Lavrentiev regularization of integral equations of the first kind in the space of continuous functions

zbMath1348.45001MaRDI QIDQ326281

Denis Nikolaevich Sidorov, Nikolay Aleksandrovich Sidorov, Il'dar Rinatovich Muftahov

Publication date: 12 October 2016

Published in: Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika (Search for Journal in Brave)

Full work available at URL: http://isu.ru/journal/downloadArticle?article=_22aeb8c2f61941eea4626a059c2b0b73&lang=rus

zbMATH Keywords

perturbation methodlinear integral equationquadratureBanach-Steinhaus theoremregularizing equationLavrentiev regularizationstabilizing operatorVolterra equation of the first kind

Mathematics Subject Classification ID

Volterra integral equations (45D05) Linear operators and ill-posed problems, regularization (47A52)

Related Items (4)

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Cites Work

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• Perturbation theory and the Banach-Steinhaus theorem for regularization of the linear equations of the first kind
• A certain approach to the problem of regularization on the basis of the perturbation of linear operators
• Solvability of systems of Volterra integral equations of the first kind with piecewise continuous kernels
• The approximate solution of a volterra equation of the first kind
• Numerical Solution of Volterra Integral Equations of the First Kind with Piecewise Continuous Kernel

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