Methods for Solving Linear Equations of the Form a K(x, t)y(t) dt = f (x)

The kernel K(x, t) of an integral equation is said to be degenerate if it can be represented in the form K(x, t) = g1(x)h1(t) + · · · + gn(x)hn(t).

The kernel K(x, t) of an integral equation is called a difference kernel if it depends only on the difference of the arguments: K(x, t) = K(x – t).