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. 
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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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