Geodesic
Some cases of the solvability in a~closed form of singular integral equations and two-dimensional characteristic systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 54-71

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We consider the characteristic system of singular integral equations for two unknown functions. We obtain certain relations connecting coefficients of the system which allow one to solve the latter in a closed form. Based on the obtained results, we consider cases of the solvability in a closed form for one class of singular integral equations.
Keywords: matrix-function, factorization, singular integral equation, linear boundary value problem. 
@article{IVM_2011_4_a5,
     author = {S. N. Kiyasov},
     title = {Some cases of the solvability in a~closed form of singular integral equations and two-dimensional characteristic systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {54--71},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2011_4_a5/}
}
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S. N. Kiyasov. Some cases of the solvability in a~closed form of singular integral equations and two-dimensional characteristic systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2011), pp. 54-71. http://geodesic.mathdoc.fr/item/IVM_2011_4_a5/