Abstract:
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.
Citation:
L. A. Surai, “Solution of certain weakly singular integral equations of the first kind with indefinite parameters”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6, 54–59; Russian Math. (Iz. VUZ), 53:6 (2009), 44–48
\Bibitem{Sur09}
\by L.~A.~Surai
\paper Solution of certain weakly singular integral equations of the first kind with indefinite parameters
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 6
\pages 54--59
\mathnet{http://mi.mathnet.ru/ivm1462}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2583999}
\zmath{https://zbmath.org/?q=an:05621429}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 6
\pages 44--48
\crossref{https://doi.org/10.3103/S1066369X09060073}
Linking options:
https://www.mathnet.ru/eng/ivm1462
https://www.mathnet.ru/eng/ivm/y2009/i6/p54
This publication is cited in the following 1 articles:
Shoukralla E.S., Kamel M., Markos M.A., “A New Computational Method For Solving Weakly Singular Fredholm Integral Hquations of the First Kind”, Proceedings of 2018 13Th International Conference on Computer Engineering and Systems (Icces), eds. Salem A., Abbas H., Elkharashi M., Eldin A., Taher M., Zaki A., IEEE, 2018, 202–207
Citation in format AMSBIB
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