Magaril-Il'yaev Georgii Georgievich

Publications in Math-Net.Ru

1. Generalization of Peano and Carathéodory theorems for a boundary value problem
   
   Mat. Zametki, 117:2 (2025),  171–180
2. Local controllability and the boundary of the attainable set of a control system
   
   Mat. Sb., 216:3 (2025),  5–25
3. Schauder's fixed point theorem and Pontryagin maximum principle
   
   Izv. RAN. Ser. Mat., 88:6 (2024),  3–22
4. Controllability of an approximately defined control system
   
   Mat. Sb., 215:4 (2024),  3–29
5. Main recent research results of the staff of the Chair of General Problems of Control
   
   Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2024, no. 6,  64–71
6. 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
7. 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
8. Controllability and Second-Order Necessary Conditions for Local Infimum Trajectories in Optimal Control
   
   Trudy Mat. Inst. Steklova, 321 (2023),  7–30
9. Controllability of difference approximation for a control system with continuous time
   
   Mat. Sb., 213:12 (2022),  3–30
10. A Note on the Classical Implicit Function Theorem
    
    Mat. Zametki, 110:6 (2021),  911–915
11. Implicit Function. Controllability and Perturbation of Optimal Control Problems
    
    Mat. Zametki, 109:4 (2021),  483–499
12. Local controllability and optimality
    
    Mat. Sb., 212:7 (2021),  3–38
13. General Implicit Function Theorem for Close Mappings
    
    Trudy Mat. Inst. Steklova, 315 (2021),  7–18
14. Optimal Recovery of Pipe Temperature from Inaccurate Measurements
    
    Trudy Mat. Inst. Steklova, 312 (2021),  216–223
15. Gamkrelidze Convexification and Bogolyubov's Theorem
    
    Mat. Zametki, 107:4 (2020),  483–497
16. Local infimum and a family of maximum principles in optimal control
    
    Mat. Sb., 211:6 (2020),  3–39
17. 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
18. Optimal recovery of semi-group operators from inaccurate data
    
    Eurasian Math. J., 10:4 (2019),  75–84
19. Controllability and second-order necessary conditions for optimality
    
    Mat. Sb., 210:1 (2019),  3–26
20. Generalized Needles and Second-Order Conditions in Optimal Control
    
    Trudy Mat. Inst. Steklova, 304 (2019),  15–31
21. An Implicit Function Theorem for Inclusions Defined by Close Mappings
    
    Mat. Zametki, 103:4 (2018),  483–489
22. Relaxation and controllability in optimal control problems
    
    Mat. Sb., 208:5 (2017),  3–37
23. Exactness and optimality of methods for recovering functions from their spectrum
    
    Trudy Mat. Inst. Steklova, 293 (2016),  201–216
24. The Pontryagin maximum principle. Ab ovo usque ad mala
    
    Trudy Mat. Inst. Steklova, 291 (2015),  215–230
25. The best approximation of a set whose elements are known approximately
    
    Fundam. Prikl. Mat., 19:5 (2014),  127–141
26. Mix of controls and the Pontryagin maximum principle
    
    Fundam. Prikl. Mat., 19:4 (2014),  5–20
27. On the best methods for recovering derivatives in Sobolev classes
    
    Izv. RAN. Ser. Mat., 78:6 (2014),  83–102
28. On best harmonic synthesis of periodic functions
    
    Fundam. Prikl. Mat., 18:5 (2013),  155–174
29. Lagrange's principle in extremum problems with constraints
    
    Uspekhi Mat. Nauk, 68:3(411) (2013),  5–38
30. How Best to Recover a Function from Its Inaccurately Given Spectrum?
    
    Mat. Zametki, 92:1 (2012),  59–67
31. An Implicit-Function Theorem for Inclusions
    
    Mat. Zametki, 91:6 (2012),  813–818
32. Best recovery of the Laplace operator of a function from incomplete spectral data
    
    Mat. Sb., 203:4 (2012),  119–130
33. О минимуме максимума гладких функций
    
    Mat. Pros., Ser. 3, 15 (2011),  182–186
34. On Optimal Harmonic Synthesis from Inaccurate Spectral Data
    
    Funktsional. Anal. i Prilozhen., 44:3 (2010),  76–79
35. On the reconstruction of convolution-type operators from inaccurate information
    
    Trudy Mat. Inst. Steklova, 269 (2010),  181–192
36. Метод Ньютона и его приложения к решению уравнений и теории экстремума
    
    Mat. Pros., Ser. 3, 13 (2009),  80–103
37. Optimal recovery of the solution of the heat equation from inaccurate data
    
    Mat. Sb., 200:5 (2009),  37–54
38. Newton's Method, Differential Equations, and the Lagrangian Principle for Necessary Extremum Conditions
    
    Trudy Mat. Inst. Steklova, 262 (2008),  156–177
39. Пять сюжетов о творчестве Владимира Михайловича Тихомирова
    
    Mat. Pros., Ser. 3, 10 (2006),  8–22
40. Extremal problems for linear functionals on the Tchebycheff spaces
    
    Fundam. Prikl. Mat., 11:2 (2005),  87–100
41. The Lagrange principle for smooth problems with constraints on a cone
    
    Vladikavkaz. Mat. Zh., 7:4 (2005),  38–45
42. Optimal recovery of values of functions and their derivatives from inaccurate data on the Fourier transform
    
    Mat. Sb., 195:10 (2004),  67–82
43. A generalized theorem on an inverse function, and extremal problems with constraints
    
    Vladikavkaz. Mat. Zh., 6:4 (2004),  48–54
44. Optimal interpolation and the Lagrange principle
    
    Vladikavkaz. Mat. Zh., 6:4 (2004),  42–47
45. 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
46. Indefinite Knowledge about an Object and Accuracy of Its Recovery Methods
    
    Probl. Peredachi Inf., 39:1 (2003),  118–133
47. Optimal reconstruction of derivatives on Sobolev classes
    
    Vladikavkaz. Mat. Zh., 5:1 (2003),  39–47
48. Optimal recovery of functions and their derivatives from Fourier coefficients prescribed with an error
    
    Mat. Sb., 193:3 (2002),  79–100
49. Optimal reconstruction and the theory of extremum
    
    Dokl. Akad. Nauk, 379:2 (2001),  161–164
50. Extrema of linear functionals on finite-dimensional spaces
    
    Uspekhi Mat. Nauk, 55:6(336) (2000),  133–134
51. Kolmogorov-type inequalities for derivatives
    
    Mat. Sb., 188:12 (1997),  73–106
52. Exact values of widths of classes of functions in $L_2$
    
    Dokl. Akad. Nauk, 344:5 (1995),  583–585
53. Exact values of Bernstein widths of Sobolev classes of periodic functions
    
    Mat. Zametki, 58:1 (1995),  139–143
54. On best approximation by splines of function classes on the line
    
    Trudy Mat. Inst. Steklov., 194 (1992),  148–159
55. Mean dimension and widths of classes of functions on the line
    
    Dokl. Akad. Nauk SSSR, 318:1 (1991),  35–38
56. Optimal recovery of functionals based on inaccurate data
    
    Mat. Zametki, 50:6 (1991),  85–93
57. Mean dimension, widths, and optimal recovery of Sobolev classes of functions on the line
    
    Mat. Sb., 182:11 (1991),  1635–1656
58. On the synthesis of stabilization systems
    
    Avtomat. i Telemekh., 1990, no. 12,  66–74
59. Exact solutions of some approximation problems by means of positive operators
    
    Mat. Zametki, 48:3 (1990),  91–99
60. $\varphi$-mean diameters of classes of functions on the line
    
    Uspekhi Mat. Nauk, 45:2(272) (1990),  211–212
61. Trigonometric widths of Sobolev classes of functions on $\boldsymbol R^n$
    
    Trudy Mat. Inst. Steklov., 181 (1988),  147–155
62. On the problem of optimal recovery of functionals
    
    Uspekhi Mat. Nauk, 42:2(254) (1987),  237–238
63. On the approximations of Sobolev classes of functions on $\boldsymbol R^n$
    
    Trudy Mat. Inst. Steklov., 180 (1987),  154–155
64. Inequalities of Bernstein– Nikol'skii type and approximation of generalized Sobolev classes
    
    Trudy Mat. Inst. Steklov., 173 (1986),  190–204
65. A local-optimization method for control of dynamic systems
    
    Dokl. Akad. Nauk SSSR, 274:2 (1984),  273–275
66. Inequalities for derivatives, and duality
    
    Trudy Mat. Inst. Steklov., 161 (1983),  183–194
67. Generalized Sobolev classes and inequalities of Bernstein–Nikol'skii type
    
    Dokl. Akad. Nauk SSSR, 264:5 (1982),  1066–1069
68. Existence of extremal functions in inequalities for derivatives
    
    Mat. Zametki, 32:6 (1982),  823–834
69. 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
70. Intermediate derivatives
    
    Mat. Zametki, 25:1 (1979),  81–96
71. The implicit function theorem for Lipschitz maps
    
    Uspekhi Mat. Nauk, 33:1(199) (1978),  221–222


72. Online workshop on differential equations and function spaces, dedicated to the 80-th anniversary of D.Sc., professor Mikhail L'vovich Goldman
    
    Eurasian Math. J., 16:3 (2025),  102–104
73. From the editors of this issue
    
    Mat. Sb., 216:3 (2025),  4
74. Semen Samsonovich Kutateladze (02.10.1945–15.01.2025)
    
    Sibirsk. Mat. Zh., 66:5 (2025),  970–976
75. Mikhail Lvovich Goldman (13.04.1945–05.07.2025)
    
    Vladikavkaz. Mat. Zh., 27:3 (2025),  143–144
76. In memory of Semen Samsonovich Kutateladze (02.10.1945–15.01.2025)
    
    Vladikavkaz. Mat. Zh., 27:1 (2025),  154
77. About the life and work of S. B. Stechkin (1920–1995)
    
    Vladikavkaz. Mat. Zh., 23:4 (2021),  119–128
78. Osipenko Konstantin Yur'evich (on his 60th birthday)
    
    Vladikavkaz. Mat. Zh., 12:1 (2010),  68–70
79. Vladimir Mikhailovich Tikhomirov (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 61:1(367) (2006),  187–190
80. Vladimir M. Tikhomirov
    
    Mosc. Math. J., 5:1 (2005),  295
81. Vladimir Mikhaĭlovich Tikhomirov (on the occasion of his seventieth birthday)
    
    Vladikavkaz. Mat. Zh., 6:4 (2004),  3–6