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Berdyshev, Vitalii Ivanovich

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Total publications: 60
Scientific articles: 45
Presentations: 4

Number of views:
This page:4689
Abstract pages:13067
Full texts:4967
References:1093
Member of the Russian Academy of Sciences
Professor
Doctor of physico-mathematical sciences (1988)
Birth date: 27.01.1939
E-mail: ,
Website: http://berdyshev.uran.ru/

http://www.mathnet.ru/eng/person19721
List of publications on Google Scholar
https://zbmath.org/authors/?q=ai:berdyshev.vitalii-ivanovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/199207
Full list of publications: http://berdyshev.uran.ru/Pub.htm

Publications in Math-Net.Ru
2021
1. V. I. Berdyshev, “An object with a destructive device and an unfriendly observer in three-dimensional space”, Trudy Inst. Mat. i Mekh. UrO RAN, 27:2 (2021),  49–58  mathnet  elib
2020
2. 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  mathnet  mathscinet  elib
3. 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  mathnet  elib
4. 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  mathnet  elib
2018
5. 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  mathnet  isi  scopus
6. V. I. Berdyshev, “Characterization of optimal trajectories in $\mathbb {R}^3$”, Trudy Inst. Mat. i Mekh. UrO RAN, 24:2 (2018),  40–45  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 305, suppl. 1 (2019), S10–S15  isi  scopus
7. 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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 304, suppl. 1 (2019), S31–S43  isi  scopus
2016
8. 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 300, suppl. 1 (2018), 49–55  isi  scopus
9. V. I. Berdyshev, “A trajectory in $\mathbb {R}^3$ concealed from observers”, Trudy Inst. Mat. i Mekh. UrO RAN, 22:2 (2016),  47–54  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 27–34  isi  scopus
2015
10. 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 296, suppl. 1 (2017), 95–101  isi
11. 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 54–63  isi  scopus
2014
12. V. I. Berdyshev, “Linear approximation of vector functions”, Trudy Inst. Mat. i Mekh. UrO RAN, 20:4 (2014),  38–43  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 288, suppl. 1 (2015), 40–45  isi  scopus
2013
13. 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 284, suppl. 1 (2014), 59–64  isi  scopus
2012
14. V. I. Berdyshev, “Concealment characteristics for a moving object”, Trudy Inst. Mat. i Mekh. UrO RAN, 18:4 (2012),  110–119  mathnet  elib
2011
15. 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  mathnet  mathscinet  zmath
16. V. I. Berdyshev, “Object and observer: A surveillance problem”, Trudy Inst. Mat. i Mekh. UrO RAN, 17:2 (2011),  7–19  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S35–S47  isi  scopus
2010
17. V. I. Berdyshev, “Moving object and observer in a Banach space”, Trudy Inst. Mat. i Mekh. UrO RAN, 16:4 (2010),  87–92  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S68–S73  isi  scopus
2009
18. V. I. Berdyshev, “Visibility characteristic of a moving point”, Dokl. Akad. Nauk, 424:5 (2009),  588–590  mathnet  mathscinet; Dokl. Math., 79:1 (2009), 94–96  isi  scopus
19. 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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S40–S47  scopus
20. V. I. Berdyshev, “Object visibility for an observer with inaccurately given coordinates”, Trudy Inst. Mat. i Mekh. UrO RAN, 15:3 (2009),  21–28  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S15–S22  isi  scopus
2008
21. 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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 264, suppl. 1 (2009), S72–S86  isi  scopus
2005
22. 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  mathnet  mathscinet; Comput. Math. Math. Phys., 45:6 (2005), 918–929
2003
23. 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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 1, S24–S36
2002
24. V. I. Berdyshev, “The best trajectory in the navigation problem over a geophysical field”, Zh. Vychisl. Mat. Mat. Fiz., 42:8 (2002),  1144–1150  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 42:8 (2002), 1101–1107
2000
25. V. I. Berdyshev, “Trajectory of best navigation”, Trudy Inst. Mat. i Mekh. UrO RAN, 6:2 (2000),  307–312  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2000no. , suppl. 2, S16–S21
26. 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  mathnet  mathscinet  zmath; Comput. Math. Math. Phys., 40:7 (2000), 961–969
1997
27. V. I. Berdyshev, “Differentiation of Location Error”, Trudy MIAN, 219 (1997),  74–79  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 219 (1997), 66–72
1996
28. V. I. Berdyshev, “Generalized polynomial approximation providing the best reference”, Mat. Zametki, 60:5 (1996),  658–669  mathnet  mathscinet  zmath; Math. Notes, 60:5 (1996), 495–502  isi
1992
29. V. I. Berdyshev, “Polynomial approximation related to navigation over geodesic fields”, Dokl. Akad. Nauk, 325:6 (1992),  1099–1102  mathnet  mathscinet  zmath; Dokl. Math., 46:1 (1993), 157–160
1982
30. V. I. Berdyshev, “The metric projection onto the class $H(\Omega)$”, Dokl. Akad. Nauk SSSR, 266:4 (1982),  777–779  mathnet  mathscinet  zmath
1981
31. V. I. Berdyshev, “Variation of the norms in the problem of best approximation”, Mat. Zametki, 29:2 (1981),  181–196  mathnet  mathscinet  zmath; Math. Notes, 29:2 (1981), 95–103  isi
1980
32. 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  mathnet  mathscinet  zmath; Math. USSR-Izv., 16:3 (1981), 431–456  isi
33. V. I. Berdyshev, “Equivalence of uniform continuity of the metric projection and the $\nu$-projection”, Mat. Zametki, 28:4 (1980),  571–582  mathnet  mathscinet  zmath; Math. Notes, 28:4 (1980), 745–751  isi
1978
34. V. I. Berdyshev, “The continuity of multimappings connected with minimization of convex functionals”, Dokl. Akad. Nauk SSSR, 243:3 (1978),  561–564  mathnet  mathscinet  zmath
1977
35. 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  mathnet  mathscinet  zmath; Math. USSR-Sb., 32:4 (1977), 401–412  isi
1976
36. V. I. Berdyshev, “Непрерывная зависимость элемента, реализующего минимум выпуклого функционала, от множества допустимых элементов”, Mat. Zametki, 19:4 (1976),  501–512  mathnet  zmath
1975
37. V. I. Berdyshev, “Metric projection onto finite-dimensional subspaces of $\mathrm{C}$ and $\mathrm{L}$”, Mat. Zametki, 18:4 (1975),  473–488  mathnet  mathscinet  zmath; Math. Notes, 18:4 (1975), 871–879
38. V. I. Berdyshev, “Spaces with a uniformly continuous metric projection”, Mat. Zametki, 17:1 (1975),  3–12  mathnet  mathscinet  zmath; Math. Notes, 17:1 (1975), 3–8
1974
39. V. I. Berdyshev, “Operator of best approximation on finite-dimensional subspaces”, Mat. Zametki, 16:3 (1974),  501–511  mathnet  mathscinet  zmath; Math. Notes, 16:3 (1974), 888–893
40. V. I. Berdyshev, “Estimate of the modulus of continuity of the operator grad F”, Mat. Zametki, 16:2 (1974),  349–360  mathnet  mathscinet  zmath; Math. Notes, 16:2 (1974), 793–800
41. V. I. Berdyshev, “On the modulus of continuity of an operator of best approximation”, Mat. Zametki, 15:5 (1974),  797–808  mathnet  mathscinet  zmath; Math. Notes, 15:5 (1974), 478–484
1971
42. V. I. Berdyshev, “Best approximations in $L_[0,infty)$ of the differentiation operator”, Mat. Zametki, 9:5 (1971),  477–481  mathnet  mathscinet  zmath; Math. Notes, 9:5 (1971), 275–277
1970
43. 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  mathnet  mathscinet  zmath; Math. Notes, 8:3 (1970), 657–662
1968
44. V. I. Berdyshev, “A relation between Jensen's inequality and a geometrical problem”, Mat. Zametki, 3:3 (1968),  327–338  mathnet  mathscinet  zmath; Math. Notes, 3:3 (1968), 206–213
1967
45. V. I. Berdyshev, “Jackson's theorem in $L_p$”, Trudy Mat. Inst. Steklov., 88 (1967),  3–16  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 88 (1967), 1–14
1965
46. V. I. Berdyshev, “The approximation in mean of periodic functions by Fourier sums”, Izv. Akad. Nauk SSSR Ser. Mat., 29:3 (1965),  505–526  mathnet  mathscinet  zmath

2018
47. 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  mathnet  mathscinet  elib
2017
48. 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  mathnet  elib
2015
49. V. I. Berdyshev, “A Letter to the Editor”, Trudy Inst. Mat. i Mekh. UrO RAN, 21:4 (2015),  316  mathnet  mathscinet  elib
2014
50. 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  mathnet  mathscinet  elib; Proc. Steklov Inst. Math. (Suppl.), 289, suppl. 1 (2015), 1–8  isi
2013
51. 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  mathnet  mathscinet
2011
52. 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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 276, suppl. 1 (2012), S1–S3  scopus
2009
53. 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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 269, suppl. 1 (2010), S1–S5
54. 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  mathnet  elib; Proc. Steklov Inst. Math. (Suppl.), 268, suppl. 1 (2010), S1–S14  isi  scopus
2008
55. 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  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:3 (2008), 547–549  isi
2007
56. 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  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:2 (2007), 403–406  isi
57. 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  mathnet  mathscinet
2006
58. 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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 253, suppl. 1 (2006), S1–S3
2004
59. 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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2004no. , suppl. 2, S1–S19
2003
60. 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  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math. (Suppl.), 2003no. , suppl. 2, S1–S7
1996
61. 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  mathnet  mathscinet  zmath  elib

Presentations in Math-Net.Ru
1. Экстремальные задачи навигации по геофизическим полям
V. I. Berdyshev, V. B. Kostousov

December 9, 2017 10:00   
2. Математика на Урале
V. I. Berdyshev, N. Yu. Lukoyanov
General Meeting of the Branch of Mathematical Sciences, RAS, 2015
March 21, 2016 14:10   
3. Закрытие конференции «День математика и механика»
V. I. Berdyshev
Second Internet video conference "Day of Mathematics and Mechanics"
September 17, 2012 14:20
4. Открытие конференции «День математика и механика»
V. I. Berdyshev
Second Internet video conference "Day of Mathematics and Mechanics"
September 17, 2012 10:00

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