Geodesic
Solution of certain weakly singular integral equations of the first kind with indefinite parameters
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 54-59

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In this paper we study a two-dimensional weakly singular integral equation of the first kind with a logarithmic kernel. We construct a pair of spaces of the desired elements and the right-hand sides, where we prove the correctness of the problem under consideration and obtain inversion formulas for the integral operator.
Keywords: two-dimensional integral equation of the first kind, logarithmic kernel, inversion formulas for an integral operator. 
L. A. Surai. Solution of certain weakly singular integral equations of the first kind with indefinite parameters. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2009), pp. 54-59. http://geodesic.mathdoc.fr/item/IVM_2009_6_a6/
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