Abstract
The differential boundary value problem in case of several unknown functions is considered. The necessary and sufficient solvability conditions and the index formula are established.
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References
Khvedelidze, B.V. (1957) Linear discontinuous boundary value problems of the theory of functions, singular integral equations and some applications, Proc. of Tbilisi Math. Inst., Vol. 23, pp. 3–158 (Russian).
Muskhelishvili, N.I. (1953) Singular integral equations, Noordho, Groningen.
Vekua, N.P. (1967) Systems of singular integral equations, Noordho, Groningen.
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© 2004 Kluwer Academic Publishers
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Manjavieze, N. (2004). The Riemann-Hilbert Boundary Value Problem on a Cut Plane. In: Barsegian, G.A., Begehr, H.G.W. (eds) Topics in Analysis and its Applications. NATO Science Series II: Mathematics, Physics and Chemistry, vol 147. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2128-3_7
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DOI: https://doi.org/10.1007/1-4020-2128-3_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2062-9
Online ISBN: 978-1-4020-2128-2
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