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

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

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.

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Veröffentlicht in:Lobachevskii journal of mathematics 2019-12, Vol.40 (12), p.2090-2094
Hauptverfasser: Maslyukova, T. I., Rogosin, S. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Boundary value problems
Elliptic functions
Geometry
Integral equations
Kernels
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Operators (mathematics)
Probability Theory and Stochastic Processes
Riemann surfaces
Singular integral equations
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Beschreibung
Zusammenfassung: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.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080219120096