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.

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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