n this paper we investigate systems of linear integral equations in the space ${𝔾}_L^n$ of $n$-vector valued functions which are regulated on the closed interval $[0,1]$ (i.e. such that can have only discontinuities of the first kind in $[0,1]$) and left-continuous in the corresponding open interval $(0,1).$ In particular, we are interested in systems of the form x(t) - A(t)x(0) - 01B(t,s)[d x(s)] = f(t), where $f\in {𝔾}_L^n$, the columns of the $n\times n$-matrix valued function $A$ belong to ${𝔾}_L^n$, the entries of $B(t,.)$ have a bounded variation on $[0,1]$ for any...