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Inversion of the Cauchy Integral Taken over the Double Periodic Line
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N. Khatiashvili
Published/Copyright:
February 26, 2010
Abstract
The Cauchy type singular integral equation is investigated when the line of integration is the union of a countable number of disconnected segments. The equation is equivalently reduced to an equation with double periodic kernel. Effective solutions having integrable singularities at the end-points of the line of integration are obtained.
Key words and phrases:: Singular integral equations; double-periodic functions
Received: 2001-12-12
Published Online: 2010-02-26
Published in Print: 2003-March
© Heldermann Verlag
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Articles in the same Issue
- On One Theorem of S. Warschawski
- Investigation of Two-Dimensional Models of Elastic Prismatic Shell
- Branched Coverings and Minimal Free Resolution for Infinite-Dimensional Complex Spaces
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- On Maximal 𝑜𝑡-Subsets of the Euclidean Plane
- Inversion of the Cauchy Integral Taken over the Double Periodic Line
- Singular Integrals in Weighted Lebesgue Spaces with Variable Exponent
- Local Growth of Weierstrass σ-Function and Whittaker-Type Derivative Sampling
- Sturm–Liouville and Focal Higher Order BVPs with Singularities in Phase Variables
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