ABSTRACT

Integral equations containing both the Volterra kernels (see Subsection 10.1-1) and the Fredholm kernels (see Subsections 12.1-1 and 12.1-2) are called mixed integral equations. Such integral equations arise in applications and are a fairly new object of mathematical studies. So far, no definite classification of such equations has been given, and such a classification is likely to be vast and ramified. Here, we consider some integral equations and related problems that have been studied in more detail.