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Borovskikh, Aleksey Vladislavovich

Total publications: 160 (133)
in MathSciNet: 13 (10)
in zbMATH: 6 (6)
in Web of Science: 6 (6)
in Scopus: 5 (5)
Cited articles: 19
Citations in Math-Net.Ru: 65
Citations in Web of Science: 14
Citations in Scopus: 19

Number of views:
This page:1893
Abstract pages:4185
Full texts:1617
References:270
Borovskikh, Aleksey Vladislavovich
Associate professor
Doctor of physico-mathematical sciences (2006)
Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 17.09.1964
E-mail:
Website: http://fpo.msu.ru/content/view/74
Keywords: wave equation in nonhomogeneous media, eiconal, differential equation on network, oscillation spectral theorems, Green function of boundary value problem, sign-regularity of discontinuous boundary value problem, summarising of Fourie series in the order of coefficients decreasing, constructive non-standard analysis.

Subject:

Theory of oscillation spectral properties. The analogue of Kellogg oscillation theorem is obtained for integral operators with discontinuous kernels and with integrating by measure is obtained. The effective conditions of sign-regularity (of Kalafaty type) of discontinuous boundary value problems are discovered. Theory of differential equations on networks. For forth order equations on the network the maximum principle is discovered. The system of determinating conditions for Green"s function of the forth order equation is found, the positivity if Green function proved. The method of the reduction of the problem on the network to a problem on an interval developed. Summarising of Fourie series. The formula of the maximal coeffitient in Fourie series and the formula of its number is obtained. Wave propagation in nonhomogeneous media. The formula of propagating waves for one-dimentional media is obtained. The group classification of eiconal equation for non-homogeneous and anisotropic medium fulfilled. Constructive non-standard analysis. The set of hyperreal values allowing the analysis of singularly perturbed equations is made constractively.

Biography

Graduated from Voronezh State University (Mathematical Department) in 1986. Candidate (Ph.D.) thesis "Boundary value problems with singularities" — 1990. About 20 referred publications.
Since 1996 — sci. secr. of Voronezh Spring Mathematical Schools and of Voronezh Winter Schools on the Function Theory.

   
Main publications:
  1. Borovskikh A. V., Pokornyi Yu. V., “Sistemy Chebysheva–Khaara v teorii razryvnykh yader Kelloga”, Uspekhi matem. nauk, 49:3 (1994), 3–42  mathnet  mathscinet  zmath
  2. Pokornyi Yu.V., Penkin O.M., Borovskikh A.V., Pryadiev V.L., Lazarev K.P., Shabrov S.A., Differentsialnye uravneniya na geometricheskikh grafakh, Fizmatlit, 2004
  3. Borovskikh A.V., Perov A.I., Lektsii po obyknovennym differentsialnym uravneniyam, NITs “Regulyarnaya i khaoticheskaya dinamika”, Institut kompyuternykh issledovanii, Moskva–Izhevsk, 2004
  4. Borovskikh A.V., “Metod rasprostranyayuschikhsya voln dlya odnomernoi neodnorodnoi sredy”, Trudy seminara im. I.G. Petrovskogo, 2004, № 24, 3–43
  5. Borovskikh A.V., “Uravneniya eikonala dlya neodnorodnoi i anizotropnoi sredy”, Uravneniya matematicheskoi fiziki, Sovremennaya matematika i ee prilozheniya, 64, 18–38

http://www.mathnet.ru/eng/person9128
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/335849
http://elibrary.ru/author_items.asp?spin=3382-7251
ISTINA http://istina.msu.ru/workers/277934
http://orcid.org/0000-0002-2212-2047
http://www.researcherid.com/rid/A-7875-201
http://www.scopus.com/authid/detail.url?authorId=6603548377

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |


1. K. S. Platonova, A. V. Borovskikh, “Group analysis of the Boltzmann and Vlasov equations”, TMF (to appear)  mathnet

   2019
2. A. V. Borovskikh, K. S. Platonova, “Group analysis of the one-dimensional Boltzmann equation: IV. Complete group classification in the general case”, Theoret. and Math. Phys., 201:2 (2019), 1612–1642  mathnet  crossref  crossref  adsnasa  scopus

   2018
3. K. S. Platonova, A. V. Borovskikh, “Group analysis of the one-dimensional Boltzmann equation: III. Condition for the moment quantities to be physically meaningful”, Theoret. and Math. Phys., 195:3 (2018), 886–915  mathnet  crossref  crossref  adsnasa  isi  elib  scopus (cited: 1)

   2015
4. I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, N. A. Izobov, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. V. Palin, N. Kh. Rozov, M. S. Romanov, I. N. Sergeev, E. V. Radkevich, O. S. Rozanova, I. V. Filimonova, A. V. Filinovskii, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Scientific heritage of Vladimir Mikhailovich Millionshchikov”, J. Math. Sci. (N. Y.), 210:2 (2015), 115–134  mathnet  crossref

   2014
5. A. V. Borovskikh, “Eikonal equation for anisotropic media”, J. Math. Sci. (N. Y.), 197:2 (2014), 248–289  mathnet  crossref  elib  scopus

   2012
6. Borovskikh A.V., Rozov N.Kh., “Nadpredmetnoe soderzhanie shkolnogo matematicheskogo obrazovaniya”, Novye obrazovatelnye programmy MGU i shkolnoe obrazovanie. Materialy konferentsii uchitelei shkol i prepodavatelei MGU. (Moskva, MGU, 10 dekabrya 2011 g.), MGU, Moskva, 2012, 21
7. Borovskikh A.V., Rozov N.Kh., “Deyatelnostnaya pedagogika”, Vysshaya shkola: opyt, problemy, perspektivy: materialy V Mezhdunarodnoi nauchno-prakticheskoi konferentsii. (Moskva, RUDN, 19-20 aprelya 2012 g.), RUDN, Moskva, 2012, 8-16
8. Borovskikh A.V., Rozov N.Kh., “Deyatelnostnye printsipy i pedagogicheskaya logika”, Sovremennoe obrazovanie kak otkrytaya sistema: kollektivnaya monografiya, Institut nauchnoi i pedagogicheskoi informatsii RAO, izd-vo “YuNITI-DANA”, izd-vo “YuRKOMPANI”, Moskva, 2012, 341-360
9. Borovskikh A.V., Rozov N.Kh., “Evolyutsiya tselei i tsennostei obrazovaniya”, Vestnik Moskovoskogo universiteta. Seriya XX. Pedagogicheskoe obrazovanie, 2012, no. 2, 3-17

   2011
10. Borovskikh A.V., Rozov N.Kh., “Evolyutsiya tselei i tsennostei obrazovaniya”, Matematika. Obrazovanie: mater. 19-i Mezhdunar.konf. (Cheboksary, 29 maya – 4 iyunya 2011 g.), Izd-vo Chuvashskogo un-ta, Cheboksary, 2011, 20-29
11. Borovskikh A.V., Rozov N.Kh., “Pedagogicheskoe modelirovanie”, Sovremennye problemy prikladnoi matematiki, teorii upravleniya i matematicheskogo modelirovaniya. Mater. IV Mezhdunar. konf. (Voronezh, 12-17 sentyabrya 2011 g.), Izd-vo VGU, Voronezh, 2011, 42-44
12. Borovskikh A.V., Rozov N.Kh., “Nadpredmetnoe soderzhanie shkolnogo kursa matematiki”, Matematicheskoe obrazovanie v shkole buduschego: traditsii i innovatsii: Materialy Vserossiiskoi zaochnoi nauchno-prakticheskoi konferentsii s mezhdunarodnym uchastiem. (Elets, 7-8 oktyabrya 2011 g.), EGU im. I.A. Bunina, Elets, 2011, 84-99
13. Borovskikh A.V., Sokolova E.V., ““Prepodavanie matematiki” v klassakh kompensiruyuschego obucheniya”, Na poroge vzrosleniya. Sb. tez. dokl. Tretei Vseros. nauchn.-praktich. konf. po psikhologii razvitiya (Moskva, 23-25 noyabrya 2011 g.), MGPPU, Moskva, 2011, 235-237
14. Borovskikh A.V., Kuznetsova E.V., Novikova G.V., Popov L.V., Rozov N.Kh., “Pedagogicheskie vozzreniya M.V.Lomonosova”, Lomonosov: patriot, tvorets, prosvetitel, eds. N.Kh.Rozov, Izd-vo Mosk. un-ta, Moskva, 2011, 30-55
15. Borovskikh A.V., Rozov N.Kh., “Pedagogicheskaya logika i deyatelnostnye printsipy v pedagogike”, Filosofiya i obrazovanie v protsesse transformatsii kultury. Materialy yubileinoi konferentsii: “Filosofiya i obrazovanie v protsesse transformatsii kultury” (Moskva, 14-15 dekabrya 2011 g.), Elektronnyi resurs, eds. V.V.Mironov, E.V.Bryzgalina, A.P.Kozyrev, V.I.Markin, Filosofskii f-t MGU imeni M.V.Lomonosova, Moskva, 2011, 12
16. Borovskikh A.V., Rozov N.Kh., “Deyatelnostnyi podkhod v pedagogike: predystoriya, problemy, resheniya”, Interaktivnyi obrazovatelnye tekhnologii: materialy kruglogo stola (Moskva, 16 dekabrya 2011 g.), MGU, Moskva, 2011, 24
17. Borovskikh A.V., “O razryvakh v shkolnom matematicheskom obrazovanii”, Vserossiiskii s'ezd uchitelei matematiki. Tez. dokl. (Moskva, MGU, 28-30 oktyabrya 2010 g.), MAKS Press, Moskva, 2011, 450-452
18. Borovskikh A.V., Rozov N.Kh., “Nadpredmetnoe soderzhanie shkolnogo kursa matematiki”, Trudy IX mezhdunarodnykh Kolmogorovskikh chtenii. Sb. statei. (Yaroslavl, 17-20 maya 2011 g.), YarGPU, Yaroslavl, 2011, 22-29
19. Rozov N.Kh., Borovskikh A.V., “Zachem uchit detei v shkole?”, Khimiya i zhizn - XXI vek, 2011, no. 4, 2-7
20. Rozov N.Kh., Borovskikh A.V., “Deyatelnostnye printsipy i pedagogicheskaya logika”, Professionalnoe obrazovanie. Stolitsa., 2011, no. 7, 10-13
21. Borovskikh A.V., Rozov N.Kh., “Deyatelnostnye printsipy i pedagogicheskaya logika. Izvlecheniya iz monografii”, Innovatsii v professionalnoi shkole. Prilozhenie k zhurnalu "Professionalnoe obrazovanie. Stolitsa.", 2011, no. 9, 48 s.
22. Borovskikh A.V., Kuznetsova E.V., Novikova G.V., Popov L.V., Rozov N.Kh., “Pedagogicheskie vozzreniya M.V.Lomonosova”, Pedagogika, 2011, no. 8, 3-14
23. Shadrikov V.D., Rozov N.Kh., Borovskikh A.V., “Retsept s pometkoi “cito””, Poisk, 2011, no. 38, 7, 10
24. Borovskikh A.V., Rozov N.Kh., “Chto zhe takoe "protsent"?”, Matematika, 2011, no. Yanvar, 23-27
25. Astashova I.V., Borovskikh A.V., Bykov V.V., Goritskii A.Yu., Denisova N.V., Zhikov V.V., Il'jashenko Yu.S., Kapustina T.O., Kozlov V.V., Kon'kov A.A. et al., “Olga Arsenjevna Oleinik”, Journal of Mathematical Sciences, 179:3 (2011), 345-346  mathnet  crossref  elib (cited: 4)

   2010
26. Borovskikh A.V., “Uravnenie eikonala dlya neodnorodnykh i anizotropnykh sred”, Tez. dokl. konf. “Lavrentevskie chteniya” (Novosibirsk, 23-27 avgusta 2010 g.), IG SO RAN, Novosibirsk, 2010, 24-25
27. Borovskikh A.V., Rozov N.Kh., “Deyatelnostnye printsipy i pedagogicheskaya logika”, Pedagogika, 2010, no. 8, 10-19  elib (cited: 16)
28. Borovskikh A.V.,Rozov N.Kh, “Activity” principles in pedagogy and pedagogical logics, MAKS Press, Moscow, 2010 , 80 pp.
29. Borovskikh A.V., “Group analysis of anisotropic eikonal equation”, Differential Equations, 46:11 (2010), 1665
30. Borovskikh A.V., Khalilov A.M., “Van-der-Pol equation with peace-linear kharacteristics of non-linear element”, Differential Equations, 46:11 (2010), 1671
31. Borovskikh A.V., Rozov N.Kh., “Chto takoe "protsent"?”, Trudy VIII Mezhdunarodnykh Kolmogorovskikh chtenii. Sb. statei. (5-8 maya 2008 g.), YaGPU, Yaroslavl, 2010, 15-29
32. Borovskikh A.V., Rozov N.Kh., “Metod sotsializatsii kak sposob preodoleniya proizvolnosti uslovii v igre i obuchenii”, Igra kak uslovie i mekhanizm razvitiya. Mater. 2-oi Ezhegodn. konf. po igram v obrazovanii., Krasnogorsk Moskovskoi obl., 3-5 dekabrya 2010 g., Krasnogorskii filial RANKhiGS pri Prezidente RF, Krasnogorsk Moskovskoi obl., 2010, 277-285
33. Borovskikh A.V., Rozov N.Kh., “O bednom protsente zamolvite slovo...”, Matematika v shkole, 2010, no. 3, 3-15
34. Borovskikh A.V., Rozov N.Kh., “Nekotorye mysli o pedagogicheskikh realiyakh”, Vestnik Uralskogo instituta ekonomiki, upravleniya i prava., 2010, no. 4, 92-97
35. I. V. Astashova, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, V. V. Kozlov, V. A. Kondratiev, A. A. Kon'kov, N. Kh. Rozov, I. N. Sergeev, V. N. Chubarikov, A. T. Fomenko, A. S. Shamaev, “To memory of Vladimir Mikhailovich Millionshchikov”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 2, 71–72  mathnet  mathscinet

   2009
36. Borovskikh A.V., “Gruppovoi analiz uravnenii eikonala dlya anizotropnoi sredy”, Tez. dokl. Vseross. konf. “Novye matematicheskie modeli mekhaniki sploshny sred: postroenie i izuchenie” (Novosibirsk, 23-28 aprelya 2009 g.), IG SO RAN, Novosibirsk, 2009, 38-39
37. Borovskikh A.V., “Gruppovoi analiz uravnenii eikonala dlya anizotropnoi sredy”, Tez. dokl. Mezhdunar. konf. “Sovremennye problemy vychislitelnoi matematiki i matematicheskoi fiziki” (Moskva, 16-18 iyunya 2009 g.), MGU, Moskva, 2009, 149-151
38. Borovskikh A.V., “Group analysis of eikonal equation for non-homogeneous and anisotropic medium”, Abstr. of Intern. Conf. “Symmetry in non-linear physics” (Kiev, 21-27 iyunya 2009 g.), IM NAN Ukrainy, Kiev, 2009, po ssylke http://imath.kiev.ua/~appmath/
39. Borovskikh A.V., “Integriruemost uravneniya eikonala i kaskadnye formy rimanovykh metrik”, Chernozemnyi almanakh nauchnykh issledovanii., Seriya “Fundamentalnaya matematika”, 1(8), VGU, Voronezh, 2009, 28-57

   2010
40. Borovskikh A.V., “Eikonal equations for an inhomogeneous anisotropic medium”, Journal of Mathematical Sciences, 164:6 (2010), 859-880  crossref

   2008
41. Borovskikh A.V., Rozov N.Kh., “Pragmatizm kak metodologicheskii printsip v pedagogike”, Pedagogika, 2008, no. 8, 3-8  elib (cited: 8)
42. Borovskikh A.V., “Uravneniya eikonala dlya neodnorodnoi i anizotropnoi sredy”, Tez. dokl. Mezhdun. konf. “Differentsialnye uravneniya. Funktsionalnye prostranstva. Teoriya priblizhenii”, posv. 100-letiyu so dnya rozhdeniya S.L.Soboleva. (Novosibirsk, 05-12 oktyabrya 2008 g.), In-t matematiki SO RAN, Novosibirsk, 2008, 114
43. Borovskikh A.V., Rozov N.Kh., Shamaev A.S., “Pervyi opyt organizatsii pedagogicheskoi sektsii na konferentsii, posvyaschennoi pamyati I.G.Petrovskogo”, Matematika v vysshem obrazovanii, 2008, no. 8, 9-10
44. Borovskikh A.V., Perov A.I., “O nekotorykh metodicheskikh printsipakh uchebnika po obyknovennym differentsialnym uravneniyam”, Matematika v vysshem obrazovanii, 2008, no. 6, 45-49
45. Rozov N.Kh., Reikhani E., Borovskikh A.V., V'zlite v uchilische. Urotsi za razvivane na prostranstvenogo mislene, Fondatsiya “Mlada B'lgariya”, Sofiya, 2008 , 162 pp., (na bolgarskom yazyke)

   2007
46. Borovskikh A.V., “Formulas of boundary control of an inhomogeneous string: I”, Differential Equations, 43:1 (2007), 69-95  crossref  elib (cited: 2)  elib (cited: 2)
47. Borovskikh A.V., “Formulas of boundary control of an inhomogeneous string: II”, Differential Equations, 43:5 (2007), 656-666  crossref  elib (cited: 2)  elib (cited: 2)
48. Borovskikh A.V., Rozov N.Kh., “O materialnoi i simvolnoi kulture v shkolnom obrazovanii”, Teoriya i praktika innovatsionnoi deyatelnosti v obrazovanii, MAKS Press, Moskva, 2007, 14-17
49. Borovskikh A.V., Reikhani E., Rozov N.Kh., “Razvitie geometricheskogo myshleniya shkolnikov”, Teoriya i praktika innovatsionnoi deyatelnosti v obrazovanii, MAKS Press, Moskva, 2007, 28-46
50. Borovskikh A.V., Reikhani E., Rozov N.Kh., “Uzly v shkole”, Teoriya i praktika innovatsionnoi deyatelnosti v obrazovanii, MAKS Press, Moskva, 2007, 47-62
51. Borovskikh A.V., “Pole giperdeistvitelnykh velichin i odno ego prilozhenie”, Chernozemnyi almanakh nauchnykh issledovanii, Seriya “Fundamentalnaya matematika”, 1(5), VGU, Voronezh, 2007, 42-73
52. Borovskikh A.V., “Psikhologicheskaya pentagramma”, Trudy konferentsii “Lomonosovskie chteniya”, 5, MAKS Press, Moskva, 2007, 11-14
53. Rozov N.Kh, Reihani E., Borovskikh A.V., Knots at school. Lessons of the development of the spatial thinking, KDU, Moscow, 2007
54. I. V. Astashova, L. A. Bagirov, A. V. Borovskikh, V. V. Bykov, A. N. Vetokhin, A. Yu. Goritskii, G. V. Grishina, N. V. Denisova, Yu. S. Ilyashenko, T. O. Kapustina, V. V. Kozlov, A. A. Kon'kov, I. V. Matrosov, V. M. Millionshchikov, V. A. Nikishkin, E. V. Radkevich, O. S. Rozanova, È. R. Rozendorn, N. Kh. Rozov, V. A. Sadovnichii, V. S. Samovol, I. N. Sergeev, I. V. Filimonova, A. V. Filinovskii, A. F. Filippov, T. S. Khachlaev, G. A. Chechkin, A. S. Shamaev, T. A. Shaposhnikova, “Vladimir Alexandrovich Kondratiev on the 70th anniversary of his birth”, J. Math. Sci. (N. Y.), 143:4 (2007), 3183–3197  mathnet  crossref  mathscinet

   2006
55. A. V. Borovskikh, “The two-dimensional eikonal equation”, Siberian Math. J., 47:5 (2006), 813–834  mathnet  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 15)
56. Borovskikh A.V., “Equivalence groups of eikonal equation and classes of equivalent equations”, Bulletin of NSU, 2006, no. 4, 3-42
57. Borovskikh A.V., Rasprostranenie voln v neodnorodnoi srede, Diss.…doktora fiz.-mat. nauk. 01.01.02 – Differentsialnye uravneniya., MGU, Moskva, 2006 , 300 pp.
58. A. V. Borovskikh, “Equivalence groupes of eikonal equation and classes of equivalent equations”, Vestnik, Quart. J. of Novosibirsk State Univ., Series: Math., mech. and informatics, 6:4 (2006), 3–42  mathnet

   2005
59. Borovskikh A.V., “An expression of the Riemann function of the wave equation in an Inhomogeneous medium via the transport coefficients”, Differential equations, 41:6 (2005), 895-896  mathnet  crossref  elib
60. Borovskikh A.V., “Group analysis of the two-dimentional eikonal equation”, Differential equations, 41:6 (2005), 899
61. Borovskikh A.V., “Explicit solutions of two-dimentional eikonal equations”, Differential equations, 41:6 (2005), 906-907

   2004
62. A. V. Borovskikh, “Group classification of the eikonal equation for a 3-dimensional inhomogeneous medium”, Sb. Math., 195:4 (2004), 479–520  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 6)  scopus (cited: 3)
63. Pokornyi Yu.V., Penkin O.M., Borovskikh A.V., Pryadiev V.L., Lazarev K.P., Shabrov S.A., Differential equations on geometrical graphs, 1, eds. Pokornyi Yu.V., Fizmatlit, Moscow, 2004 , 272 pp.
64. Borovskikh A.V., “Uravnenie eikonala v neodnorodnoi srede”, Tez. dokl. VZMSh-2004 (Voronezh, 24-28 yanvarya 2004 g.), VorGU, Voronezh, 2004, 26-27
65. Borovskikh A.V., “Rasprostranenie voln v neodnorodnoi srede”, Sovremennye problemy teorii funktsii i ikh prilozheniya: Tez. dokl. 12-i Saratovskoi zimnei shkoly. (Saratov, 27 yanvarya – 3 fevralya 2004 g.), SGU, Saratov, 2004, 32-33
66. Borovskikh A.V., “Investigation of Relaxation Oscillations with the Use of Constructive Nonstandard Analysis: I.”, Differential Equations, 40:3 (2004), 309-317  mathnet  crossref  mathscinet
67. Borovskikh A.V., “Investigation of Relaxation Oscillations with the Use of Constructive Nonstandard Analysis: II”, Differential Equations, 40:4 (2004), 491-501  mathnet  crossref  mathscinet
68. Borovskikh A.V., “Gruppovoi analiz uravneniya eikonala”, Tez. dokl. Vseross. konf., priurochennoi k 85-letiyu akademika L.V.Ovsyannikova (Novosibirsk, 10-14 maya 2004 g.), Institut Gidrodinamiki SO RAN, Novosibirsk, 2004, 39
69. Borovskikh A.V., “Uravnenie eikonala v neodnorodnoi srede”, Tez. dokl. Mezhdunar. konf., posvyaschennoi 103-letiyu so dnya rozhdeniya I.G.Petrovskogo (Moskva, 16-22 maya 2004 g.), Izd-vo MGU, Moskva, 2004, 36-37
70. Borovskikh A.V., “Eikonal equqtion for inhomogenuous medium”, Internnational seminar “Days on Diffration”. Abstracts. (S.-Peterburg, 29 iyunya – 02 iyulya 2004 g.), S.-Pb otdelenie MIRAN, S.-Peterburg, 2004, 25-26
71. Borovskikh A.V., “Uravnenie eikonala v neodnorodnoi srede”, Tez. dokl. Mezhdunar. konf. po differentsialnym uravneniyam i dinamicheskim sistemam (Suzdal, 5-10 iyulya 2004 g.), VGPU, Vladimir, 2004, 39-40

   2005
72. Borovskikh A.V., “Method of Propagating Waves for a One-Dimensional Inhomogeneous Medium”, Journal of Mathematical Sciences, 127:5 (2005), 2135-2158  crossref

   2004
73. Borovskikh A.V., “The Moving Source Phantom in Geometric Optics of Inhomogeneous Media”, Differential Equations, 40:7 (2004), 927-933  mathnet  crossref  mathscinet
74. Borovskikh A.V., “On a certain Luzin problem”, Analysis. Mathematica, 30:4 (2004), 259-287  crossref
75. Borovskikh A.V., Perov A.I., Lectures on ordinary differential equations, 1, RC “Regular and chaotic dynamics” Institute of Computer Research, Moscow-Izhevsk, 2004 , 540 pp.
76. Borovskikh A.V., Il'in V.A., Pokornyi Yu.V., ““Pontryagin Readings – XV” at Voronezh Mathematical School “Modern methods in Qualitative Theory of Boundary Value Problems””, Differential Equations, 40:11 (2004), 1665-1666  mathnet  crossref

   2003
77. A. V. Borovskikh, “Sign Regularity Conditions for Discontinuous Boundary-Value Problems”, Math. Notes, 74:5 (2003), 607–618  mathnet  crossref  crossref  mathscinet  zmath  isi
78. Pokornyi Y.V., Pryadiev V.L., Borovskikh A.V., “The wave equation on a spatial network”, Doklady Mathematics, 67:1 (2003), 10-12  mathnet
79. Borovskikh A.V., Burlutskaya M.Sh., “Ob odnoi razryvnoi zadache Yu.V.Pokornogo”, Sb. materialov shkoly “Pontryaginskie chteniya – XIV” (Voronezh, 3-9 maya 2003 g.), VGU, Voronezh, 2003, 31-32
80. Pokornyi Yu.V., Penkin O.M., Borovskikh A.V., “O neravenstvakh Puankare i Kharnaka v prostranstve funktsii vetvyaschegosya argumenta”, Tez. dokladov Mezhdunarodnoi konferentsii “Kolmogorov i sovremennaya matematika” (Moskva, 16-21 iyunya 2003 g.), Izd-vo MGU, Moskva, 2003, 331-332
81. Borovskikh A.V., “Illusion of the moving source in geometric optics of non-homogeneous medium”, International Seminar “Days on Diffraction”. Abstracts. (S.-Peterburg, 24-27 iyunya 2003 g.), S.-Pb otdelenie MIRAN, S.-Peterburg, 2003, 17
82. Borovskikh A.V., “The eiconal equation in an inhomogeneous medium”, Doklady Mathematics, 68:1 (2003), 103-106  mathnet

   2005
83. Borovskikh A.V., “Group Classification of Eikonal Equations for the Wave Equation in Inhomogeneous Media”, Journal of Mathematical Sciences, 129:1 (2005), 3537-3549  crossref

   2003
84. P. L. Ul'yanov, Yu. V. Pokornyi, A. V. Borovskikh, “Contemporary methods in theory of functions and adjacent problems”, Uspekhi Mat. Nauk, 58:4(352) (2003), 177–178  mathnet  crossref  mathscinet
85. Il'in V.A., Pokornyi Yu.V., Borovskikh A.V., ““Pontryagin Readings – XIV” at Voronezh Mathematical School “Modern methods in Qualitative Theory of Boundary Value Problems””, Differential Equations, 39:11 (2003), 1661-1662  mathnet  crossref
86. V. A. Il'in, Yu. V. Pokorny, A. V. Borovskikh, Differ. Uravn., 39:11 (2003), 1574  mathnet

   2002
87. Borovskikh A.V., “Summirovanie primera Feiera v poryadke ubyvaniya koeffitsientov”, Tez. dokl. shkoly “Sovremennye problemy teorii funktsii i ikh prilozheniya” (Saratov, 27 yanvarya – 3 fevralya 2002 g.), Saratovskii gosuniversitet, Saratov, 2002, 36
88. Borovskikh A.V., Lazarev K.P., “Printsip maksimuma dlya differentsialnykh uravnenii chetvertogo poryadka na grafakh”, Tez. dokl. shkoly “Sovremennye problemy teorii funktsii i ikh prilozheniya” (Saratov, 27 yanvarya – 3 fevralya 2002 g.), Saratovskii gosuniversitet, Saratov, 2002, 37
89. Borovskikh A.V., “Uravnenie eikonala v neodnorodnoi srede”, Sb. materialov shkoly “Pontryaginskie chteniya – XIII” (Voronezh, 3-9 maya 2002 g.), VGU, Voronezh, 2002, 25
90. Borovskikh A.V., Lazarev K.P., “Metod reduktsii dlya kraevykh zadach na grafe”, Sb. materialov shkoly “Pontryaginskie chteniya – XIII” (Voronezh, 3-9 maya 2002 g.), VGU, Voronezh, 2002, 26
91. Bachurina L.A., Borovskikh A.V., “Kompyuter kak instrument professionalnoi deyatelnosti uchitelya”, Informatizatsiya uchebnogo protsessa i upravleniya obrazovaniem. Setevye i internet-tekhnologii: materialy vtoroi region. konf. (Voronezh, 27 maya 2002 g.), VOIKPRO, Voronezh, 2002, 17-18
92. Borovskikh A.V., Gruppovaya klassifikatsiya uravnenii eikonala dlya volnovogo uravneniya v neodnorodnoi srede, Dep. v VINITI 29.05.2002, N 953-V2002., VINITI, Moskva, 2002 , 143 pp.
93. Borovskikh A.V., “A Traveling Wave Formula in a One-Dimensional Inhomogeneous Medium”, Differential Equations, 38:6 (2002), 796-807  mathnet  crossref  mathscinet
94. Borovskikh A.V., “Group classification of eikonal equation for an inhomogeneous medium”, Differential Equations, 38:11 (2002), 1669-1670
95. Borovskikh A.V., “Geomerty of fronts and rays in a medium with linear and quadratic velocity function”, Differential Equations, 38:11 (2002), 1673
96. Borovskikh A.V., “Application of constructive non-standard analysis to investigation of a system of connected Van-der-Pol equations”, Differential Equations, 38:11 (2002), 1678-1679
97. Pokornyi Yu.V., Borovskikh A.V., “On defects of axiomatics of Green's function”, Doklady Mathematics, 65:3 (2002), 399-403  mathnet
98. Borovskikh A.V., “Gruppovaya klassifikatsiya uravnenii eikonala dlya volnovogo uravneniya v neodnorodnoi srede”, Mezhdunarodnaya konferentsiya po differentsialnym uravneniyam i dinamicheskim sistemam. Tez. dokl. (Suzdal, 1-6 iyulya 2002 g.), VlGU, Vladimir, 2002, 38-39

   2004
99. Pokornyi Yu.V., Borovskikh A.V., “Differential equations on networks (geometrical graphs)”, Journal of Mathematical Sciences, 119:6 (2004), 691-718  crossref
100. Borovskikh A.V., Lazarev K.P., “Differential equations of the forth order on geometrical graphs”, Journal of Mathematical Sciences, 119:6 (2004), 719-738  crossref
101. Pokornyi Yu.V., Borovskikh A.V., “Connection between the Green's function and the influence function for the non-classical problems”, Journal of Mathematical Sciences, 119:6 (2004), 739-768  crossref

   2001
102. Borovskikh A.V., “Rasprostranenie voln v odnomernoi neodnorodnoi srede”, Tez. dokl. shkoly “Sovremennye metody teorii funktsii i smezhnye problemy” (Voronezh, 27 yanvarya – 4 fevralya 2001 g.), VGU, Voronezh, 2001, 50-51
103. Borovskikh A.V., “Konstruktivnyi nestandartnyi analiz”, Analiticheskie i chislennye metody v matematike i mekhanike. Tr. XXII konf. molodykh uchenykh mekh.-mat. f-ta MGU. (Moskva, 17-22 aprelya 2000 g.), izd-voMGU, Moskva, 2001, 28-31
104. Borovskikh A.V., “Volny v odnomernoi neodnorodnoi srede”, Sovremennye metody v teorii kraevykh zadach. “Pontryaginskie chteniya - XII”. Tez. dokl. shkoly. (Voronezh, 3-9 maya 2001 g.), VGU, Voronezh, 2001, 34-35
105. Borovskikh A.V., “Formula rasprostranyayuschikhsya voln dlya odnomernoi sredy”, Mezhdunarodnaya konferentsiya, posvyaschennaya 100-letiyu so dnya rozhdeniya I.G.Petrovskogo. Tez. dokl. (Moskva, 22-27 maya 2001 g.), Izd-vo MGU, Moskva, 2001, 72-73
106. Borovskikh A.V., “Wave propagation in one-dimensional inhomogeneous medium”, Differential Equations, 37:6 (2001), 902
107. Yu. V. Pokornyi, P. L. Ul'yanov, A. V. Borovskikh, “Voronezh Winter Mathematical School “Modern Methods in Theory of Functions and Adjacent Problems””, Uspekhi Mat. Nauk, 56:4(340) (2001), 185–186  mathnet  crossref

   2000
108. Pokornyi Yu.V., Borovskikh A.V., Shatalov S.S., “O nekorrektnosti traditsii v prosteishem volnovom uravnenii”, Tez. dokl. shkoly “Matematicheskoe modelirovanie v estestvennykh i gumanitarnykh naukakh” (Voronezh, 20-27 yanvarya 2000 g.), VGU, Voronezh, 2000, 176
109. Borovskikh A.V., “Formula rasprostraneniya volny v odnomernoi neodnorodnoi srede”, Trudy VVMSh “Pontryaginskie chteniya - XI”. Chast II. (Voronezh, 3-9 maya 2000 g.), VGU, Voronezh, 2000, 36-40
110. Borovskikh A.V., Kolmykov V.A., “Orientirovannaya mera i integral na grafakh”, Trudy VVMSh “Pontryaginskie chteniya - XI”. Chast II. (Voronezh, 3-9 maya 2000 g.), VGU, Voronezh, 2000, 41-46
111. Borovskikh A.V., “Elements of constructive non-standard analysis”, Differential Equations, 36:11 (2000), 1727-1728
112. Borovskikh A.V., Analiz beskonechno malykh velichin. Ch. I. Arifmetika, algebra, funktsii, printsip formalnoi invariantnosti, Dep. v VINITI. 13.12.00, N 3133-V00., VINITI, Moskva, 2000 , 87 pp.
113. Borovskikh A.V., Rasprostranenie voln v odnomernoi neodnorodnoi srede, Dep. v VINITI 13.12.00, N 3134-V00., VINITI, Moskva, 2000 , 52 pp.
114. P. L. Ul'yanov, Yu. V. Pokornyi, A. V. Borovskikh, ““Modern Methods in Theory of Functions and Adjacent Problems” on Voronezh Winter Mathematical School”, Uspekhi Mat. Nauk, 55:2(332) (2000), 189–190  mathnet  crossref

   1999
115. Pryadiev V.L., Kopytin A.V., Borovskikh A.V., “K voprosu o periodichnosti kolebanii uprugikh setok”, Tez. dokl. shkoly “Pontryaginskie chteniya - X” (Voronezh, 3-9 maya 1999 g.), VGU, Voronezh, 1999, 198
116. Borovskikh A.V., “Reduktsiya uravneniya chetvertogo poryadka s dvumya kraevymi usloviyami k uravneniyu vtorogo poryadka”, Tez. dokl. shkoly “Pontryaginskie chteniya - X” (Voronezh, 3-9 maya 1999 g.), VGU, Voronezh, 1999, 282
117. Borovskikh A.V., Kopytin A.V., “O rasprostranenii voln po seti”, Sb. statei aspirantov i studentov matem. f-ta VGU, Voronezh. gos. un-t, Voronezh, 1999, 21-25
118. Borovskikh A.V., “Printsip maksimuma dlya differentsialnykh uravnenii chetvertogo poryadka na otrezke i na seti”, Differentsialnye uravneniya, 35:11 (1999), 1573  mathnet
119. Pokorny Yu.V., Pokrovsky A.N., Borovskikh A.V., Pryadiev V.L., “Dependence of Intracellular Potentials on Ramification of Dendrites”, Mechanisms of Adaptive Behaviour: Int. Symp. Dedicated to Academician Ivan Pavlov's 150 anniversary (S.-Peterburg, 7-9 dekabrya 1999 g.), RAN, S.-Peterburg, 1999, 140

   1998
120. Borovskikh A.V., “O vydelenii maksimalnykh koeffitsientov v ryadu Fure”, Tez. dokl. shkoly “Sovremennye metody teorii funktsii i ikh prilozheniya” (Saratov, 26 yanvarya – 1 fevralya 1998 g..), Izd-vo Saratovskogo un-ta, Saratov, 1998, 27
121. Pokornyi Yu.V., Borovskikh A.V., Shabrov S.A., “O koleblemosti uravnenii s obobschennymi koeffitsientami”, Tez.dokl. mezhdunar. konferentsii “Differentsialnye uravneniya i ikh prilozheniya” (S.-Peterburg, 15-20 iyunya 1998 g.), SPbGTU, S.-Peterburg, 1998, 145
122. Pokornyi Yu.V., Pryadiev V.L., Borovskikh A.V., Pokrovskii A.N., “Uravneniya elektricheskogo polya dendrita nervnoi kletki”, Tez.dokl. mezhdunar. konferentsii “Differentsialnye uravneniya i ikh prilozheniya” (S.-Peterburg, 15-20 iyunya 1998 g.), SPbGTU, S.-Peterburg, 1998, 198

   1996
123. Borovskikh A.V., “O vydelenii osobennostei s pomoschyu ryadov Fure”, "Sovremennye metody teorii funktsii i ikh prilozheniya": Tez. dokl. VIII Saratovskoi zimnei shkoly (Saratov, 30 yanvarya – 6 fevralya 1996 g.), Saratovskii universitet, Saratov, 1996, 20
124. Pokornyi Yu.V., Borovskikh A.V., “O nelokalnykh zadachakh so svoistvami Shturma”, Tez.dokl. mezhdunar. konferentsii “Differentsialnye uravneniya i ikh prilozheniya” (S.-Peterburg, 3-5 dekabrya 1996 g.), SPbGTU, S.-Peterburg, 1996, 172
125. Pokornyi Yu.V., Borovskikh A.V., “O nelokalnykh odnomernykh zadachakh, voznikayuschikh iz uravnenii na grafakh”, Trudy matem. f-ta, # 1 (novaya seriya), Voronezh. un-t, Voronezh, 1996, 72-76
126. Astakhova I.F., Borovskikh A.V., Podbolotov B.N., Semykina T.D., SUBD dlya personalnykh kompyuterov, Metod. ukazaniya dlya studentov 3 kursa. Voronezh. un-t. Voronezh, 24 s., 1996
127. Astakhova I.F., Borovskikh A.V., Podbolotov B.N., Lektsii pro FoxPro, Izd-vo TOO MP “Elist”, Voronezh, 1996 , 199 pp.
128. Borovskikh A.V., Fedotenko G.F., Reshenie obyknovennykh differentsialnykh uravnenii, Metodich. ukazaniya / Voronezh. un-t. Voronezh, 32 s., 1996

   1995
129. A. V. Borovskikh, K. P. Lazarev, Yu. V. Pokornyi, “On the Kellogg kernels in discontinuous problems”, Proc. Steklov Inst. Math., 211 (1995), 92–108  mathnet  mathscinet  zmath
130. Borovskikh A.V., “Ob ekstremumakh razryvnykh sistem Chebysheva i Markova”, Tez. dokl. shkoly “Sovremennye metody teorii funktsii i smezhnye problemy prikladnoi matematiki i mekhaniki” (Voronezh, 25 yanvarya – 1 fevralya 1995 g.), VGU, Voronezh, 1995, 48
131. Borovskikh A.V., Kolmykov V.A., “Integrirovanie po diskretnym meram na grafakh”, Tez. dokl. shkoly “Sovremennye metody teorii funktsii i smezhnye problemy prikladnoi matematiki i mekhaniki” (Voronezh, 25 yanvarya – 1 fevralya 1995 g.), VGU, Voronezh, 1995, 49
132. Borovskikh A.V., “Ob usloviyakh tipa Kalafati, obespechivayuschikh znakoregulyarnost razryvnykh kraevykh zadach”, Tez.dokl. shkoly “Pontryaginskie chteniya - VI” (Voronezh, 20-26 aprelya 1995 g.), VGU, Voronezh, 1995, 14
133. Borovskikh A.V., Kolmykov V.A., “Stroenie regulyarnykh diskretnykh mer na grafakh”, Tez. dokl. shkoly “Pontryaginskie chteniya - VI” (Voronezh, 20-26 aprelya 1995 g.), VGU, Voronezh, 1995, 15
134. Kolmykov V.A., Borovskikh A.V., “Sopryazhennyi gomomorfizm grafov kak operator v prostranstve mer”, Tez. dokl. konferentsii “Sovremennye metody nelineinogo analiza” (Voronezh, 26-29 aprelya 1995 g.), VGU, Voronezh, 1995, 53-54
135. Pokornyi Yu.V., Borovskikh A.V., “Differentsirovanie vdol sistemy Chebysheva”, Tez. dokl. Mezhdun. konfer. “Funktsionalnye prostranstva, teoriya priblizhenii, nelineinyi analiz”, posv. 90-letiyu akad. S.M.Nikolskogo (Moskva, 27 aprelya – 3 maya 1995.), MIAN, Moskva, 1995, 220-222
136. Pokornyi Yu.V., Borovskikh A.V., Lazarev K.P., “Kachestvennye spektralnye svoistva mnogotochechnykh kraevykh zadach”, Differentsialnye uravneniya, 31:5 (1995), 907-908
137. Borovskikh A.V., Burlutskaya M.Sh., “O differentsirovanii i integrirovanii po mere na abstraktnykh lineinykh kontinuumakh i o kvazichislakh”, Tez.dokl. II mezhdun. konferentsii “Algebraicheskie, veroyatnostnye, geometricheskie, kombinatornye i funktsionalnye metody v teorii chisel” (Voronezh, 25-30 sentyabrya 1995 g.), VGU, Voronezh, 1995, 25
138. Borovskikh A.V., Mustafokulov R., Lazarev K.P., Pokornyi Yu.V., “A class of fourth-order differential equations on a spatial net”, Doklady Mathematics, 52:3 (1995), 433-435
139. Borovskikh A.V., Norton Commander, Metod. ukazaniya / Voronezh. un-t. Voronezh, 32 s., 1995

   1994
140. A. V. Borovskikh, Yu. V. Pokornyi, “Chebyshev–Haar systems in the theory of discontinuous Kellogg kernels”, Russian Math. Surveys, 49:3 (1994), 1–42  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)
141. Borovskikh A.V., Lazarev K.P., “Matematicheskaya model sterzhnevoi sistemy”, Tez.dokl. shkoly “Sovremennye problemy mekhaniki i matematicheskoi fiziki” (Voronezh, 21-28 yanvarya 1994 g..), VGU, Voronezh, 1994, 17
142. Borovskikh A.V., “O teoreme Merkhyubera, sistemakh Khaara, neostsillyatsii differentsialnykh uravnenii i variatsionnykh zadachakh”, Tez.dokl. XXVI Voronezhskoi Zimnei Matematicheskoi Shkoly (Voronezh, 28 yanvarya – 3 fevralya 1994 g.), VGU, Voronezh, 1994, 29
143. Borovskikh A.V., Lazarev K.P., Pokornyi Yu.V., “On oscillation spectral properties of discontinuous boundary value problems”, Russian Acad. Sci. Dokl. Math., 49:2 (1994), 328-333  mathnet
144. Pokornyi Yu.V., Borovskikh A.V., Lazarev K.P., “O teorii yader Kelloga dlya razryvnykh funktsii Grina”, Fund. problemy matematiki i mekhaniki (Programma "Universitety Rossii"). Matematika, eds. koll.: A.N.Tikhonov, V.A.Sadovnichii, Yu.L.Ershov i dr., Izd-vo Mosk. un-ta, Moskva, 1994, 58-60

   1993
145. Yu. V. Pokornyi, A. V. Borovskikh, “On the Kellogg theorem for discontinuous Green functions”, Math. Notes, 53:1 (1993), 110–111  mathnet  crossref  mathscinet  zmath  isi
146. Pokornyi Yu.V., Lazarev K.P., Borovskikh A.V., “O $\delta$-regulyarnosti nekotorykh nestandartnykh zadach”, Tez. dokl. shkoly “Teoriya funktsii. Differentsialnye uravneniya v matematicheskom modelirovanii” (Voronezh, 25 yanvarya – 3 fevralya 1993 g.), VGU, Voronezh, 1993, 104
147. Pokornyi Yu.V., Borovskikh A.V., “O sisteme Khaara na geometricheskom grafe”, Tez.dokl.shkoly “Pontryaginskie chteniya-IV” (Voronezh, 3-8 maya 1993 g.), VGU, Voronezh, 1993, 150

   1992
148. Pokornyi Yu.V., Borovskikh A.V., “O teoreme Kelloga dlya kusochno-nepreryvnykh yader”, Tez.dokl. shkoly “Sovremennye metody v teorii kraevykh zadach” (Voronezh, 4-8 maya 1992 g.), VGU, Voronezh, 1992, 87

   1991
149. Pokornyi Yu.V., Borovskikh A.V., Shurupova I.Yu., “O garmonicheskom spektre dlya integralnykh operatorov s razryvnymi yadrami”, “Razryvnye dinamicheskie sistemy”. Sb. dokladov shkoly-seminara. (Uzhgorod, 17-20 sentyabrya 1991 g.), AN USSR, Kiev, 1991, 41
150. Borovskikh A.V., “O spektre nekotorykh kusochno-regulyarnykh kraevykh zadach”, Tez.dokl. III Vses.konf. “Novye podkhody k resheniyu differentsialnykh uravnenii” (Drogobych, 17-21 iyunya 1991 g..), VTs AN SSSR, Moskva, 1991, 17

   1990
151. Borovskikh A.V., “Ob odnom svoistve funktsii Grina”, Tez.dokl. konf. “Razryvnye dinamicheskie sistemy” (Kiev, 16-18 maya 1989 g.), In-t kibernetiki AN USSR, Kiev, 1990, 6
152. Borovskikh A.V., Kraevye zadachi s osobennostyami, Diss. ... kand. fiz.-mat. nauk. 01.01.02 - Differentsialnye uravneniya., VGU, Voronezh, 1990 , 144 pp.
153. Borovskikh A.V., Smagina T.I., Tananika A.A., Fedotenko G.F., Zadaniya dlya samostoyatelnoi raboty studentov po differentsialnym uravneniyam, Metod. ukazaniya / Voronezh. un-t. Voronezh, 16 s., 1990

   1989
154. Borovskikh A.V., O spektre integralnykh operatorov s razryvnymi ostsillyatsionnymi yadrami, Voronezh. un-t. Voronezh / Dep. v VINITI 15.03.89, N 1684-V89., VINITI, Moskva, 1989 , 26 pp.
155. Borovskikh A.V., “Ob ostsillyatsionnykh svoistvakh spektra nekotorykh razryvnykh kraevykh zadach”, Tez.dokl. XIV shkoly po teorii operatorov v funktsionalnykh prostranstvakh (Novgorod, 6-14 sentyabrya 1989 g.), 1, NGPI, 1989, 32

   1988
156. Borovskikh A.V., O spektre singulyarnykh differentsialnykh operatorov, Voronezh. un-t. Voronezh / Dep. v VINITI 4.07.88, N 5379-V88., VINITI, Moskva, 1988 , 28 pp.
157. Pokornyi Yu.V., Borovskikh A.V., “Ob ostsillyatsionnosti spektra zadach na nekompaktnom intervale”, Problemy sovr.teorii periodich.dvizhenii, 1988, no. 9, 21-30 (Izhevsk)
158. Borovskikh A.V., “O spektre singulyarnogo differentsialnogo operatora”, Tez.dokl. XIII Vsesoyuznoi shkoly po teorii operatorov v funktsionalnykh prostranstvakh (Kuibyshev, 6-13 oktyabrya 1988 g.), KGU, 1988, 33

   1986
159. Pokornyi Yu.V., Borovskikh A.V., “O needinstvennosti trivialnogo resheniya dlya nekotorykh odnorodnykh zadach Koshi”, “Funktsionalno-differentsialnye uravneniya i ikh prilozheniya”, Tez.dokl. pervoi Sev.-Kavk. region. konf. (Makhachkala, 27-30 maya 1986), Dagestanskii GU, Makhachkala, 1986, 15

   1985
160. Borovskikh A.V., Pryadiev V.L., Analog zadachi Emdena dlya singulyarnogo sluchaya, Voronezh. un-t. Voronezh / Dep. v VINITI 25.12.85, # 8801-V, VINITI, Moskva, 1985 , 11 pp.

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