On the theory of the~Carleman--Vekua equation with a~singular point
Sbornik. Mathematics, Tome 78 (1994) no. 2, pp. 357-365
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An integral representation is constructed and sufficient conditions are obtained for the existence of continuous solutions of the Carleman–Vekua equation with a singular point. The Riemann–Hilbert problem is analyzed for such an equation in the class of continuous functions.
@article{SM_1994_78_2_a4,
author = {A. Tungatarov},
title = {On the theory of {the~Carleman--Vekua} equation with a~singular point},
journal = {Sbornik. Mathematics},
pages = {357--365},
publisher = {mathdoc},
volume = {78},
number = {2},
year = {1994},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1994_78_2_a4/}
}
A. Tungatarov. On the theory of the~Carleman--Vekua equation with a~singular point. Sbornik. Mathematics, Tome 78 (1994) no. 2, pp. 357-365. http://geodesic.mathdoc.fr/item/SM_1994_78_2_a4/