Concerning periodic solutions to non-linear discrete Volterra equations with finite memory

Hdl Handle:
http://hdl.handle.net/10034/346599
Title:
Concerning periodic solutions to non-linear discrete Volterra equations with finite memory
Authors:
Baker, Christopher T. H.; Song, Yihong
Abstract:
In this paper we discuss the existence of periodic solutions of discrete (and discretized) non-linear Volterra equations with finite memory. The literature contains a number of results on periodic solutions of non linear Volterra integral equations with finite memory, of a type that arises in biomathematics. The “summation” equations studied here can arise as discrete models in their own right but are (as we demonstrate) of a type that arise from the discretization of such integral equations. Our main results are in two parts: (i) results for discrete equations and (ii) consequences for quadrature methods applied to integral equations. The first set of results are obtained using a variety of fixed point theorems. The second set of results address the preservation of properties of integral equations on discretizing them. An expository style is adopted and examples are given to illustrate the discussion.
Affiliation:
University of Chester
Citation:
Chester : University of Chester, 2007
Publisher:
University of Chester
Publication Date:
2007
URI:
http://hdl.handle.net/10034/346599
Additional Links:
http://www.chester.ac.uk
Type:
Technical Report
Language:
en
Series/Report no.:
Applied Mathematics Group Research Report; 2007 : 1
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorBaker, Christopher T. H.en
dc.contributor.authorSong, Yihongen
dc.date.accessioned2015-03-13T13:09:05Zen
dc.date.available2015-03-13T13:09:05Zen
dc.date.issued2007en
dc.identifier.citationChester : University of Chester, 2007en
dc.identifier.urihttp://hdl.handle.net/10034/346599en
dc.description.abstractIn this paper we discuss the existence of periodic solutions of discrete (and discretized) non-linear Volterra equations with finite memory. The literature contains a number of results on periodic solutions of non linear Volterra integral equations with finite memory, of a type that arises in biomathematics. The “summation” equations studied here can arise as discrete models in their own right but are (as we demonstrate) of a type that arise from the discretization of such integral equations. Our main results are in two parts: (i) results for discrete equations and (ii) consequences for quadrature methods applied to integral equations. The first set of results are obtained using a variety of fixed point theorems. The second set of results address the preservation of properties of integral equations on discretizing them. An expository style is adopted and examples are given to illustrate the discussion.en
dc.language.isoenen
dc.publisherUniversity of Chesteren
dc.relation.ispartofseriesApplied Mathematics Group Research Reporten
dc.relation.ispartofseries2007 : 1en
dc.relation.urlhttp://www.chester.ac.uken
dc.subjectPeriodic solutionsen
dc.subjectdiscrete equationsen
dc.subjectfinite memoryen
dc.subjectfixed point theoremsen
dc.subjectquadratureen
dc.subjectsimulationen
dc.titleConcerning periodic solutions to non-linear discrete Volterra equations with finite memoryen
dc.typeTechnical Reporten
dc.contributor.departmentUniversity of Chesteren
This item is licensed under a Creative Commons License
Creative Commons
All Items in ChesterRep are protected by copyright, with all rights reserved, unless otherwise indicated.