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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2012, Volume 18, Number 1, Pages 289–297 (Mi timm798)  
This article is cited in 1 scientific paper (total in 1 paper)

On the convergence of the Lavrent'ev method for an integral equation of the first kind with involution

A. P. Khromov, G. V. Khromova

Saratov State University
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Abstract: 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.
Received: 25.05.2011
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2013, Volume 280, Issue 1, Pages 88–97
DOI: https://doi.org/10.1134/S0081543813020089
Bibliographic databases:
Document Type: Article
UDC: 519.642.8
Language: Russian
Citation: 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 Inst. Mat. i Mekh. UrO RAN, 18, no. 1, 2012, 289–297; Proc. Steklov Inst. Math. (Suppl.), 280, suppl. 1 (2013), 88–97
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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