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Explicit Solution to an Integral Equation with Elliptic Function in the Kernel


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Abstract

It is found the spectrum of a singular integral operator on the compound contour with elliptic function in the kernel. Explicit solution of the corresponding singular integral equation is constructed by applying its reduction to the boundary value problem on the Riemann surface.

About the authors

T. I. Maslyukova

Faculty of Economics

Author for correspondence.
Email: masljukova@bsu.by
Belarus, Minsk, BY-220030

S. V. Rogosin

Faculty of Economics

Author for correspondence.
Email: rogosin@bsu.by
Belarus, Minsk, BY-220030

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