Addendum to Hattendorff's Theorem and Thiele's Differential Equation Generalized, SAJ 1992, 2–14

A. Purpose of this note Any specific application of the theory in Section 3 of the paper would demand that the statewise reserves Vj be precisely defined. There is some latitude at this point, however, and it turns out that Theorem 3 as stated may require that an appropriate definition be used. Paragraph B of the present note adds rigour on the issue. Paragraph C offers some guidance as to how to construct and compute the reserves in nontrivial cases. Some technical lemmas are placed in the final Paragraph D.