On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 289-297
Voir la notice de l'article provenant de la source Math-Net.Ru
The convergence in the mean-square metric of the Lavrent'ev regularization method for an integral equation with involution is established. The proof of the convergence is based on studying the behavior of the resolvent of a certain integro-differential equation related to the original equation.
Keywords:
integral equation, regularization, involution, resolvent.
@article{TIMM_2012_18_1_a23,
author = {A. P. Khromov and G. V. Khromova},
title = {On the convergence of the {Lavrent'ev} method for an integral equation of the first kind with involution},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {289--297},
publisher = {mathdoc},
volume = {18},
number = {1},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a23/}
}
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A. P. Khromov; G. V. Khromova. On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 289-297. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a23/