ABSTRACT

In this section we collect some basic facts about the (unique) solvability of linear equations involving partial integral operators (of both Fredholm and Volterra type). Such equations occur rather often in applications (as we shall see in Chapter IV), but have not been studied systematically yet in book form. The main results of Subsections 15.1, 15.2 and 15.4 have been obtained in KALITVIN-ZABR.EJKO [1991].