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Matematicheskie Zametki, 2006, Volume 79, Issue 6, Pages 803–824
DOI: https://doi.org/10.4213/mzm2756 (Mi mzm2756) 		 
This article is cited in 7 scientific papers (total in 7 papers)

A new constructive method for solving singular integral equations

R. A. Aliyev

Baku State University
Full-text PDF (327 kB) Citations (7)
References:
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DOI: https://doi.org/10.4213/mzm2756
Abstract: In this paper, a new method for the approximate solution of linear singular integral equations defined on smooth closed curves is proposed and justified.
Received: 13.01.2000
Revised: 28.11.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 6, Pages 749–770
DOI: https://doi.org/10.1007/s11006-006-0088-5
Bibliographic databases:
UDC: 517.988.8
Language: Russian
Citation: R. A. Aliyev, “A new constructive method for solving singular integral equations”, Mat. Zametki, 79:6 (2006), 803–824; Math. Notes, 79:6 (2006), 749–770
Citation in format AMSBIB
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  • https://doi.org/10.4213/mzm2756
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    • This publication is cited in the following 7 articles:
    1. Rashid Aliev, Lale Alizade, “Approximation of the Hilbert transform in the Lebesgue spaces”, J. Numer. Anal. Approx. Theory, 52:2 (2023), 139  crossref
    2. M. N. Bakhshaliyeva, E. H. Khalilov, “Justification of the collocation method for an integral equation of the exterior Dirichlet problem for the Laplace equation”, Comput. Math. Math. Phys., 61:6 (2021), 923–937  mathnet  mathnet  crossref  crossref  isi  scopus
    3. R. A. Aliev, Ch. A. Gadzhieva, “Ob approksimatsii preobrazovaniya Gilberta”, Tr. IMM UrO RAN, 25, no. 2, 2019, 30–41  mathnet  crossref  elib
    4. Gadjieva Ch.A., “A New Approximate Method For Solving Hypersingular Integral Equations With Hilbert”, Proc. Inst. Math. Mech., 43:2 (2017), 316–329  mathscinet  zmath  isi
    5. Aliev R.A., Gadjieva Ch.A., “Approximation of Hypersingular Integral Operators With Cauchy Kernel”, Numer. Funct. Anal. Optim., 37:9 (2016), 1055–1065  crossref  mathscinet  zmath  isi  elib  scopus
    6. Gadjieva Ch.A., “a New Constructive Method For Solving of Bisingular Integral Equations With Cauchy Kernel”, Proc. Inst. Math. Mech., 42:1 (2016), 50–66  mathscinet  zmath  isi
    7. R. A. Aliev, A. F. Amrakhova, “Konstruktivnyi metod resheniya singulyarnykh integralnykh uravnenii s yadrom Gilberta”, Tr. IMM UrO RAN, 18, no. 4, 2012, 14–25  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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