Diogo, TeresaFord, Judith M.Ford, Neville J.Lima, Pedro M.2015-03-132015-03-132006Chester : University of Chester, 2006http://hdl.handle.net/10034/346600We consider the qualitative behaviour of solutions to linear integral equations of the form where the kernel k is assumed to be either integrable or of exponential type. After a brief review of the well-known Paley-Wiener theory we give conditions that guarantee that exact and approximate solutions of (1) are of a specific exponential type. As an example, we provide an analysis of the qualitative behaviour of both exact and approximate solutions of a singular Volterra equation with infinitely many solutions. We show that the approximations of neighbouring solutions exhibit the correct qualitative behaviour.enintegral equationsqualitative behaviourresolvent kernelsnumerical methodsReport