Geodesic
On a~generalization of Bitsadze--Samarskii equation for mixed type equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 36-40.

Voir la notice de l'article provenant de la source Math-Net.Ru

For mixed type equation we study a problem with Bitsadze–Samarskii conditions on boundary characteristic on special inner curve and on a segment of degeneration. With the help of the maximum principle we prove uniqueness of a solution to the problem and with the help of the method of integral equations we prove its existence.
Keywords: Bitsadze–Samarskii condition, functional equation, Tricomi type integral equation, index. 
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     title = {On a~generalization of {Bitsadze--Samarskii} equation for mixed type equation},
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M. Mirsaburov; I. N. Khairullaev; U. E. Bobomurodov. On a~generalization of Bitsadze--Samarskii equation for mixed type equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 36-40. http://geodesic.mathdoc.fr/item/IVM_2016_10_a4/

[1] Bitsadze A. V., Samarskii A. A., “O nekotorykh prosteishikh obobscheniyakh lineinykh ellipticheskikh kraevykh zadach”, DAN SSSR, 185:4 (1969), 739–740 | Zbl

[2] Smirnov M. M., Uravneniya smeshannogo tipa, Vyssh. shkola, M., 1985 | MR

[3] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981 | MR

[4] Mikhlin S. G., “Ob integralnom uravnenii F. Trikomi”, DAN SSSR, 59:6 (1948), 1053–1056