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A certain approach to the problem of regularization on the basis of the perturbation of linear operators

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Abstract

We consider a method for constructing the solutions of a linear Fredholm operator equation that is regularized by means of a special perturbation of the equation by a linear operator.

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Translated from Matematicheskii Zametki, Vol. 20, No. 5, pp. 747–752, November, 1976.

The author is grateful to M. A. Krasnosel'skill for discussing the results of this article.

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Sidorov, N.A., Trenogin, V.A. A certain approach to the problem of regularization on the basis of the perturbation of linear operators. Mathematical Notes of the Academy of Sciences of the USSR 20, 976–979 (1976). https://doi.org/10.1007/BF01146923

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  • DOI: https://doi.org/10.1007/BF01146923

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