E. R. Avakov, G. G. Magaril-Il'yaev, “Schauder's fixed point theorem and Pontryagin maximum principle”, Izv. RAN. Ser. Mat., 88:6 (2024), 3–22; Izv. Math., 88:6 (2024), 1013–1031
2.
E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability of an approximately defined control system”, Mat. Sb., 215:4 (2024), 3–29; Sb. Math., 215:4 (2024), 438–463
2023
3.
E. R. Avakov, G. G. Magaril-Il'yaev, “On the Continuous Dependence of a Solution of a Differential Equation on the Right-Hand Side and Boundary Conditions”, Mat. Zametki, 114:1 (2023), 3–17; Math. Notes, 114:1 (2023), 3–14
4.
G. G. Magaril-Il'yaev, E. O. Sivkova, “On the Best Recovery of a Family of Operators on the Manifold $\mathbb R^n\times \mathbb T^m$”, Trudy Mat. Inst. Steklova, 323 (2023), 196–203; Proc. Steklov Inst. Math., 323 (2023), 188–196
5.
E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability and Second-Order Necessary Conditions for Local Infimum Trajectories in Optimal Control”, Trudy Mat. Inst. Steklova, 321 (2023), 7–30; Proc. Steklov Inst. Math., 321 (2023), 1–23
2022
6.
E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability of difference approximation for a control system with continuous time”, Mat. Sb., 213:12 (2022), 3–30; Sb. Math., 213:12 (2022), 1620–1644
2021
7.
E. R. Avakov, G. G. Magaril-Il'yaev, “A Note on the Classical Implicit Function Theorem”, Mat. Zametki, 110:6 (2021), 911–915; Math. Notes, 110:6 (2021), 942–946
E. R. Avakov, G. G. Magaril-Il'yaev, “Implicit Function. Controllability and Perturbation of Optimal Control Problems”, Mat. Zametki, 109:4 (2021), 483–499; Math. Notes, 109:4 (2021), 503–516
E. R. Avakov, G. G. Magaril-Il'yaev, “General Implicit Function Theorem for Close Mappings”, Trudy Mat. Inst. Steklova, 315 (2021), 7–18; Proc. Steklov Inst. Math., 315 (2021), 1–12
G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “Optimal Recovery of Pipe Temperature from Inaccurate Measurements”, Trudy Mat. Inst. Steklova, 312 (2021), 216–223; Proc. Steklov Inst. Math., 312 (2021), 207–214
E. R. Avakov, G. G. Magaril-Il'yaev, “Gamkrelidze Convexification and Bogolyubov's Theorem”, Mat. Zametki, 107:4 (2020), 483–497; Math. Notes, 107:4 (2020), 539–551
E. R. Avakov, G. G. Magaril-Il'yaev, “Local infimum and a family of maximum principles in optimal control”, Mat. Sb., 211:6 (2020), 3–39; Sb. Math., 211:6 (2020), 750–785
E. V. Abramova, G. G. Magaril-Il'yaev, E. O. Sivkova, “Best recovery of the solution of the Dirichlet problem in a half-space from inaccurate data”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1711–1720; Comput. Math. Math. Phys., 60:10 (2020), 1656–1665
E. R. Avakov, G. G. Magaril-Il'yaev, “Controllability and second-order necessary conditions for optimality”, Mat. Sb., 210:1 (2019), 3–26; Sb. Math., 210:1 (2019), 1–23
E. R. Avakov, G. G. Magaril-Il'yaev, “Generalized Needles and Second-Order Conditions in Optimal Control”, Trudy Mat. Inst. Steklova, 304 (2019), 15–31; Proc. Steklov Inst. Math., 304 (2019), 8–25
E. R. Avakov, G. G. Magaril-Il'yaev, “An Implicit Function Theorem for Inclusions Defined by Close Mappings”, Mat. Zametki, 103:4 (2018), 483–489; Math. Notes, 103:4 (2018), 507–512
E. R. Avakov, G. G. Magaril-Il'yaev, “Relaxation and controllability in optimal control problems”, Mat. Sb., 208:5 (2017), 3–37; Sb. Math., 208:5 (2017), 585–619
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Exactness and optimality of methods for recovering functions from their spectrum”, Trudy Mat. Inst. Steklova, 293 (2016), 201–216; Proc. Steklov Inst. Math., 293 (2016), 194–208
G. G. Magaril-Il'yaev, “The Pontryagin maximum principle. Ab ovo usque ad mala”, Trudy Mat. Inst. Steklova, 291 (2015), 215–230; Proc. Steklov Inst. Math., 291 (2015), 203–218
G. G. Magaril-Il'yaev, K. Yu. Osipenko, E. O. Sivkova, “The best approximation of a set whose elements are known approximately”, Fundam. Prikl. Mat., 19:5 (2014), 127–141; J. Math. Sci., 218:5 (2016), 636–646
23.
E. R. Avakov, G. G. Magaril-Il'yaev, “Mix of controls and the Pontryagin maximum principle”, Fundam. Prikl. Mat., 19:4 (2014), 5–20; J. Math. Sci., 217:6 (2016), 672–682
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On the best methods for recovering derivatives in Sobolev classes”, Izv. RAN. Ser. Mat., 78:6 (2014), 83–102; Izv. Math., 78:6 (2014), 1138–1157
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On best harmonic synthesis of periodic functions”, Fundam. Prikl. Mat., 18:5 (2013), 155–174; J. Math. Sci., 209:1 (2015), 115–129
E. R. Avakov, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Lagrange's principle in extremum problems with constraints”, Uspekhi Mat. Nauk, 68:3(411) (2013), 5–38; Russian Math. Surveys, 68:3 (2013), 401–433
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “How Best to Recover a Function from Its Inaccurately Given Spectrum?”, Mat. Zametki, 92:1 (2012), 59–67; Math. Notes, 92:1 (2012), 51–58
E. R. Avakov, G. G. Magaril-Il'yaev, “An Implicit-Function Theorem for Inclusions”, Mat. Zametki, 91:6 (2012), 813–818; Math. Notes, 91:6 (2012), 764–769
G. G. Magaril-Il'yaev, E. O. Sivkova, “Best recovery of the Laplace operator of a function from incomplete spectral data”, Mat. Sb., 203:4 (2012), 119–130; Sb. Math., 203:4 (2012), 569–580
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “On the reconstruction of convolution-type operators from inaccurate information”, Trudy Mat. Inst. Steklova, 269 (2010), 181–192; Proc. Steklov Inst. Math., 269 (2010), 174–185
G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Метод Ньютона и его приложения к решению уравнений и теории экстремума”, Mat. Pros., Ser. 3, 13 (2009), 80–103
34.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of the solution of the heat equation from inaccurate data”, Mat. Sb., 200:5 (2009), 37–54; Sb. Math., 200:5 (2009), 665–682
G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Newton's Method, Differential Equations, and the Lagrangian Principle for Necessary Extremum Conditions”, Trudy Mat. Inst. Steklova, 262 (2008), 156–177; Proc. Steklov Inst. Math., 262 (2008), 149–169
G. G. Magaril-Il'yaev, “Пять сюжетов о творчестве Владимира Михайловича Тихомирова”, Mat. Pros., Ser. 3, 10 (2006), 8–22
2005
37.
V. B. Demidovich, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Extremal problems for linear functionals on the Tchebycheff spaces”, Fundam. Prikl. Mat., 11:2 (2005), 87–100; J. Math. Sci., 142:2 (2007), 1923–1932
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform”, Mat. Sb., 195:10 (2004), 67–82; Sb. Math., 195:10 (2004), 1461–1476
G. G. Magaril-Il'yaev, “A generalized theorem on an inverse function, and extremal problems with constraints”, Vladikavkaz. Mat. Zh., 6:4 (2004), 48–54
41.
G. G. Magaril-Il'yaev, “Optimal interpolation and the Lagrange principle”, Vladikavkaz. Mat. Zh., 6:4 (2004), 42–47
2003
42.
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal Recovery of Functions and Their Derivatives from Inaccurate Information about the Spectrum and Inequalities for Derivatives”, Funktsional. Anal. i Prilozhen., 37:3 (2003), 51–64; Funct. Anal. Appl., 37:3 (2003), 203–214
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Indefinite Knowledge about an Object and Accuracy of Its Recovery Methods”, Probl. Peredachi Inf., 39:1 (2003), 118–133; Problems Inform. Transmission, 39:1 (2003), 104–118
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of functions and their derivatives from Fourier coefficients
prescribed with an error”, Mat. Sb., 193:3 (2002), 79–100; Sb. Math., 193:3 (2002), 387–407
G. G. Magaril-Il'yaev, K. Yu. Osipenko, V. M. Tikhomirov, “Optimal reconstruction and the theory of extremum”, Dokl. Akad. Nauk, 379:2 (2001), 161–164; Dokl. Math., 64:1 (2001), 32–35
V. B. Demidovich, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Extrema of linear functionals on finite-dimensional spaces”, Uspekhi Mat. Nauk, 55:6(336) (2000), 133–134; Russian Math. Surveys, 55:6 (2000), 1143–1145
G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Kolmogorov-type inequalities for derivatives”, Mat. Sb., 188:12 (1997), 73–106; Sb. Math., 188:12 (1997), 1799–1832
A. P. Buslaev, G. G. Magaril-Il'yaev, Nguyen Thien Nam, “Exact values of Bernstein widths of Sobolev classes of periodic functions”, Mat. Zametki, 58:1 (1995), 139–143; Math. Notes, 58:1 (1995), 770–774
G. G. Magaril-Il'yaev, “On best approximation by splines of function classes on the line”, Trudy Mat. Inst. Steklov., 194 (1992), 148–159; Proc. Steklov Inst. Math., 194 (1993), 153–164
G. G. Magaril-Il'yaev, “Mean dimension and widths of classes of functions on the line”, Dokl. Akad. Nauk SSSR, 318:1 (1991), 35–38; Dokl. Math., 43:3 (1991), 661–664
G. G. Magaril-Il'yaev, K. Yu. Osipenko, “Optimal recovery of functionals based on inaccurate data”, Mat. Zametki, 50:6 (1991), 85–93; Math. Notes, 50:6 (1991), 1274–1279
G. G. Magaril-Il'yaev, “Mean dimension, widths, and optimal recovery of Sobolev classes of functions on the line”, Mat. Sb., 182:11 (1991), 1635–1656; Math. USSR-Sb., 74:2 (1993), 381–403
B. S. Darhovsky, G. G. Magaril-Il'yaev, “On the synthesis of stabilization systems”, Avtomat. i Telemekh., 1990, no. 12, 66–74; Autom. Remote Control, 51:12 (1990), 1658–1665
56.
G. G. Magaril-Il'yaev, “Exact solutions of some approximation problems by means of positive operators”, Mat. Zametki, 48:3 (1990), 91–99; Math. Notes, 48:3 (1990), 938–944
57.
G. G. Magaril-Il'yaev, “$\varphi$-mean diameters of classes of functions on the line”, Uspekhi Mat. Nauk, 45:2(272) (1990), 211–212; Russian Math. Surveys, 45:2 (1990), 218–219
G. G. Magaril-Il'yaev, Chan Tkhe Le, “On the problem of optimal recovery of functionals”, Uspekhi Mat. Nauk, 42:2(254) (1987), 237–238; Russian Math. Surveys, 42:2 (1987), 289–290
G. G. Magaril-Il'yaev, “On the approximations of Sobolev classes of functions on $\boldsymbol R^n$”, Trudy Mat. Inst. Steklov., 180 (1987), 154–155; Proc. Steklov Inst. Math., 180 (1989), 180–181
1986
61.
G. G. Magaril-Il'yaev, “Inequalities of Bernstein– Nikol'skii type and approximation of generalized Sobolev classes”, Trudy Mat. Inst. Steklov., 173 (1986), 190–204; Proc. Steklov Inst. Math., 173 (1987), 205–220
B. S. Darhovsky, G. G. Magaril-Il'yaev, “A local-optimization method for control of dynamic systems”, Dokl. Akad. Nauk SSSR, 274:2 (1984), 273–275
1983
63.
G. G. Magaril-Il'yaev, “Inequalities for derivatives, and duality”, Trudy Mat. Inst. Steklov., 161 (1983), 183–194; Proc. Steklov Inst. Math., 161 (1984), 199–212
G. G. Magaril-Il'yaev, “Generalized Sobolev classes and inequalities of Bernstein–Nikol'skii type”, Dokl. Akad. Nauk SSSR, 264:5 (1982), 1066–1069
65.
A. P. Buslaev, G. G. Magaril-Il'yaev, V. M. Tikhomirov, “Existence of extremal functions in inequalities for derivatives”, Mat. Zametki, 32:6 (1982), 823–834; Math. Notes, 32:6 (1982), 898–904
Đinh Dung, G. G. Magaril-Il'yaev, “Problems of Bernstein and Favard type and the mean $\varepsilon$-dimension of some classes of functions”, Dokl. Akad. Nauk SSSR, 249:4 (1979), 783–786
G. G. Magaril-Il'yaev, “The implicit function theorem for Lipschitz maps”, Uspekhi Mat. Nauk, 33:1(199) (1978), 221–222; Russian Math. Surveys, 33:1 (1978), 209–210
V. M. Tikhomirov, G. G. Magaril-Ilyaev, “About the life and work of S. B. Stechkin (1920–1995)”, Vladikavkaz. Mat. Zh., 23:4 (2021), 119–128
2010
70.
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
2006
71.
V. I. Arnol'd, L. R. Volevich, A. A. Gonchar, S. S. Demidov, M. I. Zelikin, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, A. V. Mikhalev, S. P. Novikov, I. V. Yaschenko, “Vladimir Mikhailovich Tikhomirov (on his 70th birthday)”, Uspekhi Mat. Nauk, 61:1(367) (2006), 187–190; Russian Math. Surveys, 61:1 (2006), 189–192
2005
72.
V. I. Arnol'd, A. S. Demidov, Yu. S. Ilyashenko, G. G. Magaril-Il'yaev, E. F. Mishchenko, K. Yu. Osipenko, A. B. Sossinski, M. A. Tsfasman, V. A. Uspenskii, M. N. Vyalyi, I. V. Yaschenko, M. I. Zelikin, “Vladimir M. Tikhomirov”, Mosc. Math. J., 5:1 (2005), 295
2004
73.
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
Maximum principle for infimum in optimal control problems E. R. Avakov, G. G. Magaril-Il'yaev International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin December 14, 2018 13:15
Local controllability and optimality E. R. Avakov, G. G. Magaril-Il'yaev International Conference "Mathematical Theory of Optimal Control"
dedicated to the 90th birthday of Academician R. V. Gamkrelidze June 2, 2017 16:05