A. V. Arutyunov, S. E. Zhukovskiy, Mat. Sb., 215:9 (2024) (to appear)
2.
A. V. Arutyunov, S. E. Zhukovskiy, “On the Second Order Sufficient Optimality Conditions for a Problem of Mathematical Programming”, Math. Notes, 115:2 (2024), 148–164
3.
A. V. Arutyunov, S. E. Zhukovskiy, “Applications of $\lambda$-truncations to the study of local and global solvability of nonlinear equations”, Eurasian Math. J., 15:1 (2024), 23–33;
4.
A. V. Arutyunov, S. E. Zhukovskiy, K. A. Tsarkov, “Stability of solutions to extremal problems with constraints based on $\lambda$-truncations”, Avtomat. i Telemekh., 2024, no. 2, 3–20
5.
A. V. Arutyunov, S. E. Zhukovskiy, “On the existence and estimates of inverse functions in the degenerate case”, Dokl. Math., 109:3 (2024), 271–274
6.
A. S. Agapova, A. V. Arutyunov, S. N. Vassilyev, A. A. Galyaev, D. A. Novikov, E. E. Onegin, D. S. Rumyantsev, N. B. Filimonov, K. A. Tsarkov, Avtomat. i Telemekh., 2024, no. 1, 124–126
2023
7.
A. V. Arutyunov, S. E. Zhukovskiy, B. Sh. Mordukhovich, “Implicit Function Theorems for Continuous Mappings
and Their Applications”, Math. Notes, 113:6 (2023), 749–759
8.
A. V. Arutyunov, S. E. Zhukovskiy, “On the Lagrange multiplier rule for minimizing sequences”, Eurasian Math. J., 14:1 (2023), 8–15;
A. V. Arutyunov, S. E. Zhukovskiy, “Stability of Real Solutions to Nonlinear Equations and Its Applications”, Proc. Steklov Inst. Math., 323 (2023), 1–11
10.
A. V. Arutyunov, S. E. Zhukovskiy, “Generalization of Banach’s theorem for cones and covering along curves”, Russian Universities Reports. Mathematics, 28:144 (2023), 361–370
2022
11.
A. V. Arutyunov, A. V. Greshnov, “$(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points. A review of the results”, Fixed Point Theory, 23:2 (2022), 473–486
A. V. Arutyunov, S. E. Zhukovskiy, “Global and semilocal theorems on implicit and inverse functions in Banach spaces”, Sb. Math., 213:1 (2022), 1–41
13.
A. V. Arutyunov, Z. T. Zhukovskaya, S. E. Zhukovskiy, “Antiperiodic boundary value problem for an implicit ordinary differential equation”, Russian Universities Reports. Mathematics, 27:139 (2022), 205–213
2021
14.
A. V. Arutyunov, S. E. Zhukovskiy, “On global solvability of nonlinear equations with parameters”, Dokl. Math., 103:1 (2021), 57–60
15.
A. V. Arutyunov, S. E. Zhukovskiy, “On exact penalties for constrained optimization problems in metric spaces”, Eurasian Math. J., 12:4 (2021), 10–20;
A. V. Arutyunov, “Existence of Real Solutions of Nonlinear Equations without A Priori Normality Assumptions”, Math. Notes, 109:1 (2021), 3–14
17.
A. V. Arutyunov, K. I. Salikhova, “Implicit Function Theorem in a Neighborhood of an Abnormal Point”, Proc. Steklov Inst. Math., 315 (2021), 19–26
18.
A. V. Arutyunov, S. E. Zhukovskiy, “Covering Mappings Acting into Normed Spaces and Coincidence Points”, Proc. Steklov Inst. Math., 315 (2021), 13–18
19.
A. V. Arutyunov, S. E. Zhukovskiy, “Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations”, Proc. Steklov Inst. Math., 312 (2021), 1–15
20.
A. V. Arutyunov, E. A. Pluzhnikova, “On the Cauchy problem for implicit differential equations of higher orders”, Russian Universities Reports. Mathematics, 26:136 (2021), 348–362
2020
21.
A. V. Arutyunov, S. E. Zhukovskiy, “On stability of continuous extensions of mappings with respect to Nemytskii operator”, Dokl. Math., 101:3 (2020), 182–184
22.
A. V. Arutyunov, E. S. Zhukovskiy, S. E. Zhukovskiy, “Coincidence Points and Generalized Coincidence Points of Two Set-Valued Mappings”, Proc. Steklov Inst. Math., 308 (2020), 35–41
23.
A. V. Arutyunov, M. V. Borzova, E. O. Burlakov, A. A. Grigorenko, E. S. Zhukovskiy, S. E. Zhukovskiy, V. P. Maksimov, E. A. Panasenko, E. A. Pluzhnikova, A. V. Ponosov, V. M. Tikhomirov, O. V. Filippova, I. A. Finogenko, Yu. G. Fomicheva, A. G. Chentsov, A. I. Shindyapin, “In memory of professor Alexander Ivanovich Bulgakov”, Russian Universities Reports. Mathematics, 25:129 (2020), 100–102
2019
24.
A. V. Arutyunov, “IInvestigation of the sets of real solutions of non-linear equations”, Izv. Math., 83:2 (2019), 199–213
25.
A. V. Arutyunov, S. E. Zhukovskiy, “Hadamard's theorem for mappings with relaxed smoothness conditions”, Sb. Math., 210:2 (2019), 165–183
26.
A. V. Arutyunov, S. E. Zhukovskiy, K. V. Storozhuk, “The structure of the set of local minima of functions in various spaces”, Siberian Math. J., 60:3 (2019), 398–404
27.
A. V. Arutyunov, E. S. Zhukovskiy, S. E. Zhukovskiy, “Kantorovich's Fixed Point Theorem in Metric Spaces and Coincidence Points”, Proc. Steklov Inst. Math., 304 (2019), 60–73
2018
28.
A. V. Arutyunov, A. V. Greshnov, “$(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points”, Izv. Math., 82:2 (2018), 245–272
29.
A. V. Arutyunov, S. E. Zhukovskii, “Variational Principles in Nonlinear Analysis and Their Generalization”, Math. Notes, 103:6 (2018), 1014–1019
30.
A. V. Arutyunov, E. S. Zhukovskiy, S. E. Zhukovskiy, “On the cardinality of the coincidence set for mappings of metric, normed and partially ordered spaces”, Sb. Math., 209:8 (2018), 1107–1130
31.
A. V. Arutyunov, K. Yu. Osipenko, “Recovering linear operators and Lagrange function minimality condition”, Siberian Math. J., 59:1 (2018), 11–21
2017
32.
A.V. Arutyunov, A.V. Greshnov, L.V. Lokoutsievskii, K.V. Storozhuk, “Topological and geometrical properties of spaces with symmetric and nonsymmetric $f$-quasimetrics”, Topology Appl., 221 (2017), 178–194;
A. V. Arutyunov, S. E. Zhukovskiy, D. Yu. Karamzin, “Some properties of two-dimensional surjective $p$-homogeneous maps”, Comput. Math. Math. Phys., 57:7 (2017), 1081–1089
2016
34.
A. V. Arutyunov, N. G. Pavlova, A. A. Shananin, “Equilibrium prices in an economic equilibrium model”, Matem. Mod., 28:3 (2016), 3–22
35.
A. V. Arutyunov, S. E. Zhukovskii, “On Surjective Quadratic Mappings”, Math. Notes, 99:2 (2016), 192–195
36.
A. V. Arutyunov, S. E. Zhukovskiy, “Properties of surjective real quadratic maps”, Sb. Math., 207:9 (2016), 1187–1214
2015
37.
A. V. Arutyunov, B. D. Gel'man, “On the structure of the set of coincidence points”, Sb. Math., 206:3 (2015), 370–388
38.
A. V. Arutyunov, “Caristi's condition and existence of a minimum of a lower bounded function in a metric space. Applications to the theory of coincidence points”, Proc. Steklov Inst. Math., 291 (2015), 24–37
39.
A. V. Arutyunov, S. E. Zhukovskiy, “On estimates for solutions of systems of convex inequalities”, Comput. Math. Math. Phys., 55:9 (2015), 1444–1450
2014
40.
A. V. Arutyunov, “Coincidence Points of Two Maps”, Funct. Anal. Appl., 48:1 (2014), 72–75
2016
41.
A. V. Arutyunov, S. E. Zhukovskiy, “On the continuity of inverse mappings for Lipschitz perturbations of covering mappings”, J. Math. Sci., 217:6 (2016), 731–735
2014
42.
E. R. Avakov, A. V. Arutyunov, D. Yu. Karamzin, “An investigation of smooth maps in a neighbourhood of an abnormal point”, Izv. Math., 78:2 (2014), 213–250
2016
43.
A. V. Arutyunov, D. Yu. Karamzin, F. L. Pereira, “Conditions for the absence of jumps of the solution to the adjoint system of the maximum principle for optimal control problems with state constraints”, Proc. Steklov Inst. Math. (Suppl.), 292, suppl. 1 (2016), 27–35
2013
44.
A. V. Arutyunov, “Properties of the Minimum Function in the Quadratic Problem”, Math. Notes, 94:1 (2013), 32–40
45.
A. V. Arutyunov, S. E. Zhukovskiy, N. G. Pavlova, “Equilibrium price as a coincidence point of two mappings”, Comput. Math. Math. Phys., 53:2 (2013), 158–169
2012
46.
A. V. Arutyunov, “Two Problems of the Theory of Quadratic Maps”, Funct. Anal. Appl., 46:3 (2012), 225–227
47.
A. V. Arutyunov, “Smooth abnormal problems in extremum theory and analysis”, Russian Math. Surveys, 67:3 (2012), 403–457
48.
A. V. Arutyunov, “An iterative method for finding coincidence points of two mappings”, Comput. Math. Math. Phys., 52:11 (2012), 1483–1486
49.
A. V. Arutyunov, S. E. Zhukovskiy, Z. T. Mingaleeva, “Differential properties of the minimum function for diagonalizable quadratic problems”, Comput. Math. Math. Phys., 52:10 (2012), 1342–1350
2011
50.
A. V. Arutyunov, D. Yu. Karamzin, “Regular zeros of quadratic maps and their application”, Sb. Math., 202:6 (2011), 783–806
2010
51.
A. V. Arutyunov, “On implicit function theorems at abnormal points”, Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S18–S27
52.
A. V. Arutyunov, S. E. Zhukovskiy, “Existence and properties of inverse mappings”, Proc. Steklov Inst. Math., 271 (2010), 12–22
53.
A. V. Arutyunov, D. A. Zhukov, “Investigation of a linear optimal control problem with state constraints”, Vladikavkaz. Mat. Zh., 12:1 (2010), 3–9
54.
A. V. Arutyunov, Yu. N. Bibikov, F. P. Vasil'ev, I. V. Gaishun, S. V. Emel'yanov, V. A. Il'in, I. T. Kiguradze, S. K. Korovin, L. D. Kudryavtsev, A. B. Kurzhanskii, S. A. Mazanik, E. K. Makarov, A. A. Martynyuk, E. F. Mishchenko, E. I. Moiseev, Yu. S. Osipov, V. A. Pliss, N. Kh. Rozov, V. A. Sadovnichy, A. M. Samoilenko, T. K. Shemjakina, “Nikolai Alekseevich Izobov (A tribute in honor of his 70th birthday)”, Differ. Equ., 46:1 (2010), 1–7
55.
E. R. Avakov, A. V. Arutyunov, L. A. Beklaryan, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Osipenko Konstantin Yur'evich (on his 60th birthday)”, Vladikavkaz. Mat. Zh., 12:1 (2010), 68–70
2009
56.
A. V. Arutyunov, “Stability of Coincidence Points and Properties of Covering Mappings”, Math. Notes, 86:2 (2009), 153–158
57.
A. V. Arutyunov, B. D. Gel'man, “Minimum of a functional in a metric space and fixed points”, Comput. Math. Math. Phys., 49:7 (2009), 1111–1118
58.
A. V. Arutyunov, B. T. Polyak, “B. S. Mordukhovich. Variational Analysis and Generalized Differentiation. I. Basic Theory, II. Applications. Springer, Series Fundamental Principles of Mathematical Sciences, vol. 330, 601 p.; vol. 331, 632 p, 2006”, Autom. Remote Control, 70:6 (2009), 1086–1087
2008
59.
A. V. Arutyunov, “Nonnegativity of Quadratic Forms on Intersections of Quadrics and Quadratic Maps”, Math. Notes, 84:2 (2008), 155–165
60.
E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Exact penalties for optimization problems with 2-regular equality constraints”, Comput. Math. Math. Phys., 48:3 (2008), 346–353
2007
61.
E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “Necessary Conditions for an Extremum in a Mathematical Programming Problem”, Proc. Steklov Inst. Math., 256 (2007), 2–25
62.
A. V. Arutyunov, D. Yu. Karamzin, “Necessary optimality conditions for abnormal problems with geometric constraints”, Comput. Math. Math. Phys., 47:3 (2007), 349–360
2006
63.
A. V. Arutyunov, “Controllability of nonlinear systems with constrained controls”, Differ. Equ., 42:11 (2006), 1515–1523
64.
A. V. Arutyunov, D. Yu. Karamzin, “Necessary optimality conditions in an abnormal optimization problem with equality constraints”, Comput. Math. Math. Phys., 46:8 (2006), 1293–1298
65.
A. V. Arutyunov, E. V. Kruglova, “On the consistency of linear and quadratic systems”, Comput. Math. Math. Phys., 46:4 (2006), 537–540
66.
A. V. Arutyunov, “An implicit function theorem without a priori assumptions about normality”, Comput. Math. Math. Phys., 46:2 (2006), 195–205
67.
A. V. Arutyunov, S. V. Emel'yanov, N. A. Izobov, V. A. Il'in, S. K. Korovin, V. I. Korzyuk, A. M. Samoilenko, V. T. Borukhov, O. I. Kostyukova, T. K. Shemjakina, N. J. Yurchuk, “Ivan Vasil'evich Gaishun (A tribute in honor of his sixtieth birthday)”, Differ. Equ., 42:10 (2006), 1365–1373
2005
68.
A. V. Arutyunov, D. Yu. Karamzin, “Necessary Conditions for a Weak Minimum in an Optimal Control Problem with Mixed Constraints”, Differ. Equ., 41:11 (2005), 1532–1543
69.
A. V. Arutyunov, “Implicit-Function Theorem on the Cone in a Neighborhood of an Irregular Point”, Math. Notes, 78:4 (2005), 573–576
70.
A. V. Arutyunov, “Covering of nonlinear maps on a cone in neighborhoods of irregular points”, Math. Notes, 77:4 (2005), 447–460
71.
A. V. Arutyunov, “On real quadratic forms annihilating an intersection of quadrics”, Russian Math. Surveys, 60:1 (2005), 157–158
72.
E. R. Avakov, A. V. Arutyunov, “Inverse function theorem and conditions of extremum for abnormal problems with non-closed range”, Sb. Math., 196:9 (2005), 1251–1269
73.
A. V. Arutyunov, “Solvability conditions for nonlinear equations on a cone in a neighborhood of an anormal point”, Proc. Steklov Inst. Math. (Suppl.), 2005no. , suppl. 1, S25–S30
2004
74.
A. V. Arutyunov, N. G. Pavlova, “Topological properties of attainability sets of linear systems”, Differ. Equ., 40:11 (2004), 1645–1648
75.
A. V. Arutyunov, “Some elementary formulas of convex analysis”, Vladikavkaz. Mat. Zh., 6:4 (2004), 7–9
76.
E. R. Avakov, A. V. Arutyunov, A. F. Izmailov, “On convergence rate estimates for power penalty methods”, Comput. Math. Math. Phys., 44:10 (2004), 1684–1695
77.
A. V. Arutyunov, A. F. Izmailov, “Sensitivity analysis for abnormal optimization problems with a cone constraint”, Comput. Math. Math. Phys., 44:4 (2004), 552–574
78.
A. V. Arutyunov, A. P. Buslaev, E. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, S. S. Kutateladze, K. Yu. Osipenko, V. M. Tikhomirov, “GeorgiĭGeorgievich Magaril-Il'yaev (on the occasion of his sixtieth birthday)”, Vladikavkaz. Mat. Zh., 6:2 (2004), 61–63
79.
A. V. Arutyunov, A. P. Buslaev, È. M. Galeev, M. L. Gol'dman, V. B. Demidovich, A. G. Kusraev, S. S. Kutateladze, G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. S. Polovinkin, “Vladimir Mikhaĭlovich Tikhomirov (on the occasion of his seventieth birthday)”, Vladikavkaz. Mat. Zh., 6:4 (2004), 3–6
2003
80.
A. V. Arutyunov, “The Pontryagin Maximum Principle and Sufficient Optimality Conditions for Nonlinear Problems”, Differ. Equ., 39:12 (2003), 1671–1679
81.
A. V. Arutyunov, R. B. Vinter, “A Finite-Dimensional Approximation Method in Optimal Control Theory”, Differ. Equ., 39:11 (2003), 1519–1528
82.
A. V. Arutyunov, A. F. Izmailov, “The sensitivity theory for abnormal optimization problems with equality constraints”, Comput. Math. Math. Phys., 43:2 (2003), 178–193
2002
83.
A. V. Arutyunov, V. N. Burkov, A. Yu. Zalozhnev, D. Yu. Karamzin, “A Problem of Optimal Distribution of Resources over a Set of Independent Operations”, Autom. Remote Control, 63:5 (2002), 792–802
84.
A. V. Arutyunov, Yu. S. Vereshchagina, “On Necessary Second-Order Conditions in Optimal Control Problems”, Differ. Equ., 38:11 (2002), 1531–1540
85.
A. V. Arutyunov, V. Jacimovic, “2-Normal Processes in Controlled Dynamical Systems”, Differ. Equ., 38:8 (2002), 1081–1094
86.
A. V. Arutyunov, “Positive Quadratic Forms on Intersections of Quadrics”, Math. Notes, 71:1 (2002), 25–33
87.
A. V. Arutyunov, “Necessary Extremum Conditions and an Inverse Function Theorem without a priori Normality Assumptions”, Proc. Steklov Inst. Math., 236 (2002), 25–36
88.
A. V. Arutyunov, A. F. Izmailov, “Checking the sign-definiteness of forms”, Comput. Math. Math. Phys., 42:6 (2002), 767–780
2001
89.
A. V. Arutyunov, “Milyutin's Theorem in Linear-Quadratic Optimal Control Problems”, Differ. Equ., 37:11 (2001), 1627–1630
90.
A. V. Arutyunov, N. S. Bakhvalov, M. E. Bogovskii, V. S. Vladimirov, A. A. Dezin, V. A. Il'in, E. F. Mishchenko, V. P. Maslov, S. M. Nikol'skii, S. V. Uspenskii, V. M. Filippov, “Vera Nikolaevna Maslennikova (obituary)”, Russian Math. Surveys, 56:4 (2001), 739–743
2000
91.
A. V. Arutyunov, “Implicit function theorem as a realization of the Lagrange principle. Abnormal points”, Sb. Math., 191:1 (2000), 1–24
1999
92.
A. V. Arutyunov, V. N. Rozova, “Regular zeros of a quadratic mapping and local controllability of nonlinear systems”, Differ. Equ., 35:6 (1999), 723–728
2001
93.
A. V. Arutyunov, N. Yu. Chernikova, “On the controllability of trajectories in optimal control problems with phase constraints”, J. Math. Sci. (N. Y.), 103:6 (2001), 664–669
1999
94.
A. V. Arutyunov, M. I. Gusev, S. V. Emel'yanov, V. A. Il'in, S. K. Korovin, N. N. Krasovskii, E. F. Mishchenko, Yu. S. Osipov, F. L. Chernous'ko, “Aleksandr Borisovich Kurzhanskiǐ (on the occasion of his sixtieth birthday)”, Differ. Equ., 35:11 (1999), 1463–1473
1998
95.
A. V. Arutyunov, “Relaxation and perturbation of optimal control problem”, Proc. Steklov Inst. Math., 220 (1998), 23–30
1996
96.
A. V. Arutyunov, “On the theory of abnormal extremal problems with a finite-dimensional image”, Dokl. Akad. Nauk, 348:3 (1996), 295–298
97.
A. V. Arutyunov, “Second-order conditions in extremal problems with finite-dimensional range. 2-normal maps”, Izv. Math., 60:1 (1996), 39–65
1995
98.
A. V. Arutyunov, “Investigation of quadratic forms of calculus of variations with exponential degeneracy on a small time interval”, Proc. Steklov Inst. Math., 211 (1995), 35–54
1994
99.
A. V. Arutyunov, S. M. Aseev, “The maximum principle in optimal control problems with phase constraints. Nondegeneracy and stability”, Dokl. Math., 49:1 (1994), 38–42
1995
100.
A. V. Arutyunov, “On the theory of degenerate quadratic forms in the classical calculus of variations”, Izv. Math., 45:3 (1995), 433–476
1994
101.
A. V. Arutyunov, “Degenerate quadratic forms of the calculus of variations”, Dokl. Math., 48:3 (1994), 491–497
102.
A. V. Arutyunov, S. M. Aseev, V. I. Blagodatskikh, “First-order necessary conditions in the problem of optimal control of a differential inclusion with phase constraints”, Sb. Math., 79:1 (1994), 117–139
1993
103.
A. V. Arutyunov, “Sign-definiteness of quadratic forms of the calculus of variations with power degeneration”, Dokl. Math., 46:2 (1993), 337–342
1992
104.
A. V. Arutyunov, “Higher-order extremum conditions in abnormal minimization problems”, Siberian Math. J., 33:4 (1992), 557–565
105.
A. V. Arutyunov, “Erratum: “Sign-definiteness of quadratic forms of the calculus of variations with power degeneration””, Dokl. Akad. Nauk, 327:2 (1992), 182
1991
106.
A. V. Arutyunov, “Properties of quadratic maps in a Banach space”, Math. Notes, 50:4 (1991), 993–999
1992
107.
E. R. Avakov, A. A. Agrachev, A. V. Arutyunov, “The level set of a smooth mapping in a neighborhood of a singular point, and zeros of a quadratic mapping”, Sb. Math., 73:2 (1992), 455–466
1993
108.
A. V. Arutyunov, V. I. Blagodatskikh, “Maximum-principle for differential inclusions with space constraints”, Proc. Steklov Inst. Math., 200 (1993), 3–25
1991
109.
A. V. Arutyunov, “Higher-order conditions in abnormal extremal problems with equality-type constraints”, Dokl. Math., 42:3 (1991), 799–804
110.
A. V. Arutyunov, “On the theory of quadratic mappings in Banach spaces”, Dokl. Math., 42:2 (1991), 621–623
1990
111.
A. V. Arutyunov, “Necessary conditions for an extremum in an abnormal problem with equality constraints”, Russian Math. Surveys, 45:5 (1990), 223–224
1989
112.
A. V. Arutyunov, “On the theory of the maximum principle in optimal control problems with phase constraints”, Dokl. Math., 39:1 (1989), 1–4
113.
A. V. Arutyunov, M. D. Mardanov, “On the theory of the maximum principle in problems with delays”, Differ. Equ., 25:12 (1989), 1443–1452
1991
114.
A. V. Arutyunov, “Perturbations of extremal problems with constraints, and necessary conditions for optimality”, J. Math. Sci. (N. Y.), 54:6 (1991), 1342–1400
1986
115.
A. V. Arutyunov, M. D. Mardanov, “On the theory of optimal processes with delays”, Differ. Uravn., 22:8 (1986), 1291–1298
1985
116.
A. V. Arutyunov, “On necessary conditions for optimality in a problem with phase constraints”, Dokl. Akad. Nauk SSSR, 280:5 (1985), 1033–1037
1984
117.
A. V. Arutyunov, N. T. Tynyanskii, “On necessary conditions for a local minimum in optimal control theory”, Dokl. Akad. Nauk SSSR, 275:2 (1984), 268–272
118.
A. V. Arutyunov, N. T. Tynyanskii, “The fixed sign property of quadratic forms on a cone”, Russian Math. Surveys, 39:2 (1984), 139–140
1983
119.
A. V. Arutyunov, “The first condition in L. S. Pontryagin's article: “On the theory of differential games” [Uspekhi Mat. Nauk 21 (1966), no. 4(130), 219–274; MR0204187]”, Differ. Uravn., 19:6 (1983), 923–938
1982
120.
A. V. Arutyunov, “On a class of linear processes of time-optimality”, Differ. Uravn., 18:4 (1982), 555–560
1983
121.
N. T. Tynyanskii, A. V. Arutyunov, “On the system of Jacobi equations in a time-optimal problem”, Izv. Math., 21:2 (1983), 375–397
1981
122.
A. V. Arutyunov, N. T. Tynyanskii, “On second-order conditions in a time-optimal problem”, Dokl. Akad. Nauk SSSR, 261:3 (1981), 523–526
123.
A. V. Arutyunov, N. T. Tynyanskii, “First- and second-order conditions in the problem of optimal high-speed”, Russian Math. Surveys, 36:6 (1981), 167–168
1980
124.
A. V. Arutyunov, “Convex properties of the legendre transform”, Math. Notes, 28:2 (1980), 591–595
1972
125.
A. V. Arutyunov, S. N. Banchila, L. P. Filippov, TVT, 10:3 (1972), 547–550
126.
A. V. Arutyunov, S. N. Banchila, L. P. Filippov, TVT, 10:2 (1972), 425–428
127.
A. V. Arutyunov, S. N. Banchila, TVT, 10:1 (1972), 190–192
1971
128.
A. V. Arutyunov, S. N. Banchila, L. P. Filippov, “Properties of titanium at temperatures above $1000^{\circ}$ K”, High Temperature, 9:3 (1971), 487–489
1970
129.
A. V. Arutyunov, L. P. Filippov, “Thermal properties of rhenium at high temperatures”, High Temperature, 8:5 (1970), 1025–1027
О неравенствах среднего значения S. E. Zhukovskiy, A. V. Arutyunov, Z. T. Zhukovskaya Noncommutative geometry and topology February 22, 2024 16:45
4.
On nonlocal inverse function theorems and their applications A. V. Arutyunov, S. E. Zhukovskiy International Conference “Differential Equations and Optimal Control” dedicated to the centenary of the birth of Academician Evgenii Frolovich Mishchenko June 9, 2022 16:30
5.
Some inverse function theorems A. V. Arutyunov, S. E. Zhukovskiy Geometric Theory of Optimal Control April 20, 2022 16:45
Теорема Канторовича о неподвижной точке и теоремы о точках совпадения отображений в пространстве с векторной метрикой А. В. Арутюнов, Е. С. Жуковский, С. Е. Жуковский International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information
Technologies of Derzhavin Tambov State University October 14, 2020 18:55
9.
Глобальные теоремы о неявной функции А. В. Арутюнов, С. Е. Жуковский International Scientific Conference KOLMOGOROV READINGS – IX. General Control Problems and their Applications (GCP–2020), dedicated to the 70-th birth anniversary of Alexander Ivanovich Bulgakov and to the 90-th anniversary of the Institute of Mathematics, Physics and Information
Technologies of Derzhavin Tambov State University October 12, 2020 13:05
Coincidence points theory in metric spaces A. V. Arutyunov International Conference "Mathematical Theory of Optimal Control"
dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 2, 2017 12:35
Равномерные оценки расстояний до множества точек совпадения A. V. Arutyunov, S. E. Zhukovskii, E. R. Avakov Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics December 2, 2015 16:00
О разрешимости уравнений Вольтерра неявного вида (продолжение) A. V. Arutyunov, S. E. Zhukovskii, E. S. Zhukovskii Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics March 12, 2014 16:00
30.
О разрешимости уравнений Вольтерра неявного вида A. V. Arutyunov, S. E. Zhukovskii, E. S. Zhukovskii Seminar on Theory of Functions of Several Real Variables and Its Applications to Problems of Mathematical Physics March 5, 2014 16:00
Abnormal problems in extremum theory and analysis A. V. Arutyunov Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin September 25, 2013 15:20
2024
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