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Bratishchev, Alexandre Vasil'yevich
Statistics
in MathSciNet: 16 (16)
in zbMATH: 13 (13)
in Web of Science: 4 (4)
in Scopus: 4 (4)
Professor
Doctor of physico-mathematical sciences (1998)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 19.08.1949
E-mail:
Keywords: general exponents, entire functions, synergetic control.
UDC: 517.5, 517.547.22, 517.982, 517.984.52, 517.53, 517.938

Subject:

Function theory. Functional analysis. Dynamic system theory.
   
Main publications:
  1. A. V. Bratischev, “O kharakteristicheskom mnogochlene sostoyaniya ravnovesiya avtonomnoi sistemy, imeyuschei prityagivayuschee invariantnoe mnogoobrazie”, Differentsialnye uravneniya i protsessy upravleniya, 2017, no. 2, 11–19
  2. A. V. Bratischev, “Operatory obobschennogo differentsirovaniya Gelfonda-Leonteva i polinomy Brenke”, Vestnik DGTU, 10:6 (2010), 813–824  elib
  3. A. V. Bratischev, “Obraschenie pravila Lopitalya”, Mekhanika sploshnoi sredy, eds. Vorovich I.I., Rostovskii gosudarstvennyi universitet, Rostov-na-Donu, 1985, 28–42
  4. A. V. Bratishchev, “A type of lower estimate for entire functions of finite order, and some applications”, Math. USSR-Izv., 24:3 (1985), 415–438  mathnet  crossref  mathscinet  zmath
  5. A. V. Bratishchev, Yu. F. Korobeinik, “General form of linear operators which commute with the operation of differentiation”, Math. Notes, 12:2 (1972), 547–551  mathnet  crossref  mathscinet  zmath

https://www.mathnet.ru/eng/person23373
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/205163

List of publications:
| scientific publications | by years | by types | by times cited | common list |


Citations (Crossref Cited-By Service + Math-Net.Ru)

Articles
1. A. V. Bratischev, “SINERGETIChESKOE UPRAVLENIE V ZADAChAKh ANALITIChESKOI MEKhANIKI”, Tekhnologii razrabotki i otladki slozhnykh tekhnicheskikh sistem. IX Vserossiiskaya nauchno-prakticheskaya konferentsiya. (MVTU im.Baumana, 5–6 aprelya 2023 g.), MVTU, Moskva, 2024, S. 93–103.
2. A. V. Bratischev, A. V. Zhivolup, “Sinergeticheskoe upravlenie materialnoi tochkoi v gravitatsionnom pole”, Differentsialnye uravneniya i protsessy upravleniya, 2024, no. 1, https://elibrary.ru/item.asp?id=54101491 , 11 pp.
3. A. V. Bratischev, “Dve zadachi mezhorbitalnykh pereletov”, Trudy Mezhdunarodnoi nauchno-prakticheskoi konferentsii IIT&MM-2024 (pos. Divnomorskoe, g. Gelendzhik, Krasnodarskii krai, 25–30.2024 g.), eds. pod red. V.V. Sidoryakinoi., DGTU-Print, Rostov-n/Donu, 2024, 12–20
4. A. V. Bratischev, “SINERGETIChESKOE UPRAVLENIE MEZhORBITALNYM PERELETOM”, Differentsialnye uravneniya i protsessy upravleniya, 2024, no. 4, https://elibrary.ru/item.asp?id=54101491 , 14 pp.
5. G. A. Batischeva, A. V. Bratischev, “PRIMENENIE SINERGETIChESKIKh METODOV UPRAVLENIYa V ISSLEDOVANII DINAMIChESKOI SISTEMY “PREDLOZhENIE I SPROS””, Informatizatsiya v tsifrovoi ekonomike, 4:2 (2023), 139–152
6. G. A. Batischeva, A. V. Bratischev, M. I. Zhuravleva, “MATEMATIChESKII ANALIZ I UPRAVLENIE DINAMIChESKOI SISTEMOI REGULIROVANIYa DENEZhNYKh I TOVARNYKh POTOKOV”, Vestnik Rostovskogo gosudarstvennogo ekonomicheskogo universiteta (RINKh), 1(81) (2023), 61–67
7. A. V. Bratischev, “Upravlenie podvizhnoi platformoi s mayatnikom”, Differentsialnye uravneniya i protsessy upravleniya, 2022, no. 1 , 15 pp.
8. Bratishchev A., Batishcheva G., Zhuravleva M. , Rogozin S., “Mathematical Model of Production and Exchange: Bifurcation Analysis and Management”, Lecture Notes in Networks and Systems, 362 LNNS (2022), 488–495  crossref
9. Bratishchev A.V., “On Gelfond–Leontiev Operators of Generalized Differentiation”, J Math Sci, 252 (2021) , 319-344 pp. DOI: https://doi.org/10.1007/s10958-020-05163-8  crossref  scopus 1
10. A. V. Bratischev, “Kachestvennyi analiz uravneniya dvizheniya sistemy “podvizhnaya platforma s mayatnikom””, Differentsialnye uravneniya i protsessy upravleniya [Elektronnyi resurs]: elektron. zhurn. / SPbGU, # 2 (2021), https://elibrary.ru/item.asp?id=54101491 , 49-64 pp.
11. A. V. Bratishchev, “FIRST INTEGRALS OF THE SYSTEM “PLATFORM WITH PENDULUM” AND CONTROLLING OF IT”, Journal of Physics: Conference Series, 2131:2 (2021), 022020  crossref  mathscinet
12. Bratishchev A., Batishcheva G., Denisov M., Zhuravleva M., “BIFURCATION ANALYSIS AND SYNERGETIC CONTROL OF A DYNAMIC SYSTEM WITH SEVERAL PARAMETERS”, Advances in Intelligent Systems and Computing., T. 1095., 2020., S. 639-646.  crossref  isi  scopus 1
13. A. V. Bratischev, “Upravlenie kolebaniyami mayatnika na podvizhnoi platforme.”, Differentsialnye uravneniya i protsessy upravleniya [Elektronnyi resurs]: elektron. zhurn. / SPbGU, # 4 (2020), https://elibrary.ru/item.asp?id=54101491 , 75-86 pp. Rezhim dostupa: http://www.math.spbu.ru/diffjournal
14. A. V. Bratischev, “O faktorizatsii kharakteristicheskogo mnogochlena matritsy Yakobi”, Trudy Matematicheskogo tsentra imeni N. I. Lobachevskogo / Kazanskoe matematicheskoe obschestvo. Teo-riya funktsii, ee prilozheniya i smezhnye voprosy, Materialy Chetyrnadtsatoi mezhdunarodnoi Kazanskoi nauchnoi shkoly-konferentsii. (Kazan,, 7–12 sentyabrya 2019 g), 57, Izdatelstvo Kazanskogo matematicheskogo obschestva, Izdatelstvo Akademii nauk Respubliki Tatarstan, Kazan, 2019, 73–76
15. A. V. Bratischev, “Faktorizatsiya kharakteristicheskogo mnogochlena sostoyaniya ravnovesiya avtonomnoi sistemy c invariantnym mnozhestvom”, Differentsialnye uravneniya i protsessy upravleniya [Elektronnyi resurs]: elektron. zhurn. / SPbGU, 2019, no. 3, 1–17 , Rezhim dostupa: http://www.math.spbu.ru/diffjournal
16. A. V. Bratishchev, G. A. Batishcheva, M. I. Zhuravleva, “Bifurcation analysis and synergetic management of the dynamic system “Intermediary activity””, 13th International Conference on Application of Fuzzy Systems and Soft Computing, ICAFS 2018 (Warsaw, Poland; 27-28 August 2018), Advances in Intelligent Systems and Computing, 896, 2019, 659–667  crossref  isi  scopus 1
17. A. V. Bratishchev, “On Gelfond–Leontiev Operators of Generalized Differentiation”, J. Math. Sci. (N. Y.), 252:3 (2021), 319–344  mathnet  crossref  mathscinet  scopus
18. A. V. Bratischev, “Faktorizatsiya kharakteristicheskogo mnogochlena sostoyaniya ravnovesiya avtonomnoi sistemy, imeyuschei prityagivayuschee invariantnoe mnogoobrazie”, Differentsialnye uravneniya i protsessy upravleniya, 2018, no. 4 , 1–17 pp.
19. A. V. Bratischev, “O kharakteristicheskom mnogochlene sostoyaniya ravnovesiya avtonomnoi sistemy, imeyuschei prityagivayuschee invariantnoe mnogoobrazie”, Differentsialnye uravneniya i protsessy upravleniya, 2017, no. 2, 11–19
20. A. V. Bratischev, “Tri matematicheskie zadachi iz sinergeticheskoi teorii upravleniya”, Differentsialnye uravneniya i protsessy upravleniya, 2016, no. 2, 16–30  elib
21. A. V. Bratischev, M. I. Zhuravlëva, “Bifurkatsionnyi analiz i sinergeticheskoe upravlenie sistemoi “valovoi produkt-trudovoi resurs””, Vestnik Rostovskogo gosudarstvennogo ekonomicheskogo universiteta (RINKh), 2015, no. 2 (50), 147–155
22. A. V. Bratischev, “O predstavlenii operatora obobschënnogo differentsirovaniya Gelfonda-Leonteva v odnosvyaznoi oblasti”, Vestnik DGTU, 14:2 (2014), 21–26  elib
23. A. V. Bratischev, “O predstavlenii lineinykh operatorov, kommutiruyuschikh s differentsirovaniem, v odnosvyaznoi oblasti”, Vestnik DGTU, 14:1 (2014), 15–21  elib
24. A. V. Bratischev, “Ob operatorakh kompleksnoi svërtki i obobschënnogo differenirovaniya”, Trudy matematicheskogo tsentra imeni N. I. Lobachevskogo, 46, Kazanskii universitet, 2013, 127–130
25. A. V. Bratischev, “Operatory obobschennogo differentsirovaniya Gelfonda-Leonteva i polinomy Brenke”, Vestnik DGTU, 10:6 (2010), 813–824  elib
26. A. V. Bratischev, “Khaotichnost kommutiruyuschikh s differentsirovaniem Dankla preobrazovanii prostranstva analiticheskikh funktsii”, Trudy matematicheskogo tsentra imeni N. I. Lobachevskogo, 38, Kazanskoe matematicheskoe obschestvo, 2009, 52–53
27. A. V. Bratischev, T. V. Bratischeva, A. V. Morzhakov, “Ob odnodiagonalnykh operatorakh”, Trudy matematicheskogo tsentra imeni N. I. Lobachevskogo, 38, Kazanskoe matematicheskoe obschestvo, Kazan, 2009, 53–55
28. A. V. Bratischev, “Khaotichnost kommutiruyuschikh s differentsirovaniem Dankla preobrazovanii prostranstva analiticheskikh funktsii”, Vestnik DGTU, 9:2 (2009), 196–207  elib
29. A. V. Bratischev, A. V. Morzhakov, “Ob odnodiagonalnykh operatorakh”, Integro-differentsialnye operatory i ikh prilozheniya, 8, eds. A.O.Vatulyan, Izdatelskii tsentr DGTU, Rostov-na-Donu, 2008, 32–37
30. A. V. Bratischev, L. I. Kalinichenko, “O kharakterizatsii i razreshimosti lineinykh diskretnykh raznostnykh uravnenii beskonechnogo poryadka”, Vestnik DGTU, 7:2 (2007), 149–160
31. A. V. Bratischev, A. V. Morzhakov, “O rezolvente odnogo klassa operatorov obobschënnogo diferentsirovaniya”, Vestnik DGTU, 6:2 (2006), 85–88
32. A. V. Bratischev, A. V. Morzhakov, “Predstavlenie operatora obobschennogo differentsirovaniya v odnom klasse odnosvyaznykh oblastei”, Vestnik DGTU, 5:4 (2005), 481–490
33. A. V. Bratischev, A. V. Morzhakov, “O multiplikatore pary mnozhestv kompleksnoi ploskosti”, Vestnik DGTU, 4:3 (2004), 270–281
34. A. V. Bratischev, “Oblast skhodimosti ryada obobschennykh eksponent, obrazovannogo tseloi funktsiei konechnogo poryadka”, Vestnik DGTU, 3:2 (2003), 139–144
35. A. V. Bratischev, “Priznak suschestvovaniya invariantnogo dopolneniya dlya odnogo klassa inariantnykh podprostranstv”, Vestnik DGTU, 2:1 (2002), 81–85
36. A. V. Bratischev, “Opisanie obobschennykh preobrazovanii Borelya, sokhranyayuschikh teoremu Poiya”, Vestnik DGTU, 1:1 (2001), 79–89
37. A. V. Bratischev, “Nekotorye metodicheskie osobennosti kursa vysshei matematiki dlya inzhenernykh spetsialnostei”, Vserossiiskaya konferentsiya MATEMATIKA I OBSchESTVO. MATEMATIChESKOE OBRAZOVANIE NA RUBEZhE VEKOV (Dubna. Sentyabr 2000), MTsNMO, Moskva, 2000, 333–334
38. A. V. Bratischev, “Teorema Bernshteina-Leonteva”, Teoriya priblizheniya funktsii i operatorov, Konferentsiya, posvyaschënnaya 80-letiyu S.B.Stechkina (Ekaterinburg, 28 fevralya–3 marta 2000 g.), Uralskii gosudarstvennyi universistet, Ekaterinburg, 2000, 45–46
39. A. V. Bratischev, “O lineinykh operatorakh, simvol kotorykh yavlyaetsya funktsiei proizvedeniya svoikh argumentov”, Doklady RAN, 365:1 (1999), 9–12  mathnet  mathscinet 3
40. A. V. Bratischev, L. I. Kalinichenko, “Kriterii s-invariantnosti oblasti skhodimosti ryada obobschënnykh eksponent”, Kompleksnyi analiz, differentsialnye uravneniya, chislennye metody i prilozheniya.1. Kompleksnyi analiz, eds. I.F.Krasichkov-Ternovskii, Institut matematiki s vychislitelnym tsentrom RAN, Ufa, 1996, 16–22
41. A. Bratishchev, “Analytic continuation of functions that are uniformly approximated by exponential polynomials”, Dokl. Math., 49:2 (1994), 211–215  mathnet  mathscinet  zmath
42. A. V. Bratischev, “O dvoistvennosti regulyarnoi bazisnosti i problemy momentov”, Lineinye operatory v kompleksnom analize, eds. O.V.Epifanov, Izdatelsvo Rostovskogo universisteta, Rostov-na-Donu, 1994, 17–26
43. A. Bratishchev, L. I. Kalinichenko, “Description of the domain of convergence of a generalized exponential series”, Dokl. Math., 48:1 (1994), 183–185  mathnet  mathscinet  zmath
44. A. V. Bratischev, “O regulyarnoi bazisnosti i probleme momentov v prostranstve Freshe s oslablennoi topologiei”, Teoriya funktsii, funktsionalnyi analiz i ikh prilozheniya. (Kharkov), 58 (1993), 125–138
45. A. Bratishchev, “Basis of exponentials in a half-plane and a strip”, Dokl. Math., 44:3 (1992), 753–756  mathnet  mathscinet  zmath
46. A. V. Bratishchev, “The basis property in a reflexive Fréchet space with a weakened topology”, Soviet Math. (Iz. VUZ), 34:6 (1990), 14–17  mathnet  mathscinet  zmath
47. A. V. Bratishchev, “Analytical functional bases in invariant subspaces”, Matematichki vesnik, 40:3-4 (1988), 185–188  mathscinet  zmath
48. A. V. Bratischev, “Ob indeksakh kondensatsii posledovatelnosti s konechnoi maksimalnoi plotnostyu”, Issledovaniya po kompleksnomu analizu, eds. A.G.Vitushkin, Bashkirskii filial AN SSSR, Ufa, 1987, 15–23
49. A. V. Bratischev, “Vozniknovenie i razvitie ponyatiya indeksa kondensatsii”, Aktualnye voprosy teorii funktsii, eds. Yu.F.Korobeinik, Izdatelstvo Rostovskogo universiteta, Rostov-na-Donu, 1987, 50–55
50. A. V. Bratischev, “Obraschenie pravila Lopitalya”, Mekhanika sploshnoi sredy, eds. Vorovich I.I., Rostovskii gosudarstvennyi universitet, Rostov-na-Donu, 1985, 28–42
51. A. V. Bratishchev, “A type of lower estimate for entire functions of finite order, and some applications”, Math. USSR-Izv., 24:3 (1985), 415–438  mathnet  crossref  mathscinet  zmath
52. A. V. Bratischev, “Dostatochnye usloviya interpolyatsionnosti mnozhestva v klassakh tselykh funktsii, kharakterizuemykh indikatorom”, Doklady AN SSSR, 279:5 (1984), 1036–1039  mathnet  mathscinet
53. A. V. Bratishchev, “Sufficient conditions for interpolationality of a set in classes of entire functions characterized by an indicator”, Dokl. Akad. Nauk SSSR, 279:5 (1984), 1036–1039  mathnet  mathscinet  zmath
54. A. V. Bratischev, “K odnoi zadache A.F.Leonteva”, Doklady AN SSSR, 270:# 2 (1983), 265–267  mathnet  mathscinet  zmath 8
55. A. V. Bratishchev, “Some remarks on subharmonic functions of order zero in the plane”, Math. Notes, 31:3 (1982), 185–191  mathnet  crossref  mathscinet  zmath  isi
56. A. V. Bratishchev, Yu. F. Korobeinik, “On some characteristics of the growth of subharmonic functions”, Math. USSR-Sb., 34:5 (1978), 603–626  mathnet  crossref  mathscinet  zmath
57. A. V. Bratishchev, Yu. F. Korobeinik, “The multiple interpolation problem in the space of entire functions of given proximate order”, Math. USSR-Izv., 10:5 (1976), 1049–1074  mathnet  crossref  mathscinet  zmath
58. A. Bratishchev, “The interpolation problem in certain classes of entire functions”, Siberian Math. J., 17:1 (1976), 23–33  mathnet  crossref  mathscinet  zmath  isi  scopus
59. A. V. Bratischev, “Kratnaya interpolyatsionnaya zadacha v prostranstvakh tselykh funktsii”, Vsesoyuznyi simpozium po teorii approksimatsii funktsii v kompleksnoi oblasti (Ufa, BFAN SSSR, mai 1976 g.), BFAN, Ufa, 1976, 11–12
60. A. V. Bratischev, “Kratnaya interpolyatsionnaya zadacha v prostranstvakh tselykh funktsii”, Izvestiya Severo-Kavkazskogo nauchnogo tsentra vysshei shkoly, 1976, no. 4 (16), 39–42
61. A. V. Bratishchev, Yu. F. Korobeinik, “General form of linear operators which commute with the operation of differentiation”, Math. Notes, 12:2 (1972), 547–551  mathnet  crossref  mathscinet  zmath

Books
62. I. G. Akperov, A. V. Bratishchev et al., SOFT MODELS OF MANAGEMENT IN TERMS OF DIGITAL TRANSFORMATION, Monograph, eds. under the general ed. Dr., Prof. I.G. Akperov., PEI HE SU (IUBIP), Rostov-on-Don, 2019 , 188 pp.

Thesis
63. A. V. Bratischev, Bazisy Këte, tselye funktsii i ikh prilozheniya, Diss. doktor fiz.-matem. nauk, Rostovskii gosudarstvenni universitet, Rostov-na-Donu, 1993 , 248 pp.
64. A. V. Bratischev, Kratnaya interpolyatsionnaya zadacha v prostranstvakh tselykh funktsii i eë prilozheniya v teorii bazisa, Diss. kand. fiz.-matem. nauk, Rostovskii gosudarstvennyi universitet, Rostov-na-Donu, 1976 , 102 pp.

Proceedings
65. A. V. Bratischev, “Ob operatorakh obobschënnogo differentsirovaniya Gelfonda-Leonteva”, Mezhdunarodnaya matematicheskayaya konferentsiya po teorii funktsii, posvyaschënnaya 100-letiyu chlen.-korr.SSSR A.F.Leonteva (Ufa, 24–27 maya 2017), RITs BashGU, Ufa, 2017, 29–30
66. A. V. Bratischev, “Kriterii ustoichivosti polozhenii ravnovesiya sinergeticheskogo regulyatora. Obschii sluchai”, VI Rossiisko-Armyanskoe soveschanie po matematicheskomu analizu, matematicheskoi fizike i analiticheskoi mekhanike. Materialy konferentsii (g. Rostov-na-Donu, 11 – 16 sentyabrya 2016 g.), Donskoi gosudarstvennyi tekhnicheskii universistet, 2016, 2–3 Rezhim dostupa: http://rusarm. sfedu.ru/thethis.pdf .
67. A. V. Bratischev, “Uslovie ustoichivosti nulmernogo mnogoobraziya pri sinergeticheskom upravlenii”, Sovremennye problemy teorii operatorov i garmonicheskogo analiza i ikh prilozheniya-V (Rostov-na-Donu, 26 aprelya –1 maya 2015), Yuzhnyi federalnyi universitet, Rostov n/D, 2015, 167. URL: http://www.karapetyants.sfedu.ru/conf/
68. A. V. Bratischev, “Ob odnom operatore obobschennogo differentsirovaniya Gelfonda-Leonteva”, Ufimskaya mezhdunarodnaya matematicheskaya konferentsiya, posvyaschënnaya pamyati A.F.Leonteva, T.1 (Ufa, iyun 2007), Institut matematiki s vychislitelnym tsentrom UNTs RAN, Ufa, 2007, 41–42
69. A. V. Bratischev, “Operator obobschënnogo differentsirovaniya, porozhdënnyi funktsiei Geine”, Sovremennye problemy teorii funktsii i ikh prilozheniya (Saratov, SGU, 27 yanvarya–3 fevralya 2006 g.), OOO Izdatelstvo “Nauchnaya kniga”, Saratov, 2006, 36–37
70. A. V. Bratischev, “Yavnyi vid rezolventy odnogo klassa operatorov obobschënnogo differentsirovaniya”, MATEMATIKA V VUZE (Pskov, 21–23 sentyabrya 2006 g.), Peterburgskii gosudarstvennyi universitet putei soobscheniya, Sankt-Peterburg, 2006, 103–104
71. A. V. Bratischev, “Obobschënnoe preobrazovanie Borelya i smezhnye zadachi teorii funktsii”, International Conference COMPLEX ANALYSIS AND ITS APPLICATIONS (Lviv, 26–29 may, 2003), Lviv Ivan Franko National University, Lviv, 2003, 17–18

Popular science or education materials
72. A. V. Bratischev, Matematicheskaya teoriya upravlyaemykh dinamicheskikh sistem. Vvedenie v ponyatiya i metody, Rostov n/D: Izdatelskii tsentr DGTU, 2015 , 292 pp.
73. A. V. Bratischev, Rukovodstvo k rabote s paketami MATLAB i SIMULINK. Elementy proektirovaniya i analiza, Rostov n/D: Izdatelskii tsentr DGTU, 2012 , 87 pp.

Organisations