Abstract
In this article we allow for nonrandom errors in variational methods that construct the pseudosolution of a linear integral equation of the second kind and the regularized pseudosolution and quasisolution of the linear integral equation of the first kind. We consider both passive errors (i.e., errors during observation) in the right-hand side and passive or active errors (i.e., errors during specification) in the core.
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Mechenov, A.S. Variational Problems for the Construction of Pseudosolutions of Linear Integral Equations. Computational Mathematics and Modeling 12, 279–292 (2001). https://doi.org/10.1023/A:1012553725033
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DOI: https://doi.org/10.1023/A:1012553725033