ABSTRACT

Lemma 13.1. The function g(t,s,·,·) is of bounded variation for each (t, s) E DI and the function g(" " r, u) is weakly continuous for each (r,u) ED if and only if

sup {VarDg(t,s,"') : (t,s) ED} < 00 and the relations (13.11) - (13.14) hold.