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Borovskikh, Aleksey Vladislavovich

Total publications: 160 (133)
in MathSciNet: 34 (28)
in zbMATH: 24 (24)
in Web of Science: 8 (8)
in Scopus: 19 (19)
Cited articles: 24
Citations in Math-Net.Ru: 77
Citations in Web of Science: 15
Citations in Scopus: 40

Number of views:
This page:2068
Abstract pages:4705
Full texts:1805
References:286
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
https://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-7875-2012
https://www.scopus.com/authid/detail.url?authorId=6603548377

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



   2020
1. K. S. Platonova, A. V. Borovskikh, “Group analysis of the Boltzmann and Vlasov equations”, Theoret. and Math. Phys., 203:3 (2020), 794–823  mathnet  crossref  crossref  isi  scopus

   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  mathscinet  adsnasa  isi  elib  scopus (cited: 1)

   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: 2)

   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

   2010
19. 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
20. Borovskikh A.V., Rozov N.Kh., “Deyatelnostnye printsipy i pedagogicheskaya logika”, Pedagogika, 2010, no. 8, 10-19  elib (cited: 16)
21. Borovskikh A.V.,Rozov N.Kh, “Activity” principles in pedagogy and pedagogical logics, MAKS Press, Moscow, 2010 , 80 pp.
22. Borovskikh A.V., “Group analysis of anisotropic eikonal equation”, Differential Equations, 46:11 (2010), 1665  crossref
23. Borovskikh A.V., Khalilov A.M., “Van-der-Pol equation with peace-linear kharacteristics of non-linear element”, Differential Equations, 46:11 (2010), 1671
24. 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
25. 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

   2009
26. 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
27. 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
28. 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/
29. 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
30. Borovskikh A.V., “Eikonal equations for an inhomogeneous anisotropic medium”, Journal of Mathematical Sciences, 164:6 (2010), 859-880  crossref  mathscinet  zmath  scopus (cited: 1)

   2008
31. Borovskikh A.V., Rozov N.Kh., “Pragmatizm kak metodologicheskii printsip v pedagogike”, Pedagogika, 2008, no. 8, 3-8  elib (cited: 8)
32. 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

   2007
33. Borovskikh A.V., “Formulas of boundary control of an inhomogeneous string: I”, Differential Equations, 43:1 (2007), 69-95  crossref  mathscinet  zmath  elib (cited: 2)  elib (cited: 2)  scopus (cited: 5)
34. Borovskikh A.V., “Formulas of boundary control of an inhomogeneous string: II”, Differential Equations, 43:5 (2007), 656-666  crossref  mathscinet  zmath  elib (cited: 2)  elib (cited: 2)  scopus (cited: 3)
35. 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
36. 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
37. Borovskikh A.V., Reikhani E., Rozov N.Kh., “Uzly v shkole”, Teoriya i praktika innovatsionnoi deyatelnosti v obrazovanii, MAKS Press, Moskva, 2007, 47-62
38. Borovskikh A.V., “Pole giperdeistvitelnykh velichin i odno ego prilozhenie”, Chernozemnyi almanakh nauchnykh issledovanii, Seriya “Fundamentalnaya matematika”, 1(5), VGU, Voronezh, 2007, 42-73
39. Borovskikh A.V., “Psikhologicheskaya pentagramma”, Trudy konferentsii “Lomonosovskie chteniya”, 5, MAKS Press, Moskva, 2007, 11-14

   2006
40. A. V. Borovskikh, “The two-dimensional eikonal equation”, Siberian Math. J., 47:5 (2006), 813–834  mathnet  crossref  mathscinet  zmath  isi (cited: 5)  elib (cited: 9)  elib (cited: 9)  scopus (cited: 18)
41. Borovskikh A.V., “Equivalence groups of eikonal equation and classes of equivalent equations”, Bulletin of NSU, 2006, no. 4, 3-42  zmath
42. Borovskikh A.V., Rasprostranenie voln v neodnorodnoi srede, Diss.…doktora fiz.-mat. nauk. 01.01.02 – Differentsialnye uravneniya., MGU, Moskva, 2006 , 300 pp.
43. 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
44. 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  mathscinet  elib  scopus
45. Borovskikh A.V., “Group analysis of the two-dimentional eikonal equation”, Differential equations, 41:6 (2005), 899  mathscinet
46. Borovskikh A.V., “Explicit solutions of two-dimentional eikonal equations”, Differential equations, 41:6 (2005), 906-907  mathscinet

   2004
47. 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)
48. 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.
49. Borovskikh A.V., “Uravnenie eikonala v neodnorodnoi srede”, Tez. dokl. VZMSh-2004 (Voronezh, 24-28 yanvarya 2004 g.), VorGU, Voronezh, 2004, 26-27
50. 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
51. 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  zmath  scopus (cited: 1)
52. 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  zmath  scopus (cited: 1)
53. 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
54. 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
55. 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
56. 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
57. Borovskikh A.V., “Method of Propagating Waves for a One-Dimensional Inhomogeneous Medium”, Journal of Mathematical Sciences, 127:5 (2005), 2135-2158  crossref  mathscinet  zmath  scopus (cited: 2)

   2004
58. Borovskikh A.V., “The Moving Source Phantom in Geometric Optics of Inhomogeneous Media”, Differential Equations, 40:7 (2004), 927-933  mathnet  crossref  mathscinet  zmath  scopus
59. Borovskikh A.V., “On a certain Luzin problem”, Analysis. Mathematica, 30:4 (2004), 259-287  crossref  mathscinet  zmath  scopus

   2003
60. A. V. Borovskikh, “Sign Regularity Conditions for Discontinuous Boundary-Value Problems”, Math. Notes, 74:5 (2003), 607–618  mathnet  crossref  crossref  mathscinet  zmath  isi
61. Pokornyi Y.V., Pryadiev V.L., Borovskikh A.V., “The wave equation on a spatial network”, Doklady Mathematics, 67:1 (2003), 10-12  mathnet  mathscinet  zmath
62. 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
63. 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
64. 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
65. Borovskikh A.V., “The eiconal equation in an inhomogeneous medium”, Doklady Mathematics, 68:1 (2003), 103-106  mathnet  mathscinet  zmath

   2005
66. 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  mathscinet  scopus

   2002
67. 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
68. 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
69. Borovskikh A.V., “Uravnenie eikonala v neodnorodnoi srede”, Sb. materialov shkoly “Pontryaginskie chteniya – XIII” (Voronezh, 3-9 maya 2002 g.), VGU, Voronezh, 2002, 25
70. 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
71. 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
72. 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.
73. Borovskikh A.V., “A Traveling Wave Formula in a One-Dimensional Inhomogeneous Medium”, Differential Equations, 38:6 (2002), 796-807  mathnet  crossref  mathscinet  zmath  scopus
74. Borovskikh A.V., “Group classification of eikonal equation for an inhomogeneous medium”, Differential Equations, 38:11 (2002), 1669-1670  mathscinet
75. Borovskikh A.V., “Geomerty of fronts and rays in a medium with linear and quadratic velocity function”, Differential Equations, 38:11 (2002), 1673  mathscinet
76. 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  mathscinet
77. Pokornyi Yu.V., Borovskikh A.V., “On defects of axiomatics of Green's function”, Doklady Mathematics, 65:3 (2002), 399-403  mathnet  mathscinet  zmath
78. 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
79. Pokornyi Yu.V., Borovskikh A.V., “Differential equations on networks (geometrical graphs)”, Journal of Mathematical Sciences, 119:6 (2004), 691-718  crossref  mathscinet  zmath
80. 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  mathscinet  zmath
81. 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  mathscinet  zmath

   2001
82. 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
83. 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
84. 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
85. 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
86. Borovskikh A.V., “Wave propagation in one-dimensional inhomogeneous medium”, Differential Equations, 37:6 (2001), 902  mathscinet  mathscinet

   2000
87. 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
88. 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
89. 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
90. Borovskikh A.V., “Elements of constructive non-standard analysis”, Differential Equations, 36:11 (2000), 1727-1728
91. 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.
92. Borovskikh A.V., Rasprostranenie voln v odnomernoi neodnorodnoi srede, Dep. v VINITI 13.12.00, N 3134-V00., VINITI, Moskva, 2000 , 52 pp.

   1999
93. 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
94. 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
95. 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
96. Borovskikh A.V., “Printsip maksimuma dlya differentsialnykh uravnenii chetvertogo poryadka na otrezke i na seti”, Differentsialnye uravneniya, 35:11 (1999), 1573  mathnet  mathscinet
97. 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
98. 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
99. 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
100. 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
101. 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
102. 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
103. 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

   1995
104. 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
105. 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
106. 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
107. 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
108. 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
109. 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
110. 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
111. Pokornyi Yu.V., Borovskikh A.V., Lazarev K.P., “Kachestvennye spektralnye svoistva mnogotochechnykh kraevykh zadach”, Differentsialnye uravneniya, 31:5 (1995), 907-908
112. 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
113. 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  mathnet  mathscinet  zmath

   1994
114. 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)  scopus (cited: 3)
115. 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
116. 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
117. 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  mathscinet  zmath
118. 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
119. 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  scopus
120. 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
121. 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
122. 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
123. 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
124. 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
125. 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
126. Borovskikh A.V., Kraevye zadachi s osobennostyami, Diss. ... kand. fiz.-mat. nauk. 01.01.02 - Differentsialnye uravneniya., VGU, Voronezh, 1990 , 144 pp.

   1989
127. 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.
128. 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
129. 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.
130. Pokornyi Yu.V., Borovskikh A.V., “Ob ostsillyatsionnosti spektra zadach na nekompaktnom intervale”, Problemy sovr.teorii periodich.dvizhenii, 1988, no. 9, 21-30 (Izhevsk)
131. 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
132. 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
133. 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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