Geodesic
On the theory of the Carleman–Vekua equation with a singular point
Sbornik. Mathematics, Tome 78 (1994) no. 2, pp. 357-365 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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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/

[1] Mikhailov L. G., Novyi klass osobykh integralnykh uravnenii i ego prilozheniya k differentsialnym uravneniyam s singulyarnymi koeffitsientami, Irfon, Dushanbe, 1963

[2] Usmanov Z. D., “Beskonechno malye izgibaniya poverkhnostei polozhitelnoi krivizny s tochkoi uploscheniya”, Differential Geometry, Banach Center Publications, 12, Warsaw, 1984, 241–272 | MR | Zbl

[3] Usmanov Z. D., “O beskonechno malykh izgibaniyakh poverkhnostei polozhitelnoi krivizny s izolirovannoi tochkoi uploscheniya”, Matem. sb., 83 (125):4 (12) (1970), 596–615 | MR | Zbl

[4] Vekua I. N., Obobschennye analiticheskie funktsii, Fizmatgiz, M., 1959 | MR

[5] Usmanov Z. D., “Ob odnom klasse obobschennykh sistem Koshi–Rimana s singulyarnoi tochkoi”, Sib. matem. zhurnal., 14:5 (1973), 1076–1087 | MR | Zbl

[6] Monakhov V. N., Kraevye zadachi so svobodnymi granitsami dlya ellipticheskikh sistem uravnenii, Nauka, Novosibirsk, 1977 | MR

[7] Bitsadze A. V., Osnovy teorii analiticheskikh funktsii kompleksnogo peremennogo, Nauka, M., 1984 | MR