Subdomains method for solution of a~singular first kind integral equation with Cauchy kernel
Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 1, pp. 50-56
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The method of subdomains solution of a singular integral equation of the first kind with Cauchy kernel is investigated. A pair of weight spaces, which are the narrowing of the space of continuous functions are introduced. The correctness of the equations on this pair of spaces is proved. Sufficient conditions for the convergence of the method of subdomains in the uniform metric are established.
@article{VMJ_2014_16_1_a5,
author = {L. E. Hajrullina and G. Z. Habibullina},
title = {Subdomains method for solution of a~singular first kind integral equation with {Cauchy} kernel},
journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
pages = {50--56},
publisher = {mathdoc},
volume = {16},
number = {1},
year = {2014},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a5/}
}
TY - JOUR AU - L. E. Hajrullina AU - G. Z. Habibullina TI - Subdomains method for solution of a~singular first kind integral equation with Cauchy kernel JO - Vladikavkazskij matematičeskij žurnal PY - 2014 SP - 50 EP - 56 VL - 16 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a5/ LA - ru ID - VMJ_2014_16_1_a5 ER -
%0 Journal Article %A L. E. Hajrullina %A G. Z. Habibullina %T Subdomains method for solution of a~singular first kind integral equation with Cauchy kernel %J Vladikavkazskij matematičeskij žurnal %D 2014 %P 50-56 %V 16 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a5/ %G ru %F VMJ_2014_16_1_a5
L. E. Hajrullina; G. Z. Habibullina. Subdomains method for solution of a~singular first kind integral equation with Cauchy kernel. Vladikavkazskij matematičeskij žurnal, Tome 16 (2014) no. 1, pp. 50-56. http://geodesic.mathdoc.fr/item/VMJ_2014_16_1_a5/