On the Unique Solvability of the Boundary-Value Problems for Fredholm Integrodifferential Equations with Degenerate Kernel


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Abstract

We study a linear boundary-value problem for systems of Fredholm integrodifferential equations with degenerate kernels and present the definition of ν-regular partition of the interval. The coefficient necessary and sufficient conditions for the unique solvability of the considered problem are established.

About the authors

D. S. Dzhumabaev

Institute of Mathematics and Mathematical Simulation, Ministry of Education and Science of Kazakhstan Republic

Author for correspondence.
Email: dzhumabaev@list.ru
Kazakhstan, Pushkin Str. 125, Alma-Ata, 050010

É. A. Bakirova

Institute of Mathematics and Mathematical Simulation, Ministry of Education and Science of Kazakhstan Republic

Email: dzhumabaev@list.ru
Kazakhstan, Pushkin Str. 125, Alma-Ata, 050010

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