This article is cited in 1 paper

Methods for solving the generalized Volterra integral equation of the first kind

A. F. Galimyanov, D. E. Saifullina

Kazan State University

Abstract: This paper is dedicated to exact and approximate methods (first of all, direct ones) for the solution of integro-operational equations. The most attention is paid to the theoretical substantiation of the collocation method for the solution of the mentioned equation within the general theory of approximate methods developed by L. V. Kantorovich.

Keywords: integro-operational equation, space of vector-valued functions, collocation method, iterative method.

UDC: 517.648:519.642

Received: 27.10.2006

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2008, 52:9, 9–15

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