Systems of convolution equations of the first and second kind on a finite interval and factorization of matrix-functions |
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Authors: | A. F. Voronin |
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Affiliation: | 1. Sobolev Institute of Mathematics, Novosibirsk, Russia
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Abstract: | Systems of n convolution equations of the first and second kind on a finite interval are reduced to a Riemann boundary value problem for a vector function of length 2n. We prove a theorem about the equivalence of the Riemann problem and the initial system. Sufficient conditions are obtained for the well-posedness of a system of the second kind. Also under study is the case of the periodic kernel of the integral operator of a system of the first and second kind. |
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