On some constructive methods for the matrix Riemann-Hilbert boundary value problem

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http://eprints.org/relation/isVersionOf http://eprints.iliauni.edu.ge/id/document/13467 http://eprints.org/relation/isVolatileVersionOf http://eprints.iliauni.edu.ge/id/document/13467 http://eprints.org/relation/isIndexCodesVersionOf http://eprints.iliauni.edu.ge/id/document/13467 archive 4139 disk0/00/00/28/82 2015-06-22 05:36:14 2015-06-22 05:36:14 2015-06-22 05:36:14 article 1992 show Manjavidze Nino nino.manjavidze@iliauni.edu.ge Giorgadze Grigori On some constructive methods for the matrix Riemann-Hilbert boundary value problem pub QA fac_eng public In this paper we consider the relations between the Riemann–Hilbert monodromy problem and the matrix Riemann–Hilbert boundary-value problem with piecewise continuous coefficient and construct the so-called canonical matrix for the boundary-value problem for a piecewise continuous matrix-function. The formula for the calculation of the index is also obtained. 2013 published Journal of Mathematical Sciences. 195 2 USA, Springer 146-174 TRUE