A. A. Bolibrukh, “On Isomonodromic Confluences of Fuchsian Singularities”, Local and global problems of singularity theory, Collection of papers dedicated to the 60th anniversary of academician Vladimir Igorevich Arnold, Trudy Mat. Inst. Steklova, 221, Nauka, MAIK «Nauka», M., 1998, 127–142; Proc. Steklov Inst. Math., 221 (1998), 117

Citation in format AMSBIB

\Bibitem{Bol98}

\by A.~A.~Bolibrukh

\paper On Isomonodromic Confluences of Fuchsian Singularities

\inbook Local and global problems of singularity theory

\bookinfo Collection of papers dedicated to the 60th anniversary of academician Vladimir Igorevich Arnold

\serial Trudy Mat. Inst. Steklova

\yr 1998

\vol 221

\pages 127--142

\publ Nauka, MAIK «Nauka»

\publaddr M.

\mathnet{http://mi.mathnet.ru/tm637}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1683690}

\zmath{https://zbmath.org/?q=an:0951.34069}

\transl

\jour Proc. Steklov Inst. Math.

\yr 1998

\vol 221

\pages 117--132

This publication is cited in the following 30 articles:

Guzzetti D., “Isomonodromic Laplace Transform With Coalescing Eigenvalues and Confluence of Fuchsian Singularities”, Lett. Math. Phys., 111:3 (2021), 80
Malek S., “On Boundary Layer Expansions For a Singularly Perturbed Problem With Confluent Fuchsian Singularities”, Mathematics, 8:2 (2020), 189
Haraoka Y., “Linear Differential Equations in the Complex Domain From Classical Theory to Forefront Introduction”: Haraoka, Y, Linear Differential Equations in the Complex Domain: From Classical Theory to Forefront, Lect. Notes Math., Lecture Notes in Mathematics, 2271, Springer International Publishing Ag, 2020, 1+
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Davide Guzzetti, “Notes on Non-Generic Isomonodromy Deformations”, SIGMA, 14 (2018), 087, 34 pp.
Cotti G., Guzzetti D., “Results on the Extension of Isomonodromy Deformations to the Case of a Resonant Irregular Singularity”, Random Matrices-Theor. Appl., 7:4, SI (2018), 1840003
Yulia Bibilo, Galina Filipuk, “Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution”, SIGMA, 11 (2015), 023, 14 pp.
Bibilo Yu., Filipuk G., “Middle Convolution and Non-Schlesinger Deformations”, Proc. Jpn. Acad. Ser. A-Math. Sci., 91:5 (2015), 66–69
Kazuo Kaneko, “Special Solutions and Linear Monodromy for the Two-Dimensional Degenerate Garnier System $\mathrm{G(1112)}$”, SIGMA, 10 (2014), 069, 15 pp.
Douai A., “Quantum Differential Systems and Construction of Rational Structures”, Manuscr. Math., 145:3-4 (2014), 285–317
Mitschi C., Singer M.F., “Projective Isomonodromy and Galois Groups”, Proc. Amer. Math. Soc., 141:2 (2013), 605–617
Yu. P. Bibilo, “Isomonodromic deformations of systems of linear differential equations with irregular singularities”, Sb. Math., 203:6 (2012), 826–843
Vyugin I.V., “Expansions for Solutions of the Schlesinger Equation at a Singular Point”, Painleve Equations and Related Topics (2012), Degruyter Proceedings in Mathematics, eds. Bruno A., Batkhin A., Walter de Gruyter & Co, 2012, 151–158
R. R. Gontsov, V. A. Poberezhnyi, G. F. Helminck, “On deformations of linear differential systems”, Russian Math. Surveys, 66:1 (2011), 63–105
Yu. P. Bibilo, “Isomonodromic Confluence of Singular Points”, Math. Notes, 87:3 (2010), 309–315
R. R. Gontsov, “On Solutions of the Schlesinger Equation in the Neigborhood of the Malgrange $\Theta$-Divisor”, Math. Notes, 83:5 (2008), 707–711
Poberezhny V., “On the Painlevé property of isomonodromic deformations of Fuchsian systems”, Acta Applicandae Mathematicae, 101:1–3 (2008), 255–263
V. A. Poberezhnyi, “General Linear Problem of the Isomonodromic Deformation of Fuchsian Systems”, Math. Notes, 81:4 (2007), 529–542
Sabbah C., “The work of Andrey Bolibrukh on isomonodromic deformations”, Differential Equations and Quantum Groups - ANDREY A. BOLIBRUKH MEMORIAL VOLUME, Irma Lectures in Mathematics and Theoretical Physics, 9, 2007, 9–25
Kostov V.P., “Monodromy groups of regular systems on the Riemann sphere”, Differential Equations and Quantum Groups - ANDREY A. BOLIBRUKH MEMORIAL VOLUME, Irma Lectures in Mathematics and Theoretical Physics, 9, 2007, 209–254