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Publications in Math-Net.Ru |
Citations |
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2025 |
| 1. |
V. I. Berdyshev, “Stream of moving objects along a geodesic arc in $\mathbb{R}^2,$ $\mathbb{R}^3$ and an observer”, Trudy Inst. Mat. i Mekh. UrO RAN, 31:3 (2025), 64–76 |
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2024 |
| 2. |
V. I. Berdyshev, “Methods for tracking an object moving in $\mathbb{R}^3$ under conditions of its counteraction”, Dokl. RAN. Math. Inf. Proc. Upr., 517 (2024), 120–124 ; Dokl. Math., 109:3 (2024), 291–294 |
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| 3. |
V. I. Berdyshev, “Observation of an object opposed to the observer in the space $\mathbb{R}^2$”, Trudy Inst. Mat. i Mekh. UrO RAN, 30:3 (2024), 45–52 |
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2023 |
| 4. |
V. I. Berdyshev, “An observer moving along a cone in $\mathbb{R}^3$ under conditions of opposition from the object”, Dokl. RAN. Math. Inf. Proc. Upr., 513 (2023), 15–20 ; Dokl. Math., 108:2 (2023), 352–356 |
| 5. |
V. I. Berdyshev, “The motion of an observer over a cone in $\mathbb{R}^3$ under counteraction from an object”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:4 (2023), 49–54 |
| 6. |
V. I. Berdyshev, “The motion in $\mathbb{R}^3$ of an observer under threat from an object”, Trudy Inst. Mat. i Mekh. UrO RAN, 29:2 (2023), 23–26 |
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2022 |
| 7. |
V. I. Berdyshev, “Trajectory of an observer tracking object motion around convex obstacles in $\mathbb{R}^2$ and $\mathbb{R}^3$”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 100–104 ; Dokl. Math., 106:1 (2022), 298–301 |
| 8. |
V. I. Berdyshev, “An observer and a pair of objects enveloping a set of convex regions”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 64–70 |
| 9. |
V. I. Berdyshev, “An object bypassing convex sets and an observer's trajectory in two-dimensional space”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:2 (2022), 66–73 |
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2021 |
| 10. |
V. I. Berdyshev, “Trajectory of an observer tracking the motion of an object around a convex set in $\mathbb{R}^3$”, Dokl. RAN. Math. Inf. Proc. Upr., 501 (2021), 95–97 ; Dokl. Math., 104:3 (2021), 399–401 |
| 11. |
V. I. Berdyshev, “Optimal trajectory of an observer tracking the motion of an object equipped with a striking device”, Dokl. RAN. Math. Inf. Proc. Upr., 499 (2021), 73–77 ; Dokl. Math., 104:1 (2021), 221–224 |
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| 12. |
V. I. Berdyshev, “An Object with a Striking Device and a Hostile Observer in Three-Dimensional Space”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021), 49–58 ; Proc. Steklov Inst. Math., 317, suppl. 1 (2022), S27–S36 |
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2020 |
| 13. |
V. I. Berdyshev, “Deviation of an object with a striking device from a visibility area of an observer in $\mathbb{R}^3$”, Dokl. RAN. Math. Inf. Proc. Upr., 494 (2020), 93–96 ; Dokl. Math., 102:2 (2020), 433–435 |
1
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| 14. |
V. I. Berdyshev, “Problem of safely tracking an object avoiding observation in $\mathbb{R}^2$”, Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020), 86–89 ; Dokl. Math., 102:1 (2020), 334–336 |
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| 15. |
V. V. Arestov, V. I. Berdyshev, M. V. Deikalova, S. V. Konyagin, D. S. Telyakovskii, “On the International Workshop-Conference on Function Theory Dedicated to the Centenary of the Birth of S.B. Stechkin”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020), 290–299 |
1
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| 16. |
V. I. Berdyshev, “An object moving in $\mathbb R^2$ with a high-speed destructive miniobject and an unfriendly solid observer”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:4 (2020), 76–82 |
| 17. |
V. I. Berdyshev, V. B. Kostousov, “A Trajectory Minimizing the Exposure of a Moving Object”, Trudy Inst. Mat. i Mekh. UrO RAN, 26:1 (2020), 27–38 ; Proc. Steklov Inst. Math., 313, suppl. 1 (2021), S21–S32 |
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2018 |
| 18. |
V. I. Berdyshev, V. B. Kostousov, “Extremal problems of navigation by geophysical fields”, Eurasian Journal of Mathematical and Computer Applications, 6:2 (2018), 4–18 |
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| 19. |
V. I. Berdyshev, “Characterization of optimal trajectories in $\mathbb {R}^3$”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018), 40–45 ; Proc. Steklov Inst. Math., 305, suppl. 1 (2019), S10–S15 |
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| 20. |
V. I. Berdyshev, V. B. Kostousov, A. A. Popov, “Optimal trajectory in $\mathbb{R}^2$ under observation”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:1 (2018), 40–52 ; Proc. Steklov Inst. Math., 304, suppl. 1 (2019), S31–S43 |
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2016 |
| 21. |
V. I. Berdyshev, “Moving object in $\mathbb{R}^2$ and group of observers”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:4 (2016), 87–93 ; Proc. Steklov Inst. Math., 300, suppl. 1 (2018), S49–S55 |
1
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| 22. |
V. I. Berdyshev, “A trajectory in $\mathbb {R}^3$ concealed from observers”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016), 47–54 ; Proc. Steklov Inst. Math., 297, suppl. 1 (2017), S27–S34 |
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2015 |
| 23. |
V. I. Berdyshev, “A moving object and observers in $\mathbb R^2$ with piecewise smooth shading set”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015), 95–101 ; Proc. Steklov Inst. Math., 296, suppl. 1 (2017), S95–S101 |
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| 24. |
V. I. Berdyshev, “On the problem of tracking a moving object by observers”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:1 (2015), 46–55 ; Proc. Steklov Inst. Math., 289, suppl. 1 (2015), S54–S63 |
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2014 |
| 25. |
V. I. Berdyshev, “Linear approximation of vector functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014), 38–43 ; Proc. Steklov Inst. Math., 288, suppl. 1 (2015), S40–S45 |
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2013 |
| 26. |
V. I. Berdyshev, “Differentiation of the concealment function in the case of a convex occluding set”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:2 (2013), 79–84 ; Proc. Steklov Inst. Math., 284, suppl. 1 (2014), S59–S64 |
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2012 |
| 27. |
V. I. Berdyshev, “Concealment characteristics for a moving object”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012), 110–119 |
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2011 |
| 28. |
V. V. Arestov, V. I. Berdyshev, N. I. Chernykh, T. V. Demina, N. N. Kholschevnikova, S. V. Konyagin, Yu. N. Subbotin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Yudin, “Exposition of the lectures by S. B. Stechkin on approximation theory”, Eurasian Math. J., 2:4 (2011), 5–155 |
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| 29. |
V. I. Berdyshev, “Object and observer: A surveillance problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011), 7–19 ; Proc. Steklov Inst. Math., 276, suppl. 1 (2012), S35–S47 |
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2010 |
| 30. |
V. I. Berdyshev, “Moving object and observer in a Banach space”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010), 87–92 ; Proc. Steklov Inst. Math., 273, suppl. 1 (2011), S68–S73 |
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2009 |
| 31. |
V. I. Berdyshev, “Visibility characteristic of a moving point”, Dokl. Akad. Nauk, 424:5 (2009), 588–590 ; Dokl. Math., 79:1 (2009), 94–96 |
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| 32. |
V. I. Berdyshev, “Object visibility for a group of observers with inaccurately given coordinates”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009), 44–51 ; Proc. Steklov Inst. Math., 269, suppl. 1 (2010), S40–S47 |
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| 33. |
V. I. Berdyshev, “Object visibility for an observer with inaccurately given coordinates”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009), 21–28 ; Proc. Steklov Inst. Math., 268, suppl. 1 (2010), S15–S22 |
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2008 |
| 34. |
V. I. Berdyshev, “Two methods of characterizing the visibility of a moving point”, Trudy Inst. Mat. i Mekh. UrO RAN, 14:3 (2008), 69–81 ; Proc. Steklov Inst. Math., 264, suppl. 1 (2009), S72–S86 |
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2005 |
| 35. |
V. I. Berdyshev, “Determination of the coordinates and orientation of an unmanned airborne vehicle from a geophysical field”, Zh. Vychisl. Mat. Mat. Fiz., 45:6 (2005), 954–965 ; Comput. Math. Math. Phys., 45:6 (2005), 918–929 |
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2003 |
| 36. |
V. I. Berdyshev, “Navigation by means of the field of altitudes and its fragment”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:1 (2003), 26–37 ; Proc. Steklov Inst. Math., 2003no. , suppl. 1, S24–S36 |
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2002 |
| 37. |
V. I. Berdyshev, “The best trajectory in the navigation problem over a geophysical field”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002), 1144–1150 ; Comput. Math. Math. Phys., 42:8 (2002), 1101–1107 |
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2000 |
| 38. |
V. I. Berdyshev, “Trajectory of best navigation”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:2 (2000), 307–312 ; Proc. Steklov Inst. Math., 2000no. , suppl. 2, S16–S21 |
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| 39. |
V. I. Berdyshev, “Differentiation of navigation error with respect to an approximating function and a geophysical field fragment”, Zh. Vychisl. Mat. Mat. Fiz., 40:7 (2000), 1003–1011 ; Comput. Math. Math. Phys., 40:7 (2000), 961–969 |
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1997 |
| 40. |
V. I. Berdyshev, “Differentiation of Location Error”, Trudy Mat. Inst. Steklova, 219 (1997), 74–79 ; Proc. Steklov Inst. Math., 219 (1997), 66–72 |
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1996 |
| 41. |
V. I. Berdyshev, “Generalized polynomial approximation providing the best reference”, Mat. Zametki, 60:5 (1996), 658–669 ; Math. Notes, 60:5 (1996), 495–502 |
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1992 |
| 42. |
V. I. Berdyshev, “Polynomial approximation related to navigation over geodesic
fields”, Dokl. Akad. Nauk, 325:6 (1992), 1099–1102 ; Dokl. Math., 46:1 (1993), 157–160 |
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1982 |
| 43. |
V. I. Berdyshev, “The metric projection onto the class $H(\Omega)$”, Dokl. Akad. Nauk SSSR, 266:4 (1982), 777–779 |
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1981 |
| 44. |
V. I. Berdyshev, “Variation of the norms in the problem of best approximation”, Mat. Zametki, 29:2 (1981), 181–196 ; Math. Notes, 29:2 (1981), 95–103 |
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1980 |
| 45. |
V. I. Berdyshev, “Continuity of a multivalued mapping connected with the problem of minimizing a functional”, Izv. Akad. Nauk SSSR Ser. Mat., 44:3 (1980), 483–509 ; Math. USSR-Izv., 16:3 (1981), 431–456 |
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| 46. |
V. I. Berdyshev, “Equivalence of uniform continuity of the metric projection and the $\nu$-projection”, Mat. Zametki, 28:4 (1980), 571–582 ; Math. Notes, 28:4 (1980), 745–751 |
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1978 |
| 47. |
V. I. Berdyshev, “The continuity of multimappings connected with minimization of convex functionals”, Dokl. Akad. Nauk SSSR, 243:3 (1978), 561–564 |
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1977 |
| 48. |
V. I. Berdyshev, “Stability of a minimization problem under perturbation of the set of admissible elements”, Mat. Sb. (N.S.), 103(145):4(8) (1977), 467–479 ; Math. USSR-Sb., 32:4 (1977), 401–412 |
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1976 |
| 49. |
V. I. Berdyshev, “Непрерывная зависимость элемента, реализующего минимум выпуклого функционала, от множества допустимых элементов”, Mat. Zametki, 19:4 (1976), 501–512 |
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1975 |
| 50. |
V. I. Berdyshev, “Metric projection onto finite-dimensional subspaces of $\mathrm{C}$ and $\mathrm{L}$”, Mat. Zametki, 18:4 (1975), 473–488 ; Math. Notes, 18:4 (1975), 871–879 |
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| 51. |
V. I. Berdyshev, “Spaces with a uniformly continuous metric projection”, Mat. Zametki, 17:1 (1975), 3–12 ; Math. Notes, 17:1 (1975), 3–8 |
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1974 |
| 52. |
V. I. Berdyshev, “Operator of best approximation on finite-dimensional subspaces”, Mat. Zametki, 16:3 (1974), 501–511 ; Math. Notes, 16:3 (1974), 888–893 |
1
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| 53. |
V. I. Berdyshev, “Estimate of the modulus of continuity of the operator grad F”, Mat. Zametki, 16:2 (1974), 349–360 ; Math. Notes, 16:2 (1974), 793–800 |
1
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| 54. |
V. I. Berdyshev, “On the modulus of continuity of an operator of best approximation”, Mat. Zametki, 15:5 (1974), 797–808 ; Math. Notes, 15:5 (1974), 478–484 |
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1971 |
| 55. |
V. I. Berdyshev, “Best approximations in $L_[0,infty)$ of the differentiation operator”, Mat. Zametki, 9:5 (1971), 477–481 ; Math. Notes, 9:5 (1971), 275–277 |
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1970 |
| 56. |
V. I. Berdyshev, “Influence of geometric properties of space on the convergence of Cauchy's method in the best-approximation problem”, Mat. Zametki, 8:3 (1970), 329–338 ; Math. Notes, 8:3 (1970), 657–662 |
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1968 |
| 57. |
V. I. Berdyshev, “A relation between Jensen's inequality and a geometrical problem”, Mat. Zametki, 3:3 (1968), 327–338 ; Math. Notes, 3:3 (1968), 206–213 |
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1967 |
| 58. |
V. I. Berdyshev, “Jackson's theorem in $L_p$”, Trudy Mat. Inst. Steklov., 88 (1967), 3–16 ; Proc. Steklov Inst. Math., 88 (1967), 1–14 |
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1965 |
| 59. |
V. I. Berdyshev, “The approximation in mean of periodic functions by Fourier sums”, Izv. Akad. Nauk SSSR Ser. Mat., 29:3 (1965), 505–526 |
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2022 |
| 60. |
V. V. Arestov, V. I. Berdyshev, A. G. Babenko, M. V. Deikalova, “On S. B. Stechkin's International Workshop-Conference on Function Theory in Memory of Corresponding Member of RAS Y. N. Subbotin and Professor S. A. Telyakovskii”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 277–285 |
| 61. |
V. I. Berdyshev, O. V. Besov, B. S. Kashin, S. V. Konyagin, Yu. V. Malykhin, K. I. Oskolkov, A. S. Telyakovskii, D. S. Telyakovskii, V. N. Temlyakov, N. N. Kholshchevnikova, “Sergei Aleksandrovich Telyakovskii (A Tribute to His Memory)”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 17–22 ; Proc. Steklov Inst. Math., 319, suppl. 1 (2022), S7–S11 |
| 62. |
R. R. Akopyan, N. Yu. Antonov, V. V. Arestov, A. G. Babenko, N. V. Baidakova, V. I. Berdyshev, V. V. Vasin, S. I. Novikov, N. L. Patsko, A. G. Chentsov, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (A Tribute to His Memory)”, Trudy Inst. Mat. i Mekh. UrO RAN, 28:4 (2022), 9–16 ; Proc. Steklov Inst. Math., 319, suppl. 1 (2022), S1–S6 |
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2021 |
| 63. |
V. V. Arestov, V. I. Berdyshev, A. G. Babenko, Yu. S. Volkov, M. V. Deikalova, “International S.B. Stechkin's Workshop-Conference on Function Theory dedicated to the 85th anniversary of Yu.N. Subbotin and N.I. Chernykh”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 93–108 |
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2018 |
| 64. |
Vitalii I. Berdyshev, Nikolai I. Chernykh, Alexander G. Babenko, Roman R. Akopyan, “On the 75th birthday of professor Vitalii Vladimirovich Arestov”, Ural Math. J., 4:2 (2018), 3–5 |
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2017 |
| 65. |
Vitalii V. Arestov, Vitalii I. Berdyshev, “The 42nd International S.B. Stechkin's Workshop-Conference on function theory”, Ural Math. J., 3:2 (2017), 3–5 |
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2015 |
| 66. |
V. I. Berdyshev, “A Letter to the Editor”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015), 316 |
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2014 |
| 67. |
V. I. Berdyshev, V. V. Vasin, S. V. Matveev, A. A. Makhnev, Yu. N. Subbotin, N. N. Subbotina, V. N. Ushakov, M. Yu. Khachai, A. G. Chentsov, “Ivan Ivanovich Eremin”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:2 (2014), 5–12 ; Proc. Steklov Inst. Math., 289, suppl. 1 (2015), S1–S8 |
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2013 |
| 68. |
V. I. Berdyshev, Yu. F. Dolgii, A. F. Kleimenov, A. B. Kurzhanskii, V. I. Maksimov, Yu. S. Osipov, V. P. Prokop'ev, V. E. Tret'yakov, A. E. Shneider, “On the 90th birthday of Sergei Nikanorovich Shimanov”, Trudy Inst. Mat. i Mekh. UrO RAN, 19:1 (2013), 5–11 |
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2011 |
| 69. |
N. N. Krasovskii, I. I. Eremin, A. M. Il'in, A. V. Kryazhimskii, A. B. Kurzhanskii, V. I. Berdyshev, V. V. Vasin, A. A. Makhnev, S. V. Matveev, Yu. N. Subbotin, A. G. Chentsov, V. N. Ushakov, V. V. Kabanov, V. I. Maksimov, “To the 75th anniversary of academician of Russian Academy of Sciences Yu. S. Osipov”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011), 5–6 ; Proc. Steklov Inst. Math., 276, suppl. 1 (2012), S1–S3 |
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2009 |
| 70. |
V. I. Berdyshev, M. I. Gusev, N. N. Krasovskii, Yu. S. Osipov, V. N. Ushakov, A. G. Chentsov, “Aleksandr Borisovich Kurzhanskii (on the occasion of his 70th birthday)”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:4 (2009), 5–9 ; Proc. Steklov Inst. Math., 269, suppl. 1 (2010), S1–S5 |
1
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| 71. |
V. I. Berdyshev, S. V. Emel'yanov, A. B. Kurzhanskii, E. F. Mishchenko, Yu. S. Osipov, “Nikolai Nikolaevich Krasovskii (on the occasion of his 85th birthday)”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009), 5–20 ; Proc. Steklov Inst. Math., 268, suppl. 1 (2010), S1–S14 |
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2008 |
| 72. |
V. I. Berdyshev, V. A. Kaminsky, S. V. Konyagin, B. P. Osilenker, M. V. Samokhin, S. A. Telyakovskii, I. G. Tsar'kov, V. A. Shmatkov, “Alexandr L'vovich Garkavi (obituary)”, Uspekhi Mat. Nauk, 63:3(381) (2008), 147–148 ; Russian Math. Surveys, 63:3 (2008), 547–549 |
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2007 |
| 73. |
V. V. Arestov, V. I. Berdyshev, O. V. Besov, N. N. Krasovskii, S. M. Nikol'skii, S. I. Novikov, Yu. S. Osipov, S. A. Telyakovskii, N. I. Chernykh, V. T. Shevaldin, “Yurii Nikolaevich Subbotin (on his 70th birthday)”, Uspekhi Mat. Nauk, 62:2(374) (2007), 187–190 ; Russian Math. Surveys, 62:2 (2007), 403–406 |
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| 74. |
V. I. Berdyshev, V. V. Vasin, A. A. Makhnev, Yu. N. Subbotin, “On the collaboration of Siberian and Ural mathematicians”, Sib. Èlektron. Mat. Izv., 4 (2007), 22–27 |
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2006 |
| 75. |
V. I. Berdyshev, N. N. Krasovskii, A. B. Kurzhanskii, E. F. Mishchenko, “Yurii Sergeevich Osipov (on the occasion of his 70th birthday)”, Trudy Inst. Mat. i Mekh. UrO RAN, 12:1 (2006), 3–5 ; Proc. Steklov Inst. Math., 253, suppl. 1 (2006), S1–S3 |
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2004 |
| 76. |
V. I. Berdyshev, A. B. Kurzhanskii, E. F. Mishchenko, Yu. S. Osipov, V. V. Rumyantsev, “Nikolai Nikolaevich Krasovskii (on the occasion of his 80th birthday)”, Trudy Inst. Mat. i Mekh. UrO RAN, 10:2 (2004), 3–19 ; Proc. Steklov Inst. Math., 2004no. , suppl. 2, S1–S19 |
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2003 |
| 77. |
Yu. S. Osipov, V. I. Berdyshev, A. M. Il'in, A. I. Korotkii, V. V. Samofalov, S. S. Titov, O. N. Ul'yanov, O. B. Khairullina, “Anatolii Fedorovich Sidorov (1933–1999)”, Trudy Inst. Mat. i Mekh. UrO RAN, 9:2 (2003), 3–9 ; Proc. Steklov Inst. Math., 2003no. , suppl. 2, S1–S7 |
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1996 |
| 78. |
V. V. Arestov, V. I. Berdyshev, Yu. N. Subbotin, N. I. Chernykh, “S. B. Stechkin and approximation theory”, Trudy Inst. Mat. i Mekh. UrO RAN, 4 (1996), 3–16 |
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