Ways of development of mathematical analysis at Tula State Lev Tolstoy Pedagogical University (to the 70th anniversary of the formation of the Department of Mathematical Analysis)

I. V. Denisov

Čebyševskij sbornik, Tome 22 (2021) no. 5, pp. 270-306.

Résumé

In the fall of 1938, the Tula State Pedagogical Institute (later renamed the L. N. Tolstoy Tula State Pedagogical University) was organized. The staff of the institute consisted of invited teachers from other cities. This circumstance determined the entire educational process, since the disciplines were read in compressed blocks and in a short time. One of the three faculties was physics and mathematics with the only department of mathematics and physics. In the fall of 1939, the faculty managed to invite young scientists-mathematicians, specialists in the field of mathematical analysis and differential equations. They were the spouses P. V. Soloviev and V. M. Gushchina. Both of them - natives of the Tula region, received their education and defended their PhD theses in Moscow. P. V. Soloviev had good scientific results and as a scientist could have created a school of mathematical analysis at the faculty, but in 1941 the war broke out, and he volunteered for the front, where he died in 1943. In 1950, two mathematical departments were separated from the Department of Mathematics and Physics, one of which was the Department of Mathematical Analysis. The first head of the Department of Mathematical Analysis was Professor S. P. Sluginov, who was in Tula on visits from Moscow, and the staff of the department consisted of 8 people. In June 1951, the department was headed by a well-known scientist in the field of the theory of functions, Doctor of Physical and Mathematical Sciences, Professor V. I. Levin. The formation of postgraduate studies at the department and faculty is associated with his name. The first graduate of the department's postgraduate studies, who successfully defended her thesis for the degree of candidate of physical and mathematical sciences, was S. N. Levina, a student of Professor V. I. Levin. The students of Professor V. I. Levin were many graduates of TSPU named after L. N. Tolstoy, who later worked at the department. In the 1960s, the scientific and pedagogical component of the Department of Mathematical Analysis was strengthened: associate professors V. I. Antropova (1964), V. I. Rybakov (1969) and A. S. Simonov (1971). Over the years, among the teachers of the department there were first-class specialists who left a noticeable mark in mathematics, but the department achieved the greatest success in the 1970s-80s. This was due to the provision of highly qualified personnel. The article traces the development of mathematical analysis at the faculty through the history of the department, as well as through the activities of its heads and teachers.

Détail

Keywords: Tula State Lev Tolstoy Pedagogical University, mathematical analysis.

Bibliographie

[1] Matematika v SSSR za tridtsat let, 1917–1947, Gostekhizdat, M., 1948, 1044 pp. | MR

[2] Matematika v SSSR za sorok let, 1917–1957, v 2 t., v. 1, Obzornye stati, Fizmatgiz, M., 1959, 1002 pp.

[3] Matematika v SSSR za sorok let, 1917–1957, v 2 t., v. 2, Biobibliografiya, Fizmatgiz, M., 1959, 821 pp.

[4] Biobibliografiya, v. 2, Matematika v SSSR 1958–1967, 2, M-Ya., Nauka, M., 1970, 762 pp.

[5] Biobibliografiya, v. 1, Matematika v SSSR 1958–1967, 2, A-L., Nauka, M., 1969, 814 pp. | MR

[6] Bazilevich I. E., Bolotovskii B. M., Godunova E. K., Markushevich A. I., “Viktor Iosifovich Levin (k shestidesyatiletiyu so dnya rozhdeniya)”, Uspekhi mat. nauk, 25:1(151) (1970), 205–210 | MR | Zbl

[7] Denisov I. V., Dobrovolskii N. M., Rebrova I. Yu., Chubarikov V. N., “K 80-letiyu Aleksandra Sergeevicha Simonova”, Chebyshevskii sbornik, 13:3(43) (2012), 111–115 | MR | Zbl

[8] Ricker W. J., “Rybakov's theorem in Frechet spaces and completeness of $L_1$-spaces”, Austral. Math. Soc. (Series A), 1998, no. 64, 247–252 | DOI | MR | Zbl

[9] Fernandez A., Naranjo F., “Rybakov's theorem for vector measures in Frechet spaces”, Indag. Math. (New Series), 1997, no. 8, 33–42 | DOI | MR | Zbl

[10] Don H. Tucker, Hugh B. Maynard (eds.), Vector and Operator Valued Measures and Applications, Department of Mathematics, University of Utah, Salt Lake City, Utah, 1973, 474 pp.

[11] “Vector Measures and Control Systems”, Notas de Matematica (58), North-Holland Mathematics Studies, 20, 1975, 169 | DOI | MR

[12] Handbook of Measure Theory, v. I, 2002, 249

[13] Solovev P. V., “Fonctions de Green des Equations Paraboliques”, Comptes Rendus (Doklady) de l'Academie des Sciences de l'URSS, XXIV:2 (1939), 107–109 | MR | Zbl

[14] Solovev P. V., “O periodicheskikh resheniyakh nekotorykh lineinykh uravnenii chetvertogo poryadka”, Dokl. AN SSSR, 25 (1939), 729–732

[15] Solovev P. V., “Reshenie uravnenii ellipticheskogo i parabolicheskogo tipa dlya malykh oblastei”, Matem. sb., 5(47) (1939), 473–486 | Zbl

[16] Solovev P. V., “Reshenie parabolicheskogo uravneniya s peremennymi koeffitsientami”, Uchen. zap. un-ta, 1939, no. 15, 81–94

[17] Solovev P. V., “Nekotorye zamechaniya o periodicheskikh resheniyakh nelineinykh uravnenii giperbolicheskogo tipa”, Izvestiya AN SSSR. Otdelenie matematicheskikh i estestvennykh nauk. Seriya matematicheskaya, 1939, 149–164

[18] Solovev P. V., “Ob odnoi granichnoi zadache v teorii analiticheskikh funktsii”, Dokl. AN SSSR, 33 (1941), 190–192

[19] Sluginov S. P., Teoriya radikalov, Tipo-lit. N. M. Chizhovoi, Kazan, 1910, 20 pp.

[20] Sluginov S. P., «Nouvelles annalles de matematiques» dirige par C.-A. Laisant, C. Bourlet, R. Bricard. Paris. 1913, Retsenziya, Tsentr. tipografiya, Kazan, 1914, 10 pp.

[21] Sluginov S. P., Proportsii i progressii, Tipo-lit. N. M. Chizhovoi, Kazan, 1910, 37 pp.

[22] Sluginov S. P., O. M. Suvorov: Biog. ocherk, Tipo-lit. Imp. un-ta, Kazan, 1912, 4 pp.

[23] Sluginov S. P., Krivolineinye integraly i ikh razvitie, Tipo-lit. Un-ta, Kazan, 1912, 30 pp.

[24] Sluginov S. P., Smeshannye algebraicheskie zadachi: Povtorit. kurs vsekh otd. algebry dlya uchenikov 7 i 8 kl. gimnazii i 6 kl. real. uch-sch, Kazan. ped. muzei, Kazan, 1912, 146 pp.

[25] Sluginov S. P., Funktsionalnoe ischislenie, Tipo-lit. Imp. un-ta, Kazan, 1913, 22 pp.

[26] Sluginov S. P., Osnovy teorii chisel: Lektsii, chit. v Kazan. un-te, V. F. Markelov i V. A. Sharonov, Kazan, 1913, 150 pp.

[27] Sluginov S. P., Primenenie printsipa algebraicheskoi vzaimnosti v teorii drobei i teorii radikalov, Tsentr. tip., Kazan, 1914, 8 pp.

[28] Sluginov S. P., Teoriya analiticheskikh funktsii, tipo-lit. Imp. un-ta, Kazan, 1914, 175 pp.

[29] Sluginov S. P., Fizionistskoe techenie v geometrii, Dokl., chit. v zasedanii Fiz.-mat. komis. 4 okt 1913 g., tipo-lit. Imp. un-ta, Kazan, 1914, 16 pp.

[30] Sluginov S. P., Otzyv o rabote Ya. M. Shatunovskogo «Der grosste gemeinschaftliche teiler von algebraischen zahlen zweiter ordnung negativer diskkriminante und die zerkegung dieser zahlen in primfaktoren». (Obschii naibolshii delitel algebraicheskikh chisel 2-go poryadka s otritsatelnym diskriminantom i razlozhenie etikh chisel na pervonachalnykh mnozhitelei). Leipzig 1912 g., Tipo-lit. Imp. un-ta, Kazan, 1915, 8 pp.

[31] Sluginov S. P., Ob aksiomakh geometrii, Tsentr. tip., Kazan, 1916, 16 pp.

[32] Sluginov S. P., Osnovnoi kurs vysshei algebry, v. 1, tipo-lit. Imp. un-ta, Kazan, 1916 | MR

[33] Sluginov S. P., Vazhneishie teoremy metricheskoi geometrii i ikh svyaz mezhdu soboyu. Osnovaniya ploskoi trigonometrii, Tip. Sovnarkhoza, Samara, 1922, 8 pp.

[34] Sluginov S. P., Vazhneishie teoremy metricheskoi geometrii i ikh svyaz mezhdu soboyu, Tip. Sovnarkhoza, Samara, 1922, 8 pp.

[35] Sluginov S. P., “Nekotorye prilozheniya teorii analiticheskikh funktsii”, Osnovnoi kurs vysshei algebry, gl. 3, v. 2, Sam. gos. un-t, Samara, 1923, 83–118

[36] Sluginov S. P., Lektsii po vvedeniyu v analiz, Perm, 1924, 227 pp.

[37] Sluginov S. P., Nachala matematicheskogo analiza, Izd-vo Gosprossnaba, Perm, 1925

[38] Sluginov S. P., D. N. Zeiliger, professor mekhaniki Kazanskogo gosudarstvennogo universiteta: (Po povodu 40-letiya ego uchenoi, pedagogicheskoi i obschestvennoi deyatelnosti), tip. «Permpromkombinata», Perm, 1927, 6 pp.

[39] Sluginov S. P., K 45-letnemu yubileyu nauchno-pedagogicheskoi deyatelnosti prof. G. K. Suslova, tip. «Permpromkombinata», Perm, 1927, 5 pp.

[40] Levin V. I., “Bemerkung zu den schlichten Abbildungen der Einheitskreises”, Jahresber DMV, 1932, no. 42, 68–70

[41] Levin V. I., “Uber die Abschnitte von Potenzreihen, welche mit ihrer ersten Ableitung im Einheitskreise beschrankt sind”, Sitzber BMG, 1933, no. 32, 53–59 | Zbl

[42] Levin V. I., “Ein Beitrag zu dem Milloux-Landauschen Satz”, Jahresber DMV, 1934, no. 44, 262–265 | Zbl

[43] Levin V. I., “Ein Beitrag zum Koeffizientenproblem der schlichten Funktionen”, Math. Z., 1934, no. 38, 306–311 | DOI | MR | Zbl

[44] Levin V. I., “Uber die Koeffizientensummen einiger Klassen von Potenzreihen”, Math. Z., 1934, no. 38, 565–590 | DOI | MR | Zbl

[45] Levin V. I., “Some remarks on the coefficients of schlicht functions”, Proc. London Math. Soc., 1935, no. 39, 467–480 | DOI | MR | Zbl

[46] Levin V. I., “On some integral inequalities involving periodic functions”, J. London Math. Soc., 1935, no. 10, 45–48 | DOI | MR | Zbl

[47] Levin V. I., “On the two-parameter extension and analogue of Hilbert's inequality”, J. London Math. Soc., 1936, no. 11, 119–124 | DOI | MR | Zbl

[48] Levin V. I., “Two remarks on Hilbert's double series theorem”, J. Indian Math. Soc., 11:3 (1937), 111–115

[49] Levin V. I., “Two remarks on van der Corput's generalisations of Knopp's inequality”, Kon. Akad. van Wetensch, Amsterdam, 40:5 (1937), 429–431 | Zbl

[50] Levin V. I., “O neravenstvakh. I”, Matem. sbornik, 3(45) (1938), 341–346

[51] Levin V. I., “O neravenstvakh. II”, Matem. sbornik, 4(46) (1938), 309–324 | Zbl

[52] Levin V. I., “O neravenstvakh. III”, Matem. sbornik, 4(46) (1938), 325–332

[53] Levin V. I., “O neravenstvakh. IV”, Izvestiya AN SSSR. Otdelenie matematicheskikh i estestvennykh nauk. Seriya matematicheskaya, 36 (1938), 525–542

[54] Levin V. I., “Ob odnom kontinualnom analoge ryada Maklorena”, Izvestiya AN SSSR. Otdelenie matematicheskikh i estestvennykh nauk. Seriya matematicheskaya, 42 (1944), 51–53

[55] Levin V. I., “Tochnye konstanty v neravenstvakh tipa Karlsona”, Dokl. AN SSSR, 59 (1948), 635–638 | Zbl

[56] Levin V. I., Ryady i integraly Fure. Elementy operatsionnogo ischisleniya, Sovetskoe radio, M., 1948, 116 pp.

[57] Levin V. I., “Po povodu odnoi zadachi S. Ramanudzhana”, Uspekhi mat. nauk, 5:3 (37) (1950), 161–166 | MR | Zbl

[58] Levin V. I., “Predelnaya otsenka tochnosti asimptoticheskikh razlozhenii nekotorogo klassa funktsii”, Dokl. AN SSSR, 80 (1951), 13–16 | Zbl

[59] Levin V. I., Grosberg Yu.M., Differentsialnye uravneniya matematicheskoi fiziki, Gostekhizdat, M.–L., 1951, 576 pp. | MR

[60] Levin V. I., Fuks B. A., Funktsii kompleksnogo peremennogo i nekotorye ikh prilozheniya, Gostekhizdat, M.–L., 1951, 308 pp. | MR

[61] Levin V. I., “Predelnaya otsenka tochnosti asimptoticheskikh razlozhenii nekotorogo klassa funktsii”, Tr. Moskov. matem. obschestva, 2, 1953, 383–395 | Zbl

[62] Levin V. I., “O podgotovke uchitelei matematiki v pedagogicheskikh institutakh”, doklad, Izd. APN RSFSR, 1953, no. 3, 1–16

[63] Levin V. I., “Otsenka nekotorykh chislovykh ryadov”, Uspekhi mat. nauk, 9:4 (62) (1954), 191–194 | MR | Zbl

[64] Levin V. I., “O nekotorykh opredelitelyakh, sostavlennykh iz chlenov arifmeticheskoi progressii vysshego poryadka”, Uch. zap. Tulskogo gos. ped. in-ta, 1954, no. 5, 73–75

[65] Levin V. I., “Opredeleniya elementarnykh transtsendentnykh funktsii cherez integralnye predstavleniya”, Uch. zap. Tulskogo gos. ped. in-ta, 1954, no. 5, 76–105

[66] Levin V. I., Metodicheskie ukazaniya k programme po kursu «Matematicheskii analiz», dlya 1-go kursa fiziko–matematicheskikh fakultetov pedagogicheskikh institutov, Uchpedgiz, M., 1955, 56 pp.

[67] Levin V. I., Metody matematicheskoi fiziki, Uchebnoe posobie dlya fiziko–matematicheskikh fakultetov pedagogicheskikh institutov, 1-e izdanie, Uchpedgiz, M., 1956, 238 pp.

[68] Levin V. I., “Obobschenie arifmetiko-geometricheskogo srednego”, Matem. prosveschenie, 1957, no. 2, 195–204 | Zbl

[69] Levin V. I., “Elementarnoe dokazatelstvo odnoi teoremy teorii srednikh”, Matem. prosveschenie, 1958, no. 3, 177–181 | Zbl

[70] Levin V. I., “Osnovnye voprosy prepodavaniya matematicheskikh distsiplin na zaochnykh otdeleniyakh i razrabotka metodicheskoi literatury”, Zaochn. pedagogich. obrazovanie, 1958, no. 15, 5–18

[71] Levin V. I., “Nekotorye voprosy prepodavaniya matematiki v srednei shkole”, Matem. prosveschenie, 1959, no. 4, 145–150 | Zbl

[72] Levin V. I., Uravneniya matematicheskoi fiziki, Nauka, M., 1964, 287 pp. | MR

[73] Levin V. I., Godunova E. K., “Obobschenie neravenstva Karlsona”, Matem. sbornik, 67(109) (1965), 643–646

[74] Levin V. I., Godunova E. K., “Nekotorye kachestvennye voprosy teploprovodnosti”, Zhurnal vychisl. matem. i matem. fiziki, 6 (1966), 1097–1103 | Zbl

[75] Levin V. I., Pereturin A. F., “Vzaimodeistvie fiziki i matematiki”, Fizika v shkole, 1966, no. 6, 15–21

[76] Levin V. I., “Ortogonalnye semeistva ploskikh krivykh”, Matematika v shkole, 1966, no. 2, 13–24

[77] Levin V. I., Ramanudzhan – matematicheskii genii Indii, Znanie, M., 1968, 47 pp.

[78] Levin V. I., Godunova E. K., “Ob odnom neravenstve Maroni”, Matem. zametki, 2:2 (1967), 221–224 | MR

[79] Levin V. I., Godunova E. K., Chebaevskaya I. V., “Novye issledovaniya po funktsionalnym neravenstvam”, Materialy 6-i mezhvuzovskoi fiz.-matem. nauchnoi konferentsii Dalnego Vostoka, v. 3

[80] Levin V. I., Godunova E. K., “Obschii klass neravenstv, soderzhaschii neravenstvo Steffensena”, Matem. zametki, 3:3 (1968), 339–344

[81] Levin V. I., “Zhizn i tvorchestvo indiiskogo matematika S. Ramanudzhana”, Istoriko-matem. issled., 1960, no. 13, 335–378 | MR | Zbl

[82] Guschina V. M., “Ob odnom klasse nelineinykh integralnykh uravnenii”, Tula, Uchen. zap. Ped. in-ta, 1954, no. 5, 107–128

[83] Guschina V. M., “Teoremy suschestvovaniya i edinstvennosti dlya nelineinykh integralnykh uravnenii obschego vida”, Tula, Uchen. zap. Ped. in-ta, 1960, no. 7, 224–245

[84] Simonov A. S., “Metod Fure dlya odnogo integro–differentsialnogo uravneniya ellipticheskogo tipa”, Tr. Nauch. ob'edin. fiz.-matem. fak. vuzov Daln. Voct., 1963, no. 3, 70–74

[85] Simonov A. S., “Apriornye otsenki dlya integro-differentsialnykh uravnenii”, Tr. Nauch. ob'edin. prepodavatelei fiz.-matem. fak. ped. in-tov Daln. Voct., 1965, no. 5, 150–165

[86] Kononenko V. I., Likhtarnikovym L. M., Simonov A. S., “O znake resheniya odnoi kraevoi zadachi”, Tr. Nauch. ob'edin. prepodavatelei fiz.-matem. fak. ped. in-tov Daln. Vost., 1965, no. 5, 59–73 | MR

[87] Simonov A. S., “O suschestvovanii reshenii nekotorykh kvazilineinykh ellipticheskikh uravnenii”, Tr. Nauch. ob'edin. prepodavatelei fiz.-matem. fak. ped. in-tov Daln. Vost., 1965, no. 5, 166–178

[88] Krein S. G., Simonov A. S., “Teorema o gomeomorfizmakh”, Dokl. AN SSSR, 167:6 (1966), 1226–1228

[89] Simonov A. S., “Vidoizmenenie teoremy Lere–Lionsa i ego prilozhenie k resheniyu nelineinykh ellipticheskikh uravnenii”, Tr. seminara po funkts. analizu, 9, Voronezh, 1967, 157–166

[90] Krein S. G., Levin V. I., Kononenko V. I., Simonov A. S. L. M. Likhtarnikov, Matematika v shkole, 1985, no. 3, 77

[91] Vilenkin N. Ya., Simonov A. S., Survillo G. S., “Programma 10–11 klassov s gumanitarnym uklonom”, Novaya model shkoly «Dialektika i ekologiya», Avangard, M., 1992, 248–251

[92] Simonov A. S., “O matematicheskikh modelyakh ekonomiki v shkolnom kurse matematiki”, Matematika v shkole, 1997, no. 5, 72–75

[93] Simonov A. S., “Parabola bezopasnosti”, Matematika v shkole, 1998, no. 1, 83–90

[94] Simonov A. S., “Nekotorye primeneniya geometricheskoi progressii v ekonomike”, Matematika v shkole, 1998, no. 3, 27–37

[95] Simonov A. S., “Protsenty i bankovskie raschety”, Matematika v shkole, 1998, no. 4, 37–45

[96] Simonov A. S., “Slozhnye protsenty”, Matematika v shkole, 1998, no. 5, 30–42

[97] Simonov A. S., “Segodnyashnyaya stoimost zavtrashnikh platezhei”, Matematika v shkole, 1998, no. 6, 34–37

[98] Simonov A. S., “Ob odnom sposobe vvedeniya ponyatiya proizvodnoi”, Matematika v shkole, 1999, no. 4, 56–63

[99] Simonov A. S., “Ne vyplesnut rebenka vmeste s vodoi”, Matematika v shkole, 2001, no. 3, 62–64

[100] Simonov A. S., Inyutina E. V., “Geometricheskaya progressiya v ekonomike”, Matematika v shkole, 2001, no. 5, 17–21

[101] Simonov A. S., Ignateva N. I., “Ob odnom prilozhenii ponyatiya «Proizvodnaya» k resheniyu ekonomicheskikh zadach”, Matematika v shkole, 2001, no. 9, 43–52

[102] Simonov A. S., Survillo G. S., “Planirovanie i kontrolnye raboty dlya 8–9 klassov s uglublennym izucheniem matematiki”, Matematika v shkole, 2002, no. 7

[103] Vilenkin N. Ya., Simonov A. S., Survillo G. S., Algebra–10. Dlya klassov s uglublennym izucheniem distsiplin, ucheb. posobie, napechatano na osnovanii resheniya kollegii Min-va obrazovaniya respubliki Khakassii, v. 1, Nauka, Novosibirsk, 1992, 81 pp.

[104] Vilenkin N. Ya., Simonov A. S., Matematicheskii analiz funktsii mnogikh peremennykh, V 3 chastyakh, v. 1, Osnovnye struktury matematicheskogo analiza., Alfa, M., 1992, 58 pp.

[105] Vilenkin N. Ya., Simonov A. S., Matematicheskii analiz funktsii mnogikh peremennykh, V 3 chastyakh, v. 2, Differentsialnoe ischislenie funktsii mnogikh peremennykh, Alfa, M., 1992, 79 pp.

[106] Vilenkin N. Ya., Simonov A. S., Matematicheskii analiz funktsii mnogikh peremennykh, v. 3, Integralnoe ischislenie funktsii mnogikh peremennykh, Alfa, M., 1992, 87 pp.

[107] Vilenkin N. Ya., Simonov A. S., Survillo G. S., Algebra–10, Dlya klassov s uglublennym izucheniem gumanitarnykh distsiplin, v. II, Min-vo obrazovaniya RF, Abakanskii gos. ped. in-t im. N. F. Katanova, redaktsiya izdatelskogo otdela ARII im. N. F. Katanova, Abakan, 1993, 165 pp.

[108] Vilenkin N. Ya., Simonov A. S., Survillo G. S., Kudryavtsev A. I., Algebra–9, Uchebnoe posobie dlya uchaschikhsya shkol i klassov s uglublennym izucheniem matematiki. Rekomendovano glavnym upravleniem razvitiya obschego srednego obrazovaniya Min-va obrazovaniya RF. Vklyucheno v federalnyi komplekt uchebnikov, Prosveschenie, M., 1996, 384 pp.

[109] Simonov A. S., Ekonomika na urokakh matematiki, Uchebnoe posobie (rekomendovano Min-vom obrazovaniya RF), Shkola–Press, M., 1999

[110] Vilenkin N. Ya., Simonov A. S., Survillo G. S., Kudryavtsev A. I., Algebra–9, Uchebnik dlya uchaschikhsya 9 klassa s uglublennym izucheniem matematiki. Rekomendovano ministerstvom obrazovaniya i nauki RF, Izd. 8, dorabotannoe, Prosveschenie, M., 2011

[111] Chernov V. M., “Predelnye sootnosheniya dlya nekotorykh integralnykh preobrazovanii”, Uch. zap. Zaoch. ped. in-ta, 1959, no. 3, 103–143

[112] Chernov V. M., “Nekotorye predelnye sootnosheniya dlya dvustoronnego preobrazovaniya Laplasa i ikh prilozheniya”, Izv. vuzov. Matematika, 1961, no. 4, 125–136

[113] Chernov V. M., “Nekotorye svoistva dvustoronnego dvumernogo preobrazovaniya Laplasa”, Izv. vuzov. Matematika, 1962, no. 5, 115–127 | Zbl

[114] Chernov V. M., “Nekotorye voprosy operatsionnogo ischisleniya na osnove dvustoronnego dvumernogo preobrazovaniya Laplasa–Karsona”, Izv. vuzov. Matematika, 1963, no. 2, 140–151 | Zbl

[115] Chernov V. M., “Asimptoticheskie svoistva dvumernogo preobrazovaniya Laplasa”, Izv. vuzov. Matematika, 1965, no. 1, 158–167 | Zbl

[116] Vasin L. A., Gorodnichev S. V., Lutsenko A. G., “Formirovanie portfelya zakazov pri otsutstvii neopredelennosti”, Izvestiya Tulskogo gosudarstvennogo universiteta. Ekonomicheskie i yuridicheskie nauki, 2013, no. 3, 3–11 | MR

[117] Lutsenko A. G., “Upravlyayuschie elementy (controls) v sisteme MMathcad kak instrumentalnaya osnova dlya razrabotki upravlyaemykh vizualnykh sredstv obucheniya i ikh ispolzovaniya v uchebnom protsesse”, Izvestiya Tulskogo gosudarstvennogo universiteta. Seriya: Matematika. Mekhanika. Informatika, 12:5 (2006), 173

[118] Lutsenko A. G., “Kompyuternoe modelirovanie v obuchenii matematike buduschikh ekonomistov”, Vestnik Moskovskogo gorodskogo pedagogicheskogo universiteta. Seriya: Informatika i informatizatsiya obrazovaniya, 2006, no. 7, 121

[119] Lutsenko A. G., “Opyt ispolzovaniya sistemy Mathcad 11 pri obuchenii vysshei matematike”, Matematika v vysshem obrazovanii, 2005, no. 3, 53–64

[120] Lutsenko A. G., “Upravlyaemye vizualnye sredstva obucheniya matematicheskomu analizu”, Pedagogicheskaya informatika, 2004, no. 4, 67–74

[121] Lutsenko A. G., “Ob in'ektivnykh bulevykh prostranstvakh”, Uspekhi mat. nauk, 40:4 (1985), 219 | MR | Zbl

[122] Lutsenko A. G., “O retraktakh DT”, Matematicheskie zametki, 31:3 (1982), 433 | MR | Zbl

[123] Denisov I. V., “Asimptoticheskoe reshenie irregulyarno singulyarnogo uravneniya v banakhovom prostranstve”, Uspekhi mat. nauk, 37:5 (1982), 181–182 | MR

[124] Denisov I. V., “O kolichestve srezanii dlya singulyarnogo uravneniya”, Priblizhennye metody issledovaniya differentsialnykh uravnenii i ikh prilozheniya, Sb. nauchn. tr., KGU, Kuibyshev, 1982, 45–46

[125] Denisov I. V., “Ob asimptoticheskom reshenii differentsialnykh uravnenii v banakhovom prostranstve, nerazreshennykh otnositelno proizvodnoi”, Vychislitelnaya matematika i matematicheskaya fizika, Sb. nauchn. tr., MGPI im. V. I. Lenina, M., 1982, 77–84

[126] Denisov I. V., “Differentsialnye uravneniya s konechnomeromorfnym operatornym koeffitsientom v banakhovom prostranstve”, Doklady AN SSSR, 282:6 (1985), 1289–1293 | MR | Zbl

[127] Denisov I. V., Ob asimptoticheskom razlozhenii resheniya singulyarno vozmuschennogo ellipticheskogo uravneniya v pryamougolnike, Sb. nauchn. tr., Asimptoticheskie metody teorii singulyarno - vozmuschennykh uravnenii i nekorrektno postavlennykh zadach, Ilim, Bishkek, 1991, 37 pp.

[128] Denisov I. V., “Kvazilineinye singulyarno vozmuschennye ellipticheskie uravneniya v pryamougolnike”, Zhurnal vychisl. matem. i matem. fiziki, 35:11 (1995), 1666–1678 | MR | Zbl

[129] Denisov I. V., “Ob asimptoticheskikh resheniyakh singulyarno vozmuschennykh parabolicheskikh uravnenii s nelineinostyami”, Teoriya i prilozheniya metodov malogo parametra, Sb. nauchn. tr., OIAE, Obninsk, 1996, 32 pp.

[130] Denisov I. V., “Pervaya kraevaya zadacha dlya kvazilineinogo singulyarno vozmuschennogo parabolicheskogo uravneniya v pryamougolnike”, Zhurnal vychisl. matem. i matem. fiziki, 36:10 (1996), 56–72 | MR | Zbl

[131] Denisov I. V., “Otsenka ostatochnogo chlena v asimptotike resheniya kraevoi zadachi”, Zhurnal vychisl. matem. i matem. fiziki, 36:12 (1996), 64–67 | MR | Zbl

[132] Denisov I. V., “Pervaya kraevaya zadacha dlya lineinogo parabolicheskogo uravneniya v prostranstve”, Differentsialnye uravneniya, 34:12 (1998), 1616–1623 | MR | Zbl

[133] Denisov I. V., “Zadacha nakhozhdeniya glavnogo chlena uglovoi chasti asimptotiki resheniya singulyarno vozmuschennogo ellipticheskogo uravneniya s nelineinostyu”, Zhurnal vychisl. matem. i matem. fiziki, 39:5 (1999), 779–791 | MR | Zbl

[134] Denisov I. V., “O klassakh funktsii, opredelyaemykh funktsionalnymi neravenstvami”, Izvestiya Tulskogo gosudarstvennogo universiteta. Seriya «Matematika. Mekhanika. Informatika», 6:1 (2000), 79–84 | MR

[135] Denisov I. V., “Uglovoi pogransloi v nelineinykh singulyarno vozmuschennykh ellipticheskikh uravneniyakh”, Zhurnal vychisl. matem. i matem. fiziki, 41:3 (2001), 390–406 | MR | Zbl

[136] Denisov I. V., “Uglovoi pogransloi v nemonotonnykh singulyarno vozmuschennykh kraevykh zadachakh s nelineinostyami”, Zhurnal vychisl. matem. i matem. fiziki, 44:9 (2004), 1674–1692 | MR | Zbl

[137] Denisov I. V., “Uglovoi pogransloi v nelineinykh singulyarno vozmuschennykh ellipticheskikh zadachakh”, Zhurnal vychisl. matem. i matem. fiziki, 48:1 (2008), 62–79 | MR | Zbl

[138] Denisov I. V., “O nekotorykh klassakh funktsii”, Chebyshevskii sbornik, 10:2 (30) (2009), 79–108 | MR | Zbl

[139] Denisov I. V., Denisova T. Yu., Rodionov A. V., “Uglovoi pogransloi v nelineinykh singulyarno vozmuschennykh parabolicheskikh uravneniyakh”, Chebyshevskii sbornik, 13:3 (43) (2012), 28–46 | Zbl

[140] Butuzov V. F., Denisov I. V., “Uglovoi pogranichnyi sloi v nelineinykh ellipticheskikh zadachakh, soderzhaschikh proizvodnye pervogo poryadka”, Modelirovanie i analiz informatsionnykh sistem, 21:1 (2014), 7–31

[141] Denisov I. V., “Uglovoi pogranichnyi sloi v kraevykh zadachakh dlya singulyarno vozmuschennykh parabolicheskikh uravnenii s kvadratichnoi nelineinostyu”, Zhurnal vychisl. matem. i matem. fiziki, 57:2 (2017), 255–274 | DOI | Zbl

[142] Denisov I. V., “Uglovoi pogranichnyi sloi v kraevykh zadachakh dlya singulyarno vozmuschennykh parabolicheskikh uravnenii s monotonnoi nelineinostyu”, Zhurnal vychisl. matem. i matem. fiziki, 58:4 (2018), 575–585 | DOI | Zbl

[143] Denisov I. V., Denisov A. I., “Matematicheskie modeli protsessov goreniya”, Vestnik RAEN. Izdanie Rossiiskoi akademii estestvennykh nauk, 19:2 (2019), 64–66

[144] Denisov I. V., Denisov A. I., “Uglovoi pogranichnyi sloi v kraevykh zadachakh dlya singulyarno vozmuschennykh parabolicheskikh uravnenii s nelineinostyami”, Zhurnal vychisl. matem. i matem. fiziki, 59:1 (2019), 102–117 | DOI | Zbl

[145] Denisov I. V., Denisov A. I., “Uglovoi pogranichnyi sloi v kraevykh zadachakh dlya singulyarno vozmuschennykh parabolicheskikh uravnenii s nemonotonnymi nelineinostyami”, Zhurnal vychisl. matem. i matem. fiziki, 59:9 (2019), 1581–1590 | DOI | Zbl

[146] Denisov I. V., Dobrovolskii N. M., “Zhizn i nauchnaya deyatelnost Alberta Rubenovicha Esayana”, Chebyshevskii sbornik, 20:1 (69) (2019), 432–436 | DOI

[147] Denisov I. V., Denisov A. I., “Matematicheskie modeli protsessov goreniya”, Itogi nauki i tekhn. Ser. Sovrem. mat. i ee pril. Temat. obz., 185, VINITI RAN, 2020, 82–88 | DOI

[148] Denisov I. V., “Uglovoi pogranichnyi sloi v kraevykh zadachakh dlya singulyarno vozmuschennykh parabolicheskikh uravnenii s kubicheskimi nelineinostyami”, Zhurnal vychisl. matem. i matem. fiziki, 61:2 (2021), 256–267 | DOI | Zbl

[149] Denisov I. V., “Uglovoi pogranichnyi sloi v kraevykh zadachakh s nelineinostyami, imeyuschimi statsionarnye tochki”, Zhurnal vychisl. matem. i matem. fiziki, 61 (2021), 1894–1903 | DOI | Zbl

[150] Levina S. N., “O reshenii uravneniya kolebanii na vsei osi vremen”, Doklady AN SSSR, 114:6 (1957), 18–20 | Zbl

[151] Levina S. N., “Operatornoe reshenie nekotorykh zadach matematicheskoi fiziki na vsei osi vremen”, Uch. zap. Ped. in-ta. Tula, 1960, no. 7, 113–137

[152] Levina S. N., “Ob odnoi zadache na vsei osi vremen”, Volzh. matem. sb., 1965, no. 3, 207–210 | Zbl

[153] Efimova N. S., “Dvoinye asimptoticheskie razlozheniya”, Uch. zap. Ped. in-ta. Tula, 1960, no. 7, 98–112

[154] Isaeva L. V., “Reshenie zadachi Koshi dlya uravneniya”, Volzh. matem. sb., 1965, no. 3, 289–295

[155] Antropova V. I., “Mikhail Vasilevich Ostrogradskii”, Vestnik vysshei shkoly, 1954, no. 9, 49–50 | MR

[156] Antropova V. I., “Publichnye lektsii po integralnomu ischisleniyu M. V. Ostrogradskogo”, Trudy In-ta istorii estestv. i tekhn., 1955, no. 5, 304–320 | Zbl

[157] Antropova V. I., “K istorii integralnoi teoremy M. V. Ostrogradskogo”, Trudy In-ta istorii estestv. i tekhn., 1957, no. 17, 229–269 | Zbl

[158] Antropova V. I., “O rabotakh Fure, Ostrogradskogo i Puassona po teploprovodnosti i zhidkostyakh”, Voprosy istorii estestv. i tekhn., 1957, no. 3, 49–61 | Zbl

[159] Antropova V. I., “Primechaniya”: Ostrogradskii M. V., Izbrannye trudy, 1958, 484–495

[160] Antropova V. I., “Kommentarii (NoNo51–103)”: Ostrogradskii M. V., Polnoe sobranie trudov, v. 1, Kiev, 1959, 269–284

[161] Antropova V. I., “Kommentarii i primechaniya k «Zapiskam integralnogo ischisleniya» M. V. Ostrogradskogo”, Mikhail Vasilevich Ostrogradskii, 1862–1962, M., 1961, 253–263 | MR

[162] Antropova V. I., “Pervye sistematicheskie kursy po teorii potentsiala”, Vopr. istorii fiz.-matem. n., M., 1963, 139–140

[163] Antropova V. I., “Primechaniya k «Memuaru o rasprostranenii tepla vnutri tverdykh tel» M. V. Ostrogradskogo”, Istor.-matem. issledovaniya, 1965, no. 16, 97–126 | MR | Zbl

[164] Antropova V. I., “O geometricheskom metode «Matematicheskikh nachal naturalnoi filosofii» I. Nyutona”, Istor.-matem. issledovaniya, 1966, no. 17, 205–228 | MR | Zbl

[165] Rybakov V. I., “Prostranstvo Asplunda: esche odin kriterii”, Matem. zametki, 82:1 (2007), 118–124 | DOI | MR | Zbl

[166] Rybakov V. I., “Banakhovy prostranstva so svoistvom PC”, Matem. zametki, 76:4 (2004), 568–577 | DOI | Zbl

[167] Rybakov V. I., “Esche odin klass prostranstv Namioki”, Matem. zametki, 73:2 (2003), 263–268 | DOI | Zbl

[168] Rybakov V. I., “Ob integriruemosti po Pettisu stounovskogo preobrazovaniya”, Matem. zametki, 60:2 (1996), 238–253 | DOI | Zbl

[169] Rybakov V. I., “O skhodimosti na granitse edinichnogo shara sopryazhennogo prostranstva”, Matem. zametki, 59:5 (1996), 753–758 | DOI | MR | Zbl

[170] Rybakov V. I., “O funktsionalakh, sokhranyayuschikh rezultant”, Matem. zametki, 54:1 (1993), 65–70 | MR | Zbl

[171] Rybakov V. I., “Odno usilenie teoremy Namioki i m-dopustimye mnozhestva”, Matem. zametki, 35:4 (1984), 599–615 | MR | Zbl

[172] Rybakov V. I., “Banakhovy prostranstva s k- i m-dopustimymi mnozhestvami”, Matem. zametki, 33:1 (1983), 49–64 | Zbl

[173] Rybakov V. I., “Universalnaya izmerimost tozhdestvennogo otobrazheniya banakhova prostranstva v nekotorykh topologiyakh”, Matem. zametki, 23:2 (1978), 305–314 | MR | Zbl

[174] Rybakov V. I., “Nekotorye svoistva mer na normirovannom prostranstve, obladayuschem svoistvom RN”, Matem. zametki, 21:1 (1977), 81–92 | MR | Zbl

[175] Rybakov V. I., “Nekotorye sluchai svedeniya izucheniya slabo integriruemykh funktsii k izucheniyu funktsii, integriruemykh v smysle Pettisa”, Izv. vuzov. Matem., 1975, no. 11, 98–101 | Zbl

[176] Rybakov V. I., “Odno obobschenie integrala Bokhnera na sluchai lokalno vypuklykh prostranstv”, Matem. zametki, 18:4 (1975), 577–588 | MR | Zbl

[177] Rybakov V. I., “Vydelenie iz vektornoi mery chasti, predstavimoi integralom Bokhnera”, Matem. zametki, 17:5 (1975), 797–808 | MR | Zbl

[178] Rybakov V. I., “O vektornykh merakh so znacheniyami v lokalno vypuklykh prostranstvakh”, Funkts. analiz i ego pril., 7:4 (1973), 95–96 | MR

[179] Rybakov V. I., “Ob uslovnykh matematicheskikh ozhidaniyakh dlya integriruemykh v smysle Pettisa funktsii”, Matem. zametki, 10:5 (1971), 565–570 | Zbl

[180] Rybakov V. I., “K teoreme Bartla–Danforda–Shvartsa o vektornykh merakh”, Matem. zametki, 7:2 (1970), 247–254 | MR

[181] Rybakov V. I., “Teorema Radona–Nikodima i predstavlenie vektornykh mer integralom”, Dokl. AN SSSR, 180:2 (1968), 282–285 | MR | Zbl

[182] Rybakov V. I., “O vektornykh merakh”, Izv. vuzov. Matem., 1968, no. 12, 92–101 | MR | Zbl

[183] Manokhin E. V., “O K-lokalno ravnomerno vypuklykh prostranstvakh”, Izv. vuzov. Matem., 1991, no. 5, 32–34 | MR | Zbl

[184] Manokhin E. V., “$\Gamma$-slabo lokalno ravnomernaya vypuklost v prostranstvakh Banakha”, Izvestiya Vuzov. Matematika, 1998, no. 1, 51–54 | MR | Zbl

[185] Dobrovolskii N. E. V.M., Manokhin E. V., “Banakhovy prostranstva periodicheskoi funktsii”, Izv. TulGU. Ser. Mekhanika. Matematika. Informatika, 4:3 (1998), 56–67 | MR

[186] Manokhin E. V., “Banakhovy matritsy”, Izv. TulGU. Ser. Mekhanika. Matematika. Informatika, 9:1 (2003), 129–141 | MR

[187] Manokhin E. V., “Nekotorye mnozhestva v $l^n_1$ i konstanta Yunga”, Chebyshevskii sbornik, 9:1 (2008), 144–147 | MR | Zbl

[188] Shulyupov V. A., “Differentsialnye uravneniya, opisyvayuschie zamknutuyu sistemu, soderzhaschuyu zveno s gisteronom”, Vestnik MGU. Seriya I, 1995, no. 2, 25–29 | MR | Zbl

[189] Shulyupov V. A., “Differentsialnye uravneniya, opisyvayuschie zamknutuyu sistemu, soderzhaschuyu zveno s gisteronom”, Differentsialnye uravneniya, 1995, no. 5, 914

[190] Dobrovolskii N. M., Esayan A. R., Shulyupov V. A., “Faktorial i rekursiya”, Izv. Tul. gos. un-ta. Matematika. Mekhanika. Informatika, 5:1 (1999), 100–113 | MR

[191] Shulyupov V. A., “Vozmozhnyi vid otdelnoi polutraektorii dvumernoi avtonomnoi zamknutoi sistemy, soderzhaschei zveno s gisteronom”, Informatsionnye tekhnologii, innovatsii, investitsii, matematicheskie metody i modeli, Mezhvuzovskii sbornik nauchnykh trudov (Tula, 2012), 177–181

[192] Shulyupov V. A., Kachestvennoe issledovanie dvumernoi sistemy, soderzhaschei zveno s gisteronom, Izdatelstvo TGPU im. L. N. Tolstogo, Tula, 2012, 92 pp.

[193] Esayan A. R., Chubarikov V. N., Dobrovolskii N. M., Shulyupov V. A., Programmirovanie v Mathcad na primerakh, Izd-vo TGPU, Tula, 2010, 330 pp.

[194] Isaeva N. M., Subbotina T. I., “Matematicheskoe modelirovanie zavisimosti mezhdu obschim i pryamym bilirubinom dlya nekotorykh boleznei pecheni”, Vestnik novykh meditsinskikh tekhnologii, IX, no. 1, Izd-vo TulGU, Tula, 2001, 34–36

[195] Isaeva N. M., Subbotina T. I., Yashin A. A., “Litogennye svoistva zhelchi i «zolotoe sechenie»”, Vestnik novykh meditsinskikh tekhnologii, XIII, no. 4, Izd-vo TulGU, Tula, 2006, 175–177

[196] Isaeva N. M., Subbotina T. I., Khadartsev A. A., Yashin A. A., Kod Fibonachchi i «zolotoe sechenie» v eksperimentalnoi patofiziologii i elektromagnitobiologii, GUP NII NMT, OOO NITs «Matriks», OOO Izdatelstvo «Triada», M.–Tula–Tver, 2007

[197] Isaeva N. M., Kurotchenko S. P., Savin E. I., Subbotina T. I., Yashin A. A., “«Zolotoe sechenie» kak kriterii tyazhesti patomorfologicheskikh izmenenii pri vozdeistvii na organizm vraschayuschikhsya i impulsnykh beguschikh magnitnykh polei”, Vestnik novykh meditsinskikh tekhnologii, XVI, no. 3, Izd-vo TulGU, Tula, 2009, 38–39

[198] Isaeva N. M., Ivanov V. B., Savin E. I., Subbotina T. I., Yashin A. A., Khasaya D. A., “Issledovanie aktivnosti regulyatsii agregatnogo sostoyaniya krovi pri vozdeistvii na organizm elektromagnitnogo izlucheniya s pozitsii «zolotogo secheniya»”, Vestnik novykh meditsinskikh tekhnologii, XVIII, no. 4, Izd-vo TulGU, Tula, 2011, 30–32

[199] Isaeva N. M., Kupeev V. G., Savin E. I., Subbotina T. I., Yashin A. A., “Primenenie korrelyatsionno-regressionnogo analiza dlya issledovaniya aktivnosti svobodno-radikalnykh protsessov pod vozdeistviem elektromagnitnogo izlucheniya, vvedeniya fitomelanina i stvolovykh kletok”, Vestnik novykh meditsinskikh tekhnologii, XVIII, no. 4, Izd-vo TulGU, Tula, 2011, 48–50