Geodesic
A problem with nonlocal conditions for mixed-type equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 35-42

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We study a problem with Bitsadze–Samarskii conditions on a boundary of ellipticity and on a segment of line of degeneration with a condition of boundary characteristics of the Gellerstedt equation with singular coefficient. 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: uniqueness of solution to a problem, Wiener–Hopf equation, index of an equation. 
@article{IVM_2014_10_a4,
     author = {Gulbakhor M. Mirsaburova},
     title = {A problem with nonlocal conditions for mixed-type equations},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {35--42},
     publisher = {mathdoc},
     number = {10},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2014_10_a4/}
}
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Gulbakhor M. Mirsaburova. A problem with nonlocal conditions for mixed-type equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2014), pp. 35-42. http://geodesic.mathdoc.fr/item/IVM_2014_10_a4/