Geodesic
A class of singular integro-differential equations
The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 1, pp. 14-19

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In this paper the systems of integro-differential equations of Volterra type with identical singular matrix at the derivative are considered. For these systems, with the given initial conditions, conditions of existence of a unique continuously differentiable solution are given.
Keywords: integro-differential equations; matrix polynomials. 
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M. V. Bulatov; Do Tien Thanh. A class of singular integro-differential equations. The Bulletin of Irkutsk State University. Series Mathematics, Tome 6 (2013) no. 1, pp. 14-19. http://geodesic.mathdoc.fr/item/IIGUM_2013_6_1_a1/