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

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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… Click to show full 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.

Keywords: explicit solution; elliptic function; integral equation; function kernel

Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2019

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