A comparison technique for integral equations

Abstract

Using the results obtained for (1:1) in Se tion 2, a omparison te hnique is presented in Se tion 3 whi h rstly guarantees that the solution y 2 C[0; T ) of (1:1) (with T = 1), is su h that lim t!1 y(t) exists, and se ondly, allows us to read o what this limit is. The te hnique is illustrated with some examples. A result of Miller [9℄, whi h pertains to a spe ial ase of (1:1) is in luded and dis ussed for ompleteness.