Solutions to systems of linear Fredholm integral equations of the third kind with multipoint singularities
- Authors: Imanaliev M.I.1, Asanov A.2, Asanov R.A.3
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Affiliations:
- Institute of Mathematics
- Kyrgyz-Turkish Manas University
- Kyrgyz National Technical University
- Issue: Vol 95, No 3 (2017)
- Pages: 235-239
- Section: Mathematics
- URL: https://journal-vniispk.ru/1064-5624/article/view/225057
- DOI: https://doi.org/10.1134/S1064562417030140
- ID: 225057
Cite item
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.
About the authors
M. I. Imanaliev
Institute of Mathematics
Email: ruhidin_asanov@yahoo.com
Kyrgyzstan, Bishkek, 720071
A. Asanov
Kyrgyz-Turkish Manas University
Author for correspondence.
Email: avyt.asanov@mail.ru
Kyrgyzstan, Bishkek, 720044
R. A. Asanov
Kyrgyz National Technical University
Author for correspondence.
Email: ruhidin_asanov@yahoo.com
Kyrgyzstan, Bishkek, 720044
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