A METHOD OF CONSTRUCTION OF THE SOLUTION OF SINGULAR INTEGRAL EQUATION WITH CAUCHY KERNEL
DOI:
https://doi.org/10.46991/PYSU:A/2007.47.1.003Keywords:
Cauchy kernel, singular integral equations, boundary-value problemsAbstract
Basing on the methods of the theory of boundary-value problems for analytic functions, the paper constructs generalized eigenfunctions of integral operator generating by Cauchy kernel in a finite interval. Further formulas for generalized integral Fourier transform by these eigenfunctions are obtained. Then the results are applied to construct solutions of singular integral equations with Cauchy kernel and constant coefficients.
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Published
2007-03-05
How to Cite
Grigoryan, A. B. (2007). A METHOD OF CONSTRUCTION OF THE SOLUTION OF SINGULAR INTEGRAL EQUATION WITH CAUCHY KERNEL. Proceedings of the YSU A: Physical and Mathematical Sciences, 41(1 (212), 3–16. https://doi.org/10.46991/PYSU:A/2007.47.1.003
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Mathematics
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Copyright (c) 2007 Proceedings of the YSU
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