On theory of multivalent solutions for Riemann Hilbert problem

• Published in: Труды Института прикладной математики и механики
• Date: 2015
• Main Author: Ryazanov, V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/140841
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On theory of multivalent solutions for Riemann Hilbert problem / V. Ryazanov // Труды Института прикладной математики и механики НАН Украины. — Слов’янськ: ІПММ НАН України, 2015. — Т. 29. — С. 87-93. — Бібліогр.: 19 назв. — англ.

It is proved the existence of multivalent solutions for the Riemann–Hilbert problem in the general settings of finitely connected domains bounded by mutually disjoint Jordan curves, measurable coefficients and measurable boundary data. The theorem is formulated in terms of harmonic measure and princ...