ABSTRACT
In this chapter we present methods for solving Volterra integral equations of the second kind, which have the form
y(x) – ∫ x a
K(x, t)y(t) dt = f (x), (1)
where y(x) is the unknown function (a ≤ x ≤ b), K(x, t) is the kernel of the integral equation, and f (x) is the right-hand side of the integral equation. The function classes to which y(x), f (x), and K(x, t) can belong are defined in Subsection 10.1-1. In these function classes, there exists a unique solution of the Volterra integral equation of the second kind.
