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

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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. 
@article{IVM_2016_10_a4,
     author = {M. Mirsaburov and I. N. Khairullaev and U. E. Bobomurodov},
     title = {On a~generalization of {Bitsadze--Samarskii} equation for mixed type equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {36--40},
     publisher = {mathdoc},
     number = {10},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_10_a4/}
}
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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/