Geodesic
On a~problem with three variants of shift conditions for mixed type equation
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 32-45

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For mixed type equation we study a problem where shift conditions are given in inner characteristic, on degeneration line, and on the boundary of elliptic domain. 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 the existence of a solution to the problem.
Mots-clés : singular coefficient
Keywords: internal characteristics, Wiener–Hopf equation, index equation. 
@article{IVM_2016_4_a4,
     author = {M. Mirsaburov and S. T. Chorieva},
     title = {On a~problem with three variants of shift conditions for mixed type equation},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {32--45},
     publisher = {mathdoc},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_4_a4/}
}
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M. Mirsaburov; S. T. Chorieva. On a~problem with three variants of shift conditions for mixed type equation. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2016), pp. 32-45. http://geodesic.mathdoc.fr/item/IVM_2016_4_a4/