Numerical modelling of qualitative behaviour of solutions to convolution integral equations

Hdl Handle:
http://hdl.handle.net/10034/346600
Title:
Numerical modelling of qualitative behaviour of solutions to convolution integral equations
Authors:
Diogo, Teresa; Ford, Judith M.; Ford, Neville J.; Lima, Pedro M.
Abstract:
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.
Affiliation:
Instituto Superior Técnico ; University of Chester ; University of Chester ; Instituto Superior Técnico
Citation:
Chester : University of Chester, 2006
Publisher:
University of Chester
Publication Date:
2006
URI:
http://hdl.handle.net/10034/346600
Additional Links:
http://www.chester.ac.uk
Type:
Technical Report
Language:
en
Series/Report no.:
Applied Mathematics Group Research Report; 2006 : 6
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorDiogo, Teresaen
dc.contributor.authorFord, Judith M.en
dc.contributor.authorFord, Neville J.en
dc.contributor.authorLima, Pedro M.en
dc.date.accessioned2015-03-13T13:15:23Zen
dc.date.available2015-03-13T13:15:23Zen
dc.date.issued2006en
dc.identifier.citationChester : University of Chester, 2006en
dc.identifier.urihttp://hdl.handle.net/10034/346600en
dc.description.abstractWe 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.en
dc.language.isoenen
dc.publisherUniversity of Chesteren
dc.relation.ispartofseriesApplied Mathematics Group Research Reporten
dc.relation.ispartofseries2006 : 6en
dc.relation.urlhttp://www.chester.ac.uken
dc.subjectintegral equationsen
dc.subjectqualitative behaviouren
dc.subjectresolvent kernelsen
dc.subjectnumerical methodsen
dc.titleNumerical modelling of qualitative behaviour of solutions to convolution integral equationsen
dc.typeTechnical Reporten
dc.contributor.departmentInstituto Superior Técnico ; University of Chester ; University of Chester ; Instituto Superior Técnicoen
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