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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 54–59 (Mi ivm1462)  
This article is cited in 1 scientific paper (total in 1 paper)

Solution of certain weakly singular integral equations of the first kind with indefinite parameters

L. A. Surai

Chair of Theory of Electrical Engineering, Kazan State Energy University, Kazan, Russia
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Abstract: In this paper we study a two-dimensional weakly singular integral equation of the first kind with a logarithmic kernel. We construct a pair of spaces of the desired elements and the right-hand sides, where we prove the correctness of the problem under consideration and obtain inversion formulas for the integral operator.
Keywords: two-dimensional integral equation of the first kind, logarithmic kernel, inversion formulas for an integral operator.
Received: 09.04.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 6, Pages 44–48
DOI: https://doi.org/10.3103/S1066369X09060073
Bibliographic databases:
UDC: 517.968
Language: Russian
Citation: L. A. Surai, “Solution of certain weakly singular integral equations of the first kind with indefinite parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6, 54–59; Russian Math. (Iz. VUZ), 53:6 (2009), 44–48
Citation in format AMSBIB
\Bibitem{Sur09}
\by L.~A.~Surai
\paper Solution of certain weakly singular integral equations of the first kind with indefinite parameters
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 6
\pages 54--59
\mathnet{http://mi.mathnet.ru/ivm1462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2583999}
\zmath{https://zbmath.org/?q=an:05621429}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 6
\pages 44--48
\crossref{https://doi.org/10.3103/S1066369X09060073}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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