Andrei Andreevich Bolibrukh in life and science (30 January 1950 – 11 November 2003)

D. V. Anosov   ; V. P. Leksin

Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 59 (2004) no. 6, pp. 1009-1028

Bibliographie

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[38] Fuchsian systems and holomorphic vector bundles on the Riemann sphere, Preprint No 347, Université de Nice, Nice, 1993

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[43] Sufficient conditions for a system of ODE to be analytically transformed to Birkhoff standard form, Preprint No 394, Université de Nice, Nice, 1994

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[45] “Vector bundles associated with monodromies and asymptotics of Fuchsian systems”, J. Dynam. Control Systems, 1:2 (1995), 229–252 | DOI | MR | Zbl

[46] “The Riemann–Hilbert problem and Fuchsian differential equations on the Riemann sphere”, Proceedings of the International Congress of Mathematicians (Zürich, 1994), Birkhäuser, Basel, 1995, 1159–1168 | MR | Zbl

[47] On movable singular points of Schlesinger equation of isomonodromic deformations, Preprint No 429, Université de Nice, Nice, 1995

[48] “Regular systems whose monodromies differ from the monodromies of Fuchsian systems”, J. Math. Sci., 78:5 (1996), 530–541 | DOI | MR | Zbl

[49] “On the Birkhoff standard form of linear system of ODE”, Amer. Math. Soc. Transl. Ser. 2, 174 (1996), 169–189 | MR

[50] “Holomorphic bundles, associated with linear differential equations and the Riemann–Hilbert problem”, The Stokes Phenomenon and Hilbert's 16th Problem (Gröningen, 1995), World Scientific, River Edge, NJ, 1996, 51–70 | MR

[51] On the existence of Fuchsian systems with given asymptotics, Preprint No 461, Université de Nice, Nice, 1996

[52] “Holomorphic vector bundles on the Riemann sphere and the 21st Hilbert problem”, J. Math. Sci., 82:6 (1996), 3759–3764 | DOI | MR | Zbl

[53] “K voprosu o suschestvovanii fuksovykh sistem s dannymi asimptotikami”, Trudy MIAN, 221, 1998, 32–44

[54] W. Balser, “Transformation of reducible equations to Birkhoff standard form”, Ulmer Seminare über Funktionalanalysis und Differentialgleichungen, v. 2, University of Ulm, Ulm, 1997, 73–81

[55] “Isomonodromic confluence of Fuchsian singularities”, Abstracts of International Conference on Dynamical Systems (Rio de Janeiro, 1997)

[56] “On isomonodromic deformations of Fuchsian systems”, J. Dynam. Control Systems, 3:4 (1997), 589–604 | MR | Zbl

[57] “Ob izomonodromnykh sliyaniyakh fuksovykh osobennostei”, Trudy MIAN, 221, 1998, 127–142 | Zbl

[58] “Isomonodromic confluences of regular singularities”, Abstracts of International Conference Dedicated to the 90th Anniversary of L. S. Pontryagin (Moscow, 1998), 19–20

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[60] “Levelt's valuation method and the Riemann–Hilbert problem”, Differential and Difference Equations and Computer Algebra. In honor of A. H. M. Levelt's 65th birthday, Department of Mathematics, University of Nijmegen, Nijmegen, 1998, 1–9

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[62] “Meromorphic reduction to Birkhoff standard form”, Abstracts of the International Conference on Differential and Functional Differential Equations (Moscow, 1999), 20–21

[63] “Meromorfnoe preobrazovanie k birkgofovoi standartnoi forme v malykh razmernostyakh”, Trudy MIAN, 225, 1999, 87–95 | Zbl

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[65] “Elementary proof of the Birkhoff–Grothendieck theorem with parameters”, Ulmer Seminare über Funktionalanalysis und Differentialgleichungen, v. 4, University of Ulm, Ulm, 1999, 157–164

[66] Fuchsian inequality on a compact Kähler manifold, Preprint No 2, IRMA, Université Louis Pasteur, Strasbourg, 2000

[67] “On orders of movable poles of the Schlesinger equation”, J. Dynam. Control Systems, 6:1 (2000), 57–73 | DOI | MR

[68] “Generalized Fuchsian inequality”, Abstracts of the International Conference on Differential Equations and Dynamical Systems (Suzdal, 2000), 16–19

[69] “Inverse problems for linear differential equations with meromorphic coefficients”, Isomonodromic Deformations and Applications in Physics (Montréal, 2000), CRM Proc. Lecture Notes, 31, Amer. Math. Soc., Providence, RI, 2002, 3–25 | MR

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[71] “Regulyarnye osobye tochki kak izomonodromnye sliyaniya fuksovykh”, UMN, 56:4 (2001), 135–136 | MR | Zbl

[72] “Stabilnye vektornye rassloeniya s logarifmicheskimi svyaznostyami i problema Rimana–Gilberta”, Dokl. RAN, 381:1 (2001), 10–13 | MR | Zbl

[73] “The Riemann–Hilbert problem and isomonodromic deformations”, International Conference “Differential Equations and Related Topics” dedicated to the Centenary Anniversary of I. G. Petrovskii, Book of Abstracts, 2001, 5–6

[74] “Movable singularities of the Schlesinger equation of isomonodromic deformations”, Progress in Nonlinear Science, Abstracts of the International Conference dedicated to the 100th Anniversary of A. A. Andronov (Nizhny Novgorod, 2001), 9–10

[75] “Kratnosti nulei komponent reshenii sistem s regulyarnymi osobymi tochkami”, Trudy MIAN, 236, 2002, 61–65 | Zbl

[76] “Problema Rimana–Gilberta na kompaktnoi rimanovoi poverkhnosti”, Trudy MIAN, 238, 2002, 55–69 | Zbl

[77] “The problem on the Birkhoff standard form in dimension four”, Abstracts of International Conference on Differential Equations and Dynamical Systems (Suzdal, 2002), 154–155

[78] On tau-function for the Schlesinger equation of isomonodromic deformations, Preprint No 7, IRMA, Université Louis Pasteur, Strasbourg, 2002

[79] “Minimalnaya birkgofova standartnaya forma”, Differents. uravneniya, 39:6 (2003), 723–730 | MR | Zbl

[80] “O tau-funktsii uravneniya izomonodromnykh deformatsii Shlezingera”, Matem. zametki, 74:2 (2003), 184–191 | Zbl

[81] “Obratnye zadachi monodromii analiticheskoi teorii differentsialnykh uravnenii”, Matematicheskie sobytiya XX veka, Fazis, M., 2003, 53–79

[82] “Differentsialnye uravneniya s meromorfnymi koeffitsientami”, Sovremennye problemy matematiki, 1, MIAN, M., 2003, 29–82 | DOI | MR

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[85] Linear differential equations, Fuchsian inequalities and multiplicities of zeros, Manuscript, 40 pp.

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[89] V. Uroevym, M. Shabuninym, “Kvadratichnyi trekhchlen”, Kvant, 1983, no. 9, 26–28

[90] V. Uroevym, M. Shabuninym, “Metricheskie sootnosheniya v treugolnike”, Kvant, 1985, no. 4, 48–52

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[93] V. Uroevym, M. Shabuninym, “Reshenie sistem trigonometricheskikh uravnenii”, Kvant, 1987, no. 11, 46–49

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[97] “Sistemy nelineinykh uravnenii i neravenstv”, Fakultativnye kursy po matematike dlya 10–11 klassov, Ministerstvo narodnogo obrazovaniya RSFSR, M., 1989, 58–106

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[99] Reshenie zadaniya No 4 dlya 9-kh kl., ZFTSh MFTI, MFTI, Dolgoprudnyi, 1991

[100] Problemy Gilberta (100 let spustya), MTsNMO, M., 1999

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[103] Uravneniya Maksvella i differentsialnye formy, MTsNMO, M., 2002

[104] Vospominaniya i razmyshleniya o davno proshedshem, M., 2003

[105] “Dmitrii Viktorovich Anosov (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 52:2 (1997), 193–200 | MR

[106] “Vladimir Igorevich Arnold (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 52:5 (1997), 235–255 | MR | Zbl

[107] “Anatolii Dmitrievich Myshkis (k vosmidesyatiletiyu so dnya rozhdeniya)”, UMN, 55:3 (2000), 195–196 | MR

[108] “Anatolii Mikhailovich Stepin (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 56:1 (2001), 201–204 | MR | Zbl

[109] “Aleksandr Sergeevich Mischenko (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 56:6 (2001), 167–170 | MR

[110] “Andrei Aleksandrovich Gonchar (k semidesyatiletiyu so dnya rozhdeniya)”, UMN, 57:1 (2002), 185–190 | MR | Zbl

[111] “Evgenii Frolovich Mischenko (k vosmidesyatiletiyu so dnya rozhdeniya)”, Trudy MIAN, 236, 2002, 9–10

[112] “Vasilii Sergeevich Vladimirov (k vosmidesyatiletiyu so dnya rozhdeniya)”, UMN, 58:1 (2003), 199–207 | MR | Zbl

[113] “Viktor Matveevich Bukhshtaber (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 58:3 (2003), 199–206 | MR | Zbl

[114] Differentsialnye uravneniya i dinamicheskie sistemy, K 80-letiyu so dnya rozhdeniya akademika E. F. Mischenko, Trudy MIAN, 236, Nauka, M., 2002

[115] Monodromiya v zadachakh algebraicheskoi geometrii i differentsialnykh uravnenii, Trudy MIAN, 238, Nauka, M., 2002

[116] M. Hazewinkel, V. Kulikov, M. Teicher, Monodromy and Differential Equations, Acta Appl. Math., 75, no. 1-3, Kluwer, Dordrecht, 2003 | MR

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