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Sibirskii Matematicheskii Zhurnal, 1979, Volume 20, Number 2, Pages 445–448 (Mi smj3869)  

This article is cited in 12 scientific papers (total in 12 papers)

Notes department

Inversion of an integral operator by the method of expansion with respect to orthogonal Watson operators

Yu. A. Shub-Sizonenko

N.E. Zhukovsky Military Engineering Academy
Received: 15.04.1975
English version:
Siberian Mathematical Journal, 1979, Volume 20, Issue 2, Pages 318–321
DOI: https://doi.org/10.1007/BF00970048
Bibliographic databases:
Document Type: Article
UDC: 517.43
Language: Russian
Citation: Yu. A. Shub-Sizonenko, “Inversion of an integral operator by the method of expansion with respect to orthogonal Watson operators”, Sibirsk. Mat. Zh., 20:2 (1979), 445–448; Siberian Math. J., 20:2 (1979), 318–321
Citation in format AMSBIB
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\by Yu.~A.~Shub-Sizonenko
\paper Inversion of an integral operator by the method of expansion with respect to orthogonal Watson operators
\jour Sibirsk. Mat. Zh.
\yr 1979
\vol 20
\issue 2
\pages 445--448
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0530516}
\zmath{https://zbmath.org/?q=an:0446.45005}
\transl
\jour Siberian Math. J.
\yr 1979
\vol 20
\issue 2
\pages 318--321
\crossref{https://doi.org/10.1007/BF00970048}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=WOS:A1979JA61300031}
Linking options:
  • https://www.mathnet.ru/eng/smj3869
  • https://www.mathnet.ru/eng/smj/v20/i2/p445
  • This publication is cited in the following 12 articles:
    1. M. Toranj-Simin, M. Hadizadeh, “A priori mesh grading in collocation solution of noncompact Volterra integral equations with diagonal singularity”, International Journal of Computer Mathematics, 100:5 (2023), 1078  crossref
    2. Mohammad Toranj-Simin, Mahmoud Hadizadeh, “On a class of noncompact weakly singular Volterra integral equations: theory and application to fractional differential equations with variable coefficient”, J. Integral Equations Applications, 32:2 (2020)  crossref
    3. Hongjiu Wang, Zhanwen Yang, Melusi Khumalo, “Cordial Volterra Integral Equations with Vanishing Delays*”, JAMP, 05:02 (2017), 294  crossref
    4. Z. W. Yang, “Second-Kind Linear Volterra Integral Equations with Noncompact Operators”, Numerical Functional Analysis and Optimization, 36:1 (2015), 104  crossref
    5. Pedro Lima, Teresa Diogo, “Numerical solution of a nonuniquely solvable Volterra integral equation using extrapolation methods”, Journal of Computational and Applied Mathematics, 140:1-2 (2002), 537  crossref
    6. Guoqiang Han, Ken Hayami, Wang Jiong, “Product integration method for Volterra integral equation with noncompact kernel”, Applied Mathematics and Computation, 121:2-3 (2001), 363  crossref
    7. Pedro Lima, Teresa Diogo, “An extrapolation method for a Volterra integral equation with weakly singular kernel”, Applied Numerical Mathematics, 24:2-3 (1997), 131  crossref
    8. Weimin Han, “Existence, Uniqueness and Smoothness Results for Second-Kind Volterra Equations with Weakly-Singular Kernels”, J. Integral Equations Applications, 6:3 (1994)  crossref
    9. Tao Tang, Sean McKee, Teresa Diogo, “Product integration methods for an integral equation with logarithmic singular kernel”, Applied Numerical Mathematics, 9:3-5 (1992), 259  crossref
    10. W. Lamb, “A spectral approach to an integral equation”, Glasgow Math. J., 26:1 (1985), 83  crossref
    11. P. G. Rooney, “On an integral equation of Šub-Sizonenko”, Glasgow Math. J., 24:2 (1983), 207  crossref
    12. M. A. Bartoshevich, A. P. Prudnikov, “Use of Watson operations in the solution of some problems in the theory of thermal conductivity”, Journal of Engineering Physics, 37:3 (1979), 1094  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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