Numerical modelling of qualitative behaviour of solutions to convolution integral equations
Affiliation
Instituto Superior Técnico ; University of Chester ; University of Chester ; Instituto Superior TécnicoPublication Date
2006
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We 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.Citation
Chester : University of Chester, 2006Publisher
University of ChesterAdditional Links
http://www.chester.ac.ukType
ReportLanguage
enSeries/Report no.
Applied Mathematics Group Research Report2006 : 6
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