Methods for solving a singular integral equation with Cauchy kernel on the real line

dc.contributor.author	Gabdulkhaev B.
dc.contributor.author	Tikhonov I.
dc.date.accessioned	2018-09-18T20:02:55Z
dc.date.available	2018-09-18T20:02:55Z
dc.date.issued	2008
dc.identifier.issn	0012-2661
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/136054
dc.description.abstract	We study exact and approximate methods for solving a singular integral equation with Cauchy kernel on the real line. On the basis of the theory of positive operators, we prove an existence and uniqueness theorem for this equation in the space of Lebesgue square integrable functions. This theorem is then used to give a theoretical justification of general projection and projection-iteration methods as well as an iteration method for solving this equation. © 2008 MAIK Nauka.
dc.relation.ispartofseries	Differential Equations
dc.title	Methods for solving a singular integral equation with Cauchy kernel on the real line
dc.type	Article
dc.relation.ispartofseries-issue	7
dc.relation.ispartofseries-volume	44
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	980
dc.source.id	SCOPUS00122661-2008-44-7-SID52949083920

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Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.