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This article is cited in 2 scientific papers (total in 2 papers)
A method for constructing a canonical matrix of solutions of a Hilbert problem arising in the solution of convolution equations on a finite interval
B. V. Pal'tsev
Abstract:
The Hilbert boundary value problem corresponding to a convolution equation on a finite interval, with kernel belonging to a class singled out earlier by the author, is reduced to a system of integral equations. The solvability of this system in appropriate weighted spaces is studied and an algorithm for constructing a canonical matrix of solutions of the Hilbert problem from certain solutions of the system. Estimates of partial indices are given.
Bibliography: 15 titles.
Received: 29.05.1981
Citation:
B. V. Pal'tsev, “A method for constructing a canonical matrix of solutions of a Hilbert problem arising in the solution of convolution equations on a finite interval”, Math. USSR-Izv., 19:3 (1982), 559–610
Linking options:
https://www.mathnet.ru/eng/im1716https://doi.org/10.1070/IM1982v019n03ABEH001428 https://www.mathnet.ru/eng/im/v45/i6/p1332
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Abstract page: | 526 | Russian version PDF: | 137 | English version PDF: | 32 | References: | 72 | First page: | 1 |
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