A. A. Bolibrukh, “Multiplicity of Zeros of the Components of Solutions to a System with Regular Singular Points”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 61–65; Proc. Steklov Inst. Math., 236 (2002), 53

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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2002, Volume 236, Pages 61–65 (Mi tm276)

This article is cited in 7 scientific papers (total in 9 papers)

Multiplicity of Zeros of the Components of Solutions to a System with Regular Singular Points

A. A. Bolibrukh

Steklov Mathematical Institute, Russian Academy of Sciences

Full-text PDF (133 kB) Citations (9)

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Abstract: An estimate for the multiplicity of zeros is obtained for a polynomial considered on the trajectory of a solution to a system with regular singular points.

Received in October 2001

Bibliographic databases:

UDC: 517.925.56

Language: Russian

Citation: A. A. Bolibrukh, “Multiplicity of Zeros of the Components of Solutions to a System with Regular Singular Points”, Differential equations and dynamical systems, Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko, Trudy Mat. Inst. Steklova, 236, Nauka, MAIK «Nauka/Inteperiodika», M., 2002, 61–65; Proc. Steklov Inst. Math., 236 (2002), 53–57

Citation in format AMSBIB

\Bibitem{Bol02}

\by A.~A.~Bolibrukh

\paper Multiplicity of Zeros of the Components of Solutions to a~System with Regular Singular Points

\inbook Differential equations and dynamical systems

\bookinfo Collected papers. Dedicated to the 80th anniversary of academician Evgenii Frolovich Mishchenko

\serial Trudy Mat. Inst. Steklova

\yr 2002

\vol 236

\pages 61--65

\publ Nauka, MAIK «Nauka/Inteperiodika»

\publaddr M.

\mathnet{http://mi.mathnet.ru/tm276}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1931006}

\zmath{https://zbmath.org/?q=an:1021.34077}

\transl

\jour Proc. Steklov Inst. Math.

\yr 2002

\vol 236

\pages 53--57

Linking options:

https://www.mathnet.ru/eng/tm276

https://www.mathnet.ru/eng/tm/v236/p61

This publication is cited in the following 9 articles:

D. V. Anosov, V. P. Leksin, “Andrei Andreevich Bolibrukh's works on the analytic theory of differential equations”, Russian Math. Surveys, 66:1 (2011), 1–33
Movasati H., “Meromorphic connections on $\mathbb P^1$ and the multiplicity of abelian integrals”, J. Dyn. Control Syst., 12:2 (2006), 217–228
Moura C., “A bound on the multiplicity of horizontal sections for a connection on a Riemann surface”, J. Differential Equations, 220:1 (2006), 195–206
R. R. Gontsov, “Refined Fuchs inequalities for systems of linear differential equations”, Izv. Math., 68:2 (2004), 259–272
R. R. Gontsov, “Orders of Zeros of Polynomials on Trajectories of Solutions of a System of Linear Differential Equations with Regular Singular Points”, Math. Notes, 76:3 (2004), 438–442
D. V. Anosov, V. P. Leksin, “Andrei Andreevich Bolibrukh in life and science (30 January 1950 – 11 November 2003)”, Russian Math. Surveys, 59:6 (2004), 1009–1028
D. V. Anosov, V. I. Arnol'd, V. M. Buchstaber, V. A. Golubeva, A. A. Gonchar, A. B. Zhizhchenko, Yu. S. Ilyashenko, V. V. Kozlov, S. P. Konovalov, L. D. Kudryavtsev, V. P. Leksin, O. B. Lupanov, A. A. Mal'tsev, E. F. Mishchenko, S. P. Novikov, Yu. S. Osipov, M. M. Postnikov, V. A. Sadovnichii, A. G. Sergeev, L. D. Faddeev, A. V. Chernavskii, “Andrei Andreevich Bolibrukh (obituary)”, Russian Math. Surveys, 58:6 (2003), 1185–1189
D. Novikov, S. Yu. Yakovenko, “Quasialgebraicity of Picard–Vessiot fields”, Mosc. Math. J., 3:2 (2003), 551–591
Moura C., “Bounds for the vanishing order for solutions of a linear differential system”, J. Dynam. Control Systems, 9:1 (2003), 73–88

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Труды Математического института имени В. А. Стеклова

Proceedings of the Steklov Institute of Mathematics

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