Abstract
We discuss scalar Riemann–Hilbert problems for circular multiply connected domains considered by Mityushev (Functional Equations in Mathematical Analysis, pp. 599–632, 2012). The main attention is paid to the \(\mathbb{R}\)-linear and the Schwarz problems. Some details concerning applications of the metod of functional equation, outlined in Functional Equations in Mathematical Analysis, pp. 599–632, 2012 are extended in the present paper.
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References
V. Mityushev, Scalar Riemann–Hilbert problem for multiply connected domains, in Functional Equations in Mathematical Analysis. Springer Optimization and Its Applications, vol. 52, ed. by Th.M. Rassias, J. Brzdek (Springer Science and Business Media, LLC, Berlin, 2012), pp. 599–632. doi:10.1007/978-1-4614-0055-438
M.A. Krasnosel’skii, Ja.B. Rutitcki, V.Ja. Stecenko, G.M. Vainikko, P.P. Zabreiko, Approximate Solutions of Operator Equations (Walters–Noordhoff Publ., Groningen, 1972)
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Tytuła, A. (2015). Riemann–Hilbert Problem for Multiply Connected Domains. In: Mityushev, V., Ruzhansky, M. (eds) Current Trends in Analysis and Its Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-12577-0_6
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DOI: https://doi.org/10.1007/978-3-319-12577-0_6
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-12576-3
Online ISBN: 978-3-319-12577-0
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