M. V. Bulatov, Do Tien Thanh, “A class of singular integro-differential equations”, Bulletin of Irkutsk State University. Series Mathematics, 2013, Volume 6, Issue 1,Pages <nobr>14

A class of singular integro-differential equations

M. V. Bulatov^a, Do Tien Thanh^b

^a ISDCT SB RAS Irkutsk, Lermontov st. 134
^b National Research Irkutsk State Texnical University, Lermontov st. 83

Abstract: 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.

UDC: 518.517