Geodesic
A nonlocal problem for a~mixed-type equation with a~singular coefficient in an unbounded domain
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 41-49

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In this paper we study a nonlocal problem for a mixed-type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle. With the help of the method of integral equations and the principle of extremum we prove the unique solvability of the considered problem.
Keywords: principle of extremum, unique solvability
Mots-clés : existence of a solution, singular coefficient. 
@article{IVM_2010_11_a3,
     author = {M. Kh. Ruziev},
     title = {A nonlocal problem for a~mixed-type equation with a~singular coefficient in an unbounded domain},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {41--49},
     publisher = {mathdoc},
     number = {11},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_11_a3/}
}
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M. Kh. Ruziev. A nonlocal problem for a~mixed-type equation with a~singular coefficient in an unbounded domain. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2010), pp. 41-49. http://geodesic.mathdoc.fr/item/IVM_2010_11_a3/