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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, Number 9, Pages 11–18
(Mi ivm1707)
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This article is cited in 1 scientific paper (total 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.
Received: 27.10.2006
Citation:
A. F. Galimyanov, D. E. Saifullina, “Methods for solving the generalized Volterra integral equation of the first kind”, Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 9, 11–18; Russian Math. (Iz. VUZ), 52:9 (2008), 9–15
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https://www.mathnet.ru/eng/ivm1707 https://www.mathnet.ru/eng/ivm/y2008/i9/p11
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Abstract page: | 352 | Full-text PDF : | 104 | References: | 49 | First page: | 2 |
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