Geodesic
A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2022), pp. 70-82

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In an unbounded domain, for the Gellerstedt equation with a singular coefficient, uniqueness and existence theorems for the solution of a problem with displacement condition on the internal characteristics and a condition like the Frankl condition on the degeneration segment of the equation are proved.
Keywords: unbounded domain, displacement conditions on internal characteristics, Tricomi singular integral equation with displacement in the "nonsingular", part of the kernel, non-Fredholm operator in the non-characteristic part of the equation, Wiener-Hopf equation, index.
Mots-clés : residue 
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     author = {U. M. Mirsaburova},
     title = {A problem with displacement on internal characteristics in an unbounded domain for the {Gellerstedt} equation with a singular coefficient},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {70--82},
     publisher = {mathdoc},
     number = {9},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_9_a6/}
}
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U. M. Mirsaburova. A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2022), pp. 70-82. http://geodesic.mathdoc.fr/item/IVM_2022_9_a6/