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/}
}
TY - JOUR AU - S. N. Kiyasov TI - Some cases of the solvability in a~closed form of singular integral equations and two-dimensional characteristic systems JO - Izvestiâ vysših učebnyh zavedenij. Matematika PY - 2011 SP - 54 EP - 71 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IVM_2011_4_a5/ LA - ru ID - IVM_2011_4_a5 ER -
%0 Journal Article %A S. N. Kiyasov %T Some cases of the solvability in a~closed form of singular integral equations and two-dimensional characteristic systems %J Izvestiâ vysših učebnyh zavedenij. Matematika %D 2011 %P 54-71 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/IVM_2011_4_a5/ %G ru %F IVM_2011_4_a5
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/