On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 54-60
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The article presents the study of the boundary problem for singular integro-differential equation of the first kind with Cauchy kernel. The authors introduce the pair of weight spaces to prove the correctness of the stated problem. The article states the sufficient conditions for the convergence of the general direct method, the method of orthogonal polynomials, and as a result uniform estimates for errors of approximate solution.
Keywords:
singular integro-differential equation, approximate solution, correctness of the problem.
@article{VSGU_2013_6_a5,
author = {A. V. Ozhegova and L. E. Hajrullina},
title = {On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {54--60},
publisher = {mathdoc},
number = {6},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2013_6_a5/}
}
TY - JOUR AU - A. V. Ozhegova AU - L. E. Hajrullina TI - On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2013 SP - 54 EP - 60 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGU_2013_6_a5/ LA - ru ID - VSGU_2013_6_a5 ER -
%0 Journal Article %A A. V. Ozhegova %A L. E. Hajrullina %T On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind %J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ %D 2013 %P 54-60 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/item/VSGU_2013_6_a5/ %G ru %F VSGU_2013_6_a5
A. V. Ozhegova; L. E. Hajrullina. On the uniform convergence of the approximate solution of singular integro-differential equation of the first kind. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 54-60. http://geodesic.mathdoc.fr/item/VSGU_2013_6_a5/