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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 12, Pages 28–35 (Mi ivm6022)  
This article is cited in 2 scientific papers (total in 2 papers)

Solution of singular integral equations by the method of oscillating functions

L. B. Ermolaeva

Chair of Applied Mathematics, Kazan State Architecture and Building University, Kazan, Russia
Full-text PDF (194 kB) Citations (2)
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Abstract: In this paper we consider a singular integral equation with the Hilbert kernel in the space of summable complex-valued $2\pi$-periodic functions with the usual norm. We theoretically justify the proposed method, establish its convergence, and estimate the error.
Keywords: singular integral equation with the Hilbert kernel, average convergence, uniform convergence, error estimates.
Received: 17.09.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 12, Pages 23–29
DOI: https://doi.org/10.3103/S1066369X09120044
Bibliographic databases:
UDC: 517.968+519.64
Language: Russian
Citation: L. B. Ermolaeva, “Solution of singular integral equations by the method of oscillating functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 12, 28–35; Russian Math. (Iz. VUZ), 53:12 (2009), 23–29
Citation in format AMSBIB
\Bibitem{Erm09}
\by L.~B.~Ermolaeva
\paper Solution of singular integral equations by the method of oscillating functions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 12
\pages 28--35
\mathnet{http://mi.mathnet.ru/ivm6022}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2664470}
\zmath{https://zbmath.org/?q=an:1187.65141}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 12
\pages 23--29
\crossref{https://doi.org/10.3103/S1066369X09120044}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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