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Siberian Mathematical Journal

, Volume 56, Issue 3, pp 435–441 | Cite as

On systems of linear functional equations of the third kind in L 2

  • V. B. KorotkovEmail author
Article

Abstract

We consider the systems of linear functional equations of the third kind with measurecompact operators in L 2 and the general systems of linear integral equations of the third kind in L 2. We propose a method for reducing these systems either to equivalent integral equations of the first kind with nuclear operators or to equivalent integral equations of the second kind with quasidegenerate Carleman kernels. Various exact and approximate methods for solving the arising integral equations are applicable.

Keywords

system of linear functional equations of the third kind measure-compact operator integral operator integral equation of the first or second kind nuclear operator quasidegenerate Carleman kernel 

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Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Sobolev Institute of MathematicsNovosibirskRussia

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