Closed-form solutions for some classes of singular integral equations with Cauchy kernel and infinite integration domain |
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Authors: | M A Sheshko S M Sheshko |
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Institution: | 1.John Paul II Catholic University of Lublin,Lublin,Poland;2.Belarusian State University,Minsk,Belarus |
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Abstract: | We obtain closed-form solutions of singular integral equations with Cauchy kernels in the case of an infinite integration domain. Further, we find natural conditions for the uniqueness of solutions of these equations for the case in which the solution contains arbitrary functions or arbitrary constants. |
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