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Constructing regularization methods in the spaces of differentiable functions |
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| Authors: | G V Khromova E V Shishkova |
| Institution: | (1) Saratov State University, ul. Astrakhanskaya 83, Saratov, 410026, Russia |
| Abstract: | The method of finding approximations to a solution and its derivatives is constructed for a certain class of integral Volterra equations of the first kind. Matching conditions for the regularization parameter and the error in the initial data are presented. Sharp (in terms of order) error estimates are obtained for approximate solutions on certain compact classes. |
| Keywords: | regularization methods in the spaces of differentiable functions integral Volterra equations of the first kind regularization method for the Volterra equation error estimation |
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