian Math. (Iz. VUZ), 64:8 (2020), 14–29
R. I. Kadiev, “Stability of impulse systems of two linear Ito differential equations with delay”, Vladikavkaz. Mat. Zh., 22:1 (2020), 49–65
2016
6.
R. I. Kadiev, “Asymptotic stability of a linear impulse system of Itô differential equations with linear delays”, Daghestan Electronic Mathematical Reports, 2016, no. 6, 61–82
7.
R. I. Kadiev, “Stability of solutions of the linear system of functional-difference Ito equations”, Daghestan Electronic Mathematical Reports, 2016, no. 5, 25–48
2014
8.
R. I. Kadiev, “Investigation of sustainability issues for linear stochastic functional differential equations by the method of auxiliary equations”, Daghestan Electronic Mathematical Reports, 2014, no. 2, 45–67
2012
9.
R. I. Kadiev, A. V. Ponosov, “Studies of stability problems for linear stochastic functional-differential equations by N. V. Azbelev’s «$W$-method»”, Izv. IMI UdGU, 2012, no. 1(39), 64–65
2005
10.
R. I. Kadiev, V. M. Mirsalimov, “Retardation of a crack with connections between the faces using an induced thermplastic stress field”, Prikl. Mekh. Tekh. Fiz., 46:1 (2005), 133–143; J. Appl. Mech. Tech. Phys., 46:1 (2005), 108–116
R. I. Kadiev, “Stability of Solutions of Stochastic Differential Equations with Random Delays”, Differ. Uravn., 40:2 (2004), 261–264; Differ. Equ., 40:2 (2004), 276–281
R. I. Kadiev, V. M. Mirsalimov, “Closing of a crack in a plane with the help induced thermoelastic stress field”, Mat. Model., 16:7 (2004), 59–67
2003
13.
R. I. Kadiev, “Investigation of the spectral characteristics of the one-dimensional Schrödinger operator with a potential having $\delta$ and $\delta'$ interactions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2003, no. 8, 77–81; Russian Math. (Iz. VUZ), 47:8 (2003), 74–78
2001
14.
R. I. Kadiev, “Stability of solutions with respect to part of the variables of stochastic functional-differential equations with respect to the first approximation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 5, 30–35; Russian Math. (Iz. VUZ), 45:5 (2001), 28–32
R. I. Kadiev, “Asymptotic stability of Itô differential systems with retarded argument”, Differ. Uravn., 36:2 (2000), 163–167; Differ. Equ., 36:2 (2000), 187–192
R. I. Kadiev, “Sufficient conditions for stability with respect to part of the variables of linear stochastic systems with aftereffect”, Izv. Vyssh. Uchebn. Zaved. Mat., 2000, no. 6, 75–79; Russian Math. (Iz. VUZ), 44:6 (2000), 72–76
R. I. Kadiev, “On the stability of stochastic functional-differential equations with respect to the first approximation”, Izv. Vyssh. Uchebn. Zaved. Mat., 1999, no. 10, 3–8; Russian Math. (Iz. VUZ), 43:10 (1999), 1–6
R. I. Kadiev, “Sufficient conditions for the stability of stochastic systems”, Differ. Uravn., 33:3 (1997), 423–424; Differ. Equ., 33:3 (1997), 426–427
R. I. Kadiev, “Existence and uniqueness of the solution of the Cauchy problem for functional-differential equations with respect to a semimartingale”, Izv. Vyssh. Uchebn. Zaved. Mat., 1995, no. 10, 35–39; Russian Math. (Iz. VUZ), 39:10 (1995), 33–37
R. I. Kadiev, “Sufficient conditions for the stability of stochastic systems with aftereffect”, Differ. Uravn., 30:4 (1994), 555–564; Differ. Equ., 30:4 (1994), 509–517
R. I. Kadiev, “The admissibility of pairs of spaces with respect to some of the variables for linear stochastic functional-differential equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 5, 13–22; Russian Math. (Iz. VUZ), 38:5 (1994), 11–20
R. I. Kadiev, A. V. Ponosov, “Stability of linear stochastic functional-differential equations with constantly acting perturbations”, Differ. Uravn., 28:2 (1992), 198–207; Differ. Equ., 28:2 (1992), 173–179