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On One Fredholm Integral Equation of Third Kind |
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| Authors: | Shulaia D. |
| Affiliation: | (1) Vekua Institute of Applied Mathematics, Tbilisi State University, 2, University St., Tbilisi, 380043, Georgia |
| Abstract: | In the class of Hölder functions we give the necessary and sufficient condition for solvability of a Fredholm integral equation whose kernel has fixed singularity in the segment of variation of an independent variable. Finding a solution is reduced to solving a regular integral equation of second kind. |
| Keywords: | Integral equation of the third kind characteristic numbers fundamental functions singular operator |
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