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A spline-projection method for ill-posed integrodifferential equations

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Abstract

In this paper we consider the general linear boundary value problem for ill-posed integrodifferential equations of an arbitrarily fixed finite order. We theoretically substantiate one version of the general spline-projection method. In particular, the obtained general results allow us to deduce the convergence of the spline methods of collocation and subdomains.

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Authors and Affiliations

  1. Kazan State University, ul. Kremlyovskaya 18, Kazan, 420008, Russia

    Yu. R. Agachev

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  1. Yu. R. Agachev
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Correspondence to Yu. R. Agachev.

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Original Russian Text © Yu.R. Agachev, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 9, pp. 3–10.

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Agachev, Y.R. A spline-projection method for ill-posed integrodifferential equations. Russ Math. 52, 1–8 (2008). https://doi.org/10.3103/S1066369X08090016

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  • DOI: https://doi.org/10.3103/S1066369X08090016

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