A. V. Arutyunov, S. E. Zhukovskiy, Mat. Sb. (to appear)
2025
2.
A. V. Arutyunov, S. E. Zhukovskiy, “Solvability of nonlinear degenerate equations and estimates for inverse functions”, Sb. Math., 216:1 (2025), 1–24
3.
A. V. Arutyunov, S. E. Zhukovskiy, “On one class of regular $\lambda$-truncations and its applications to inverse functions”, Math. Notes, 117:5 (2025), 693–706
4.
A. V. Arutyunov, S. E. Zhukovskiy, “On stability of smooth nonlinear mappings at a given point”, Trudy Inst. Mat. i Mekh. UrO RAN, 31, no. 2, 2025, 30–37
5.
A. V. Arutyunov, S. E. Zhukovskiy, “On stability of saddle points”, Mat. Zametki, 118:6 (2025), 824–843
6.
A. V. Arutyunov, O. A. Vasyanin, “Existence of a coincidence point in a critical case when the covering constant and the Lipschitz constant are equal”, Vestnik rossiiskikh universitetov. Matematika, 30:151 (2025), 209–217;
7.
A. V. Arutyunov, E. S. Zhukovskiy, S. E. Zhukovskiy, “Existence and properties of solutions to the generalized Nash equilibrium problem”, Siberian Math. J., 66:5 (2025), 1116–1133
2024
8.
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
9.
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;
A. V. Arutyunov, S. E. Zhukovskiy, K. A. Tsarkov, “Stability of solutions to extremal problems with constraints based on $\lambda$-truncations”, Autom. Remote Control, 85:2 (2024), 91–102
11.
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
12.
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, Autom. Remote Control, 85:1 (2024), 97–98
2023
13.
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
14.
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
16.
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
17.
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
19.
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
20.
A. V. Arutyunov, S. E. Zhukovskiy, “On global solvability of nonlinear equations with parameters”, Dokl. Math., 103:1 (2021), 57–60
21.
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
23.
A. V. Arutyunov, K. I. Salikhova, “Implicit Function Theorem in a Neighborhood of an Abnormal Point”, Proc. Steklov Inst. Math., 315 (2021), 19–26
24.
A. V. Arutyunov, S. E. Zhukovskiy, “Covering Mappings Acting into Normed Spaces and Coincidence Points”, Proc. Steklov Inst. Math., 315 (2021), 13–18
25.
A. V. Arutyunov, S. E. Zhukovskiy, “Stable Solvability of Nonlinear Equations under Completely Continuous Perturbations”, Proc. Steklov Inst. Math., 312 (2021), 1–15
26.
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
27.
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
28.
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
29.
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
30.
A. V. Arutyunov, “IInvestigation of the sets of real solutions of non-linear equations”, Izv. Math., 83:2 (2019), 199–213
31.
A. V. Arutyunov, S. E. Zhukovskiy, “Hadamard's theorem for mappings with relaxed smoothness conditions”, Sb. Math., 210:2 (2019), 165–183
32.
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
33.
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
34.
A. V. Arutyunov, A. V. Greshnov, “$(q_1,q_2)$-quasimetric spaces. Covering mappings and coincidence points”, Izv. Math., 82:2 (2018), 245–272
35.
A. V. Arutyunov, S. E. Zhukovskii, “Variational Principles in Nonlinear Analysis and Their Generalization”, Math. Notes, 103:6 (2018), 1014–1019
36.
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
37.
A. V. Arutyunov, K. Yu. Osipenko, “Recovering linear operators and Lagrange function minimality condition”, Siberian Math. J., 59:1 (2018), 11–21
2017
38.
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
40.
A. V. Arutyunov, N. G. Pavlova, A. A. Shananin, “Equilibrium prices in an economic equilibrium model”, Matem. Mod., 28:3 (2016), 3–22
41.
A. V. Arutyunov, S. E. Zhukovskii, “On Surjective Quadratic Mappings”, Math. Notes, 99:2 (2016), 192–195
42.
A. V. Arutyunov, S. E. Zhukovskiy, “Properties of surjective real quadratic maps”, Sb. Math., 207:9 (2016), 1187–1214
2015
43.
A. V. Arutyunov, B. D. Gel'man, “On the structure of the set of coincidence points”, Sb. Math., 206:3 (2015), 370–388
44.
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
45.
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
46.
A. V. Arutyunov, “Coincidence Points of Two Maps”, Funct. Anal. Appl., 48:1 (2014), 72–75
2016
47.
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
48.
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
49.
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
50.
A. V. Arutyunov, “Properties of the Minimum Function in the Quadratic Problem”, Math. Notes, 94:1 (2013), 32–40
51.
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
52.
A. V. Arutyunov, “Two Problems of the Theory of Quadratic Maps”, Funct. Anal. Appl., 46:3 (2012), 225–227
53.
A. V. Arutyunov, “Smooth abnormal problems in extremum theory and analysis”, Russian Math. Surveys, 67:3 (2012), 403–457
54.
A. V. Arutyunov, “An iterative method for finding coincidence points of two mappings”, Comput. Math. Math. Phys., 52:11 (2012), 1483–1486
55.
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
56.
A. V. Arutyunov, D. Yu. Karamzin, “Regular zeros of quadratic maps and their application”, Sb. Math., 202:6 (2011), 783–806
2010
57.
A. V. Arutyunov, “On implicit function theorems at abnormal points”, Proc. Steklov Inst. Math. (Suppl.), 271, suppl. 1 (2010), S18–S27
58.
A. V. Arutyunov, S. E. Zhukovskiy, “Existence and properties of inverse mappings”, Proc. Steklov Inst. Math., 271 (2010), 12–22
59.
A. V. Arutyunov, D. A. Zhukov, “Investigation of a linear optimal control problem with state constraints”, Vladikavkaz. Mat. Zh., 12:1 (2010), 3–9
60.
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
61.
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
62.
A. V. Arutyunov, “Stability of Coincidence Points and Properties of Covering Mappings”, Math. Notes, 86:2 (2009), 153–158
63.
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
64.
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
65.
A. V. Arutyunov, “Nonnegativity of Quadratic Forms on Intersections of Quadrics and Quadratic Maps”, Math. Notes, 84:2 (2008), 155–165
66.
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
67.
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
68.
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
69.
A. V. Arutyunov, “Controllability of nonlinear systems with constrained controls”, Differ. Equ., 42:11 (2006), 1515–1523
70.
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
71.
A. V. Arutyunov, E. V. Kruglova, “On the consistency of linear and quadratic systems”, Comput. Math. Math. Phys., 46:4 (2006), 537–540
72.
A. V. Arutyunov, “An implicit function theorem without a priori assumptions about normality”, Comput. Math. Math. Phys., 46:2 (2006), 195–205
73.
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
74.
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
75.
A. V. Arutyunov, “Implicit-Function Theorem on the Cone in a Neighborhood of an Irregular Point”, Math. Notes, 78:4 (2005), 573–576
76.
A. V. Arutyunov, “Covering of nonlinear maps on a cone in neighborhoods of irregular points”, Math. Notes, 77:4 (2005), 447–460
77.
A. V. Arutyunov, “On real quadratic forms annihilating an intersection of quadrics”, Russian Math. Surveys, 60:1 (2005), 157–158
78.
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
79.
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
80.
A. V. Arutyunov, N. G. Pavlova, “Topological properties of attainability sets of linear systems”, Differ. Equ., 40:11 (2004), 1645–1648
81.
A. V. Arutyunov, “Some elementary formulas of convex analysis”, Vladikavkaz. Mat. Zh., 6:4 (2004), 7–9
82.
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
83.
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
84.
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
85.
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
86.
A. V. Arutyunov, “The Pontryagin Maximum Principle and Sufficient Optimality Conditions for Nonlinear Problems”, Differ. Equ., 39:12 (2003), 1671–1679
87.
A. V. Arutyunov, R. B. Vinter, “A Finite-Dimensional Approximation Method in Optimal Control Theory”, Differ. Equ., 39:11 (2003), 1519–1528
88.
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
89.
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
90.
A. V. Arutyunov, Yu. S. Vereshchagina, “On Necessary Second-Order Conditions in Optimal Control Problems”, Differ. Equ., 38:11 (2002), 1531–1540
91.
A. V. Arutyunov, V. Jacimovic, “2-Normal Processes in Controlled Dynamical Systems”, Differ. Equ., 38:8 (2002), 1081–1094
92.
A. V. Arutyunov, “Positive Quadratic Forms on Intersections of Quadrics”, Math. Notes, 71:1 (2002), 25–33
93.
A. V. Arutyunov, “Necessary Extremum Conditions and an Inverse Function Theorem without a priori Normality Assumptions”, Proc. Steklov Inst. Math., 236 (2002), 25–36
94.
A. V. Arutyunov, A. F. Izmailov, “Checking the sign-definiteness of forms”, Comput. Math. Math. Phys., 42:6 (2002), 767–780
2001
95.
A. V. Arutyunov, “Milyutin's Theorem in Linear-Quadratic Optimal Control Problems”, Differ. Equ., 37:11 (2001), 1627–1630
96.
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
97.
A. V. Arutyunov, “Implicit function theorem as a realization of the Lagrange principle. Abnormal points”, Sb. Math., 191:1 (2000), 1–24
1999
98.
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
99.
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
100.
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
101.
A. V. Arutyunov, “Relaxation and perturbation of optimal control problem”, Proc. Steklov Inst. Math., 220 (1998), 23–30
1996
102.
A. V. Arutyunov, “On the theory of abnormal extremal problems with a finite-dimensional image”, Dokl. Akad. Nauk, 348:3 (1996), 295–298
103.
A. V. Arutyunov, “Second-order conditions in extremal problems with finite-dimensional range. 2-normal maps”, Izv. Math., 60:1 (1996), 39–65
1995
104.
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
105.
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
106.
A. V. Arutyunov, “On the theory of degenerate quadratic forms in the classical calculus of variations”, Izv. Math., 45:3 (1995), 433–476
1994
107.
A. V. Arutyunov, “Degenerate quadratic forms of the calculus of variations”, Dokl. Math., 48:3 (1994), 491–497
108.
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
109.
A. V. Arutyunov, “Sign-definiteness of quadratic forms of the calculus of variations with power degeneration”, Dokl. Math., 46:2 (1993), 337–342
1992
110.
A. V. Arutyunov, “Higher-order extremum conditions in abnormal minimization problems”, Siberian Math. J., 33:4 (1992), 557–565
111.
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
112.
A. V. Arutyunov, “Properties of quadratic maps in a Banach space”, Math. Notes, 50:4 (1991), 993–999
1992
113.
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
114.
A. V. Arutyunov, V. I. Blagodatskikh, “Maximum-principle for differential inclusions with space constraints”, Proc. Steklov Inst. Math., 200 (1993), 3–25
1991
115.
A. V. Arutyunov, “Higher-order conditions in abnormal extremal problems with equality-type constraints”, Dokl. Math., 42:3 (1991), 799–804
116.
A. V. Arutyunov, “On the theory of quadratic mappings in Banach spaces”, Dokl. Math., 42:2 (1991), 621–623
1990
117.
A. V. Arutyunov, “Necessary conditions for an extremum in an abnormal problem with equality constraints”, Russian Math. Surveys, 45:5 (1990), 223–224
1989
118.
A. V. Arutyunov, “On the theory of the maximum principle in optimal control problems with phase constraints”, Dokl. Math., 39:1 (1989), 1–4
119.
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
120.
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
121.
A. V. Arutyunov, M. D. Mardanov, “On the theory of optimal processes with delays”, Differ. Uravn., 22:8 (1986), 1291–1298
1985
122.
A. V. Arutyunov, “On necessary conditions for optimality in a problem with phase constraints”, Dokl. Akad. Nauk SSSR, 280:5 (1985), 1033–1037
1984
123.
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
124.
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
125.
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
126.
A. V. Arutyunov, “On a class of linear processes of time-optimality”, Differ. Uravn., 18:4 (1982), 555–560
1983
127.
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
128.
A. V. Arutyunov, N. T. Tynyanskii, “On second-order conditions in a time-optimal problem”, Dokl. Akad. Nauk SSSR, 261:3 (1981), 523–526
129.
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
130.
A. V. Arutyunov, “Convex properties of the legendre transform”, Math. Notes, 28:2 (1980), 591–595
1972
131.
A. V. Arutyunov, S. N. Banchila, L. P. Filippov, TVT, 10:3 (1972), 547–550
132.
A. V. Arutyunov, S. N. Banchila, L. P. Filippov, TVT, 10:2 (1972), 425–428
133.
A. V. Arutyunov, S. N. Banchila, TVT, 10:1 (1972), 190–192
1971
134.
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
135.
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
5.
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
6.
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
10.
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
31.
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
2025
