Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
Phone: 8 (383) 329-75-34
E-mail:
Keywords: the wreath product of permutation group, finite width, Bergman property, skew linear group
UDC: 517.977, 517.929

Subject:

theory of differential-difference equations

Main publications:

1. A. A. Korobov, “Decomposition of a simple transformation into a product of simple transformations with given parameters”, Some problems in differential equations and discrete mathematics, Novosibirsk, Gos. Univ.,, Novosibirsk, 1986, 28–33 http://apps.webofknowledge.com/summary.do?SID=T2Uo9nEASOKlSzo13xf&product=WOS&parentQid=7&UT=WOS    
2. A. A. Korobov, “Kriterii suschestvovaniya periodicheskikh i razreshimykh dopolnenii normalnykh podgrupp v algebraicheskikh lineinykh gruppakh”, Matematicheskii analiz i diskretnaya matematika, Mezhvuzovskii sbornik nauchnykh trudov, eds. M. M. Lavrentev, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1988, 27-31  
3. A. A. Korobov, Bazy tozhdestv nekotorykh treugolnykh lineinykh grupp, Preprint № 17, IM SO RAN, Novosibirsk, 1992 , 36 pp., (Eta publikatsiya tsitiruetsya v diss. Korobova) http://search.rsl.ru/ru/catalog#ltr=Korobo&st=author
4. A. A. Korobov, “Characterization of dilatations expressible as a product of independent simple transformations”, (Eta statya tsitiruetsya v diss. Korobova), Proceeding of the IIIrd International Conference on Algebra (Krasnoyarsk, 1993). (Krasnoyarsk, 1993), Walter de Greyter,, Berlin – New York, 1995, 143-149      
5. A. A. Korobov, “Reshetki podmnogoobrazii lieva tipa i bazy tozhdestv nekotorykh treugolnykh grupp”, Gruppovye i metricheskie svoistva otobrazhenii, Mezhvuzovskii sbornik nauchnykh trudov, eds. M. M. Lavrentev, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 1995, 37-48    
6. A. A. Korobov, Sootnosheniya v lineinykh gruppakh, Dissertatsiya na soiskanie uchenoi stepeni kandidata fiziko-matematicheskikh nauk, IM SO RAN, Novosibirsk, 1999 , 54 pp. http://dlib.rsl.ru/rsl01000000000/rsl01000218000/rsl01000218616/rsl01000218616.pdf
7. A. A. Korobov, “ON ALGEBRAIC APPROACH TO SOLVING A NEW PROBLEM OF OPTIMAL CONTROL”, Vychisl. Tekhnol., 8:4 (2003), 283 - 289  
8. A. A. Korobov, “Ob algebraicheskom metode dlya resheniya odnoi zadachi optimalnogo upravleniya”, Infokommunikatsionnye i vychislitelnye tekhnologii i sistemy, Materialy Vserossiiskoi konferentsii (Ulan-Ude - Baikal, 5-9 avgusta 2003 g.), ISBN 5-85213-721-9, chast 2, eds. A. P. Semenov, A. S. Buldaev, Izd-vo Buryatskogo gosuniversiteta, Ulan-Ude, 2003, 9-11 http://csl.isc.irk.ru/cgi/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=CSL&P21DBN=CSL&S21FMT=fullwebr&S21ALL=(
9. A. A. Korobov, “Razdelennye raznosti v teorii differentsialno-raznostnykh uravnenii i v teorii grupp”, (Eta statya tsitiruetsya v Mi smj2324, MR2369826, Zbl 1139.20032, WOS:000254995700010, http://arxiv.org/pdf/0707.0571v1.pdf), Vestn. NGU. Ser. matem., mekh., inform., 6:3 (2006), 25–48 , ZentralBlatt: 1240.20045  
10. A. A. Korobov, “Novye effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, Differentsialnye uravneniya i protsessy upravleniya, 2006, no. 3, 28 - 54 http://elibrary.ru/download/14395577.pdf      
11. A. A. Korobov, “Effective conditions for the pointwise-completeness of linear systems with delay”, J. Appl. Industr. Math., 3:1 (2009), 78–95            
12. A. A. Korobov, “O novykh effektivnykh usloviyakh tochechnoi polnoty dlya lineinoi sistemy s zapazdyvaniem”, (Eta publikatsiya tsitiruetsya v Mi sjim624), Differentsialnye uravneniya, teoriya funktsii i prilozheniya., Tezisy dokladov Mezhdunarodnoi konferentsii, posvyaschennoi 100-letiyu I. N. Vekua (Novosibirsk, 28 maya – 2 iyunya 2007 g.), ISBN 978-5-94356-515-1, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2007, 205 http://math.nsc.ru/conference/invconf/vekua07/abstracts/diff_eq/korobov.pdf
13. A. A. Korobov, “Novye effektivnye usloviya tochechnoi polnoty dlya lineinykh sistem s zapazdyvaniem”, (Eta statya tsitiruetsya v Mi sjim833, Mi sjim624), Materialy Mezhdunarodnoi konferentsii «Vychislitelnaya matematika, differentsialnye uravneniya, informatsionnye tekhnologii» (Ulan-Ude − Baikal, 24-28 avgusta 2009 g.), Izd-vo VSGTU, Ulan-Ude, 2009, 216-223 http://lib.esstu.ru/cgi-bin/irbis64r_12/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=BOOK&P21DBN=BOOK&S21FMT=fullwebr&S21ALL=
14. A. A. Korobov, “On pointwise complete pairs of linear transformations”, Journal of Applied and Industrial Mathematics, 5:2 (2011), 231-239 http://download.springer.com/static/pdf/961/art          
15. A. A. Korobov, “Effektivnyi algoritm dlya opredeleniya tochechnoi polnoty i tochechnoi vyrozhdennosti lineinykh sistem poryadka 12 s zapazdyvaniem”, IV Mezhdunarodnaya konferentsiya «MATEMATIKA, EE PRILOZhENIYa I MATEMATIChESKOE OBRAZOVANIE» (Ulan-Ude, Baikal, 27 iyunya - iyulya 2011 g.), ISBN 978-5-89230-390-3, chast 2, Izd-vo VSGTU, Ulan-Ude, 2011, 107-111 http://lib.esstu.ru/cgi-bin/irbis64r_12/cgiirbis_64.exe?LNG=&C21COM=S&I21DBN=BOOK&P21DBN=BOOK&S21FMT=fullwebr&S21ALL=
16. A. A. Korobov, “O predstavleniyakh veschestvennykh algebr s deleniem”, Matematicheskie zametki SVFU, 19:2 (2012), 68-72 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/12-02.pdf    
17. A. A. Korobov, “Spletenie, imeyuschee konechnuyu shirinu”, Matematicheskie zametki YaGU, 20:2 (2013), 98-106 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/13-02.pdf    
18. A. A. Korobov, “Ob usloviyakh razreshimosti odnogo semeistva uravnenii Pellya”, Matematicheskie zametki YaGU, 20:1 (2013), 44-49 http://s-vfu.ru/universitet/rukovodstvo-i-struktura/instituty/niim/mzsvfu/electronic-version-of-the-magazine/13-01.pdf      
19. A. A. Korobov, “On stability of unipotent automorphism groups of a vector space over a division ring”, Sib. Èlektron. Mat. Izv., 11 (2014), 119–129      
20. A. A. Korobov, “Justification of an effective algorithm for determining the pointwise completeness and pointwise degeneracy of linear delay systems of order 12”, Sib. Zh. Ind. Mat., 17:2 (2014), 59–73      
21. A. T. Gainov, A. A. Korobov, Vysshaya algebra i analiticheskaya geometriya, uchebnoe posobie, eds. M. Shikova, Novosibirskii gosudarstvennyi universitet, Novosibirsk, 2009 , 376 pp. https://yadi.sk/i/d-Om3ku7ypscK  

Recent publications

Personal pages:

• 
• 
• 
• 
• 

Organisations:

• Novosibirsk State University
• Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk