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dc.contributor.authorBaker, Christopher T. H.*
dc.contributor.authorSong, Yihong*
dc.date.accessioned2015-03-13T13:09:05Z
dc.date.available2015-03-13T13:09:05Z
dc.date.issued2007
dc.identifier.citationChester : University of Chester, 2007en
dc.identifier.urihttp://hdl.handle.net/10034/346599
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.
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.typeReporten
dc.contributor.departmentUniversity of Chesteren
html.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.


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