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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 8, Pages 75–82 (Mi ivm9389)  

This article is cited in 5 scientific papers (total in 5 papers)

Brief communications

On direct and inverse problems of logarithmic potential with finite number of parameters

N. R. Abubakirov, L. A. Aksent'ev

Kazan Federal University, 18 Kremlyovskaya str., Kazan, 420008 Russia
Full-text PDF (179 kB) Citations (5)
References:
Abstract: We prescribe possibilities of realizing V. K. Ivanov's method for solving inverse problems of logarithmic potential and that of A. V. Tsirul'skii's method for solving direct problems of logarithmic potential. We solve two direct problems for logarithmic potential and for potential of simple layer in the case of polygonal contour.
Keywords: logarithmic potential, integral equation.
Received: 30.01.2018
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 8, Pages 64–70
DOI: https://doi.org/10.3103/S1066369X18080091
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: N. R. Abubakirov, L. A. Aksent'ev, “On direct and inverse problems of logarithmic potential with finite number of parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8, 75–82; Russian Math. (Iz. VUZ), 62:8 (2018), 64–70
Citation in format AMSBIB
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\issue 8
\pages 75--82
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\jour Russian Math. (Iz. VUZ)
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\vol 62
\issue 8
\pages 64--70
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  • https://www.mathnet.ru/eng/ivm9389
  • https://www.mathnet.ru/eng/ivm/y2018/i8/p75
  • This publication is cited in the following 5 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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    Abstract page:189
    Full-text PDF :42
    References:27
    First page:8
     
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