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Solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities

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Abstract

A new approach is used to show that the solution for one class of systems of linear Fredholm integral equations of the third kind with multipoint singularities is equivalent to the solution of systems of linear Fredholm integral equations of the second kind with additional conditions. The existence, nonexistence, uniqueness, and nonuniqueness of solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities are analyzed.

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Kyrgyzstan, Bishkek, 720071, Kyrgyzstan

    M. I. Imanaliev

  2. Kyrgyz-Turkish Manas University, Bishkek, 720044, Kyrgyzstan

    A. Asanov

  3. Kyrgyz National Technical University, Bishkek, 720044, Kyrgyzstan

    R. A. Asanov

Authors
  1. M. I. Imanaliev
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  2. A. Asanov
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  3. R. A. Asanov
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Corresponding authors

Correspondence to A. Asanov or R. A. Asanov.

Additional information

Original Russian Text © M.I. Imanaliev, A. Asanov, R.A. Asanov, 2017, published in Doklady Akademii Nauk, 2017, Vol. 474, No. 4, pp. 405–409.

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Imanaliev, M.I., Asanov, A. & Asanov, R.A. Solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities. Dokl. Math. 95, 235–239 (2017). https://doi.org/10.1134/S1064562417030140

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  • DOI: https://doi.org/10.1134/S1064562417030140

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