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Algebra i Analiz, 2001, Volume 13, Issue 6, Pages 56–123 (Mi aa983)  

This article is cited in 14 scientific papers (total in 14 papers)

Expository Surveys

Factorization of piecewise constant matrix functions and systems of linear differential equations

T. Ehrhardta, I. M. Spitkovskyb

a Technische Universität Chemnitz, Fakultät für Mathematik
b College of William and Mary
Received: 20.12.2000
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: T. Ehrhardt, I. M. Spitkovsky, “Factorization of piecewise constant matrix functions and systems of linear differential equations”, Algebra i Analiz, 13:6 (2001), 56–123; St. Petersburg Math. J., 13:6 (2002), 939–991
Citation in format AMSBIB
\Bibitem{EhrSpi01}
\by T.~Ehrhardt, I.~M.~Spitkovsky
\paper Factorization of piecewise constant matrix functions and systems of linear differential equations
\jour Algebra i Analiz
\yr 2001
\vol 13
\issue 6
\pages 56--123
\mathnet{http://mi.mathnet.ru/aa983}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1883840}
\zmath{https://zbmath.org/?q=an:1036.47009}
\transl
\jour St. Petersburg Math. J.
\yr 2002
\vol 13
\issue 6
\pages 939--991
Linking options:
  • https://www.mathnet.ru/eng/aa983
  • https://www.mathnet.ru/eng/aa/v13/i6/p56
  • This publication is cited in the following 14 articles:
    1. Giorgadze G., Gulagashvili G., “Riemann-Hilbert Boundary Value Problem With Piecewise Constant Transition Function”, J. Dyn. Control Syst., 28:1 (2022), 109–119  crossref  mathscinet  isi  scopus
    2. Giorgadze G., Gulagashvili G., “On the Splitting Type of Holomorphic Vector Bundles Induced From Regular Systems of Differential Equation”, Georgian Math. J., 29:1 (2022), 25–35  crossref  mathscinet  isi
    3. Rogosin S., Khvoshchinskaya L., “Construction of 2 X 2 Fuchsian System With Five Singular Points”, Lobachevskii J. Math., 42:4, SI (2021), 830–849  crossref  mathscinet  isi  scopus
    4. Primachuk L. Rogosin S., “Factorization of Triangular Matrix-Functions of An Arbitrary Order”, Lobachevskii J. Math., 39:1, SI (2018), 129–137  crossref  mathscinet  zmath  isi  scopus
    5. Primachuk L. Rogosin S., “Factorization of Triangular Matrix-Functions of An Arbitrary Order”, Lobachevskii J. Math., 39:6 (2018), 809–817  crossref  isi  scopus
    6. Rogosin S. Mishuris G., “Constructive methods for factorization of matrix-functions”, IMA J. Appl. Math., 81:2 (2016), 365–391  crossref  mathscinet  zmath  isi  elib  scopus
    7. Mishuris G., Rogosin S., “Factorization of a class of matrix-functions with stable partial indices”, Math. Meth. Appl. Sci., 39:13 (2016), 3791–3807  crossref  mathscinet  zmath  isi  elib  scopus
    8. Kisil A.V., “the Relationship Between a Strip Wiener-Hopf Problem and a Line Riemann–Hilbert Problem”, IMA J. Appl. Math., 80:5 (2015), 1569–1581  crossref  mathscinet  zmath  isi  scopus
    9. Mishuris G. Rogosin S., “An Asymptotic Method of Factorization of a Class of Matrix Functions”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 470:2166 (2014), 20140109  crossref  mathscinet  adsnasa  isi  elib  scopus
    10. Rogosin S.V., Speck F.-O., “On the analytical solution of the linear-fractional Riemann problem”, Math Nachr, 284:4 (2011), 543–559  crossref  mathscinet  zmath  isi  elib  scopus
    11. Mityushev, VV, “On the Riemann–Hilbert problem with a piecewise constant matrix”, Zeitschrift fur Analysis und Ihre Anwendungen, 27:1 (2008), 53  crossref  mathscinet  zmath  isi  scopus
    12. Karelin, A, “Applications of operator equalities to singular integral operators and to Riemann boundary value problems”, Mathematische Nachrichten, 280:9–10 (2007), 1108  crossref  mathscinet  zmath  isi  scopus
    13. Giorgadze G., Khimshiashvili G., “On Schrodinger equations of Okubo type”, Journal of Dynamical and Control Systems, 10:2 (2004), 171–186  crossref  mathscinet  zmath  isi  scopus
    14. Ehrhardt T., Speck F.O., “Transformation techniques towards the factorization of non–rational 2 x 2 matrix functions”, Linear Algebra and Its Applications, 353 (2002), 53–90  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
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    Алгебра и анализ St. Petersburg Mathematical Journal
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