Periodic solutions of discrete Volterra equations

Hdl Handle:
http://hdl.handle.net/10034/68523
Title:
Periodic solutions of discrete Volterra equations
Authors:
Baker, Christopher T. H.; Song, Yihong
Abstract:
This article investigates periodic solutions of linear and nonlinear discrete Volterra equations of convolution or non-convolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholm’s alternative theorem and for equations of non-convolution type, and we prove that a unique periodic solution exists for a particular bounded initial function under appropriate conditions. Further, this unique periodic solution attracts all other solutions with bounded initial function. All solutions of linear discrete Volterra equations with bounded initial functions are asymptotically periodic under certain conditions. A condition for periodic solutions in the nonlinear case is established.
Affiliation:
University College Chester ; Suzhou University
Citation:
Mathematics and Computers in Simulation, 64(5), (2004), pp. 521-542
Publisher:
Elsevier
Journal:
Mathematics and Computers in Simulation
Publication Date:
25-Feb-2004
URI:
http://hdl.handle.net/10034/68523
DOI:
10.1016/j.matcom.2003.10.002
Additional Links:
http://www.elsevier.com/wps/find/journaldescription.cws_home/505615/description#description
Type:
Article
Language:
en
Description:
This article is not available through ChesterRep.
ISSN:
0378-4754
Sponsors:
This article was submitted to the RAE2008 for the University of Chester - Applied Mathematics.
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorBaker, Christopher T. H.en
dc.contributor.authorSong, Yihongen
dc.date.accessioned2009-05-19T09:40:05Zen
dc.date.available2009-05-19T09:40:05Zen
dc.date.issued2004-02-25en
dc.identifier.citationMathematics and Computers in Simulation, 64(5), (2004), pp. 521-542en
dc.identifier.issn0378-4754en
dc.identifier.doi10.1016/j.matcom.2003.10.002en
dc.identifier.urihttp://hdl.handle.net/10034/68523en
dc.descriptionThis article is not available through ChesterRep.en
dc.description.abstractThis article investigates periodic solutions of linear and nonlinear discrete Volterra equations of convolution or non-convolution type with unbounded memory. For linear discrete Volterra equations of convolution type, we establish Fredholm’s alternative theorem and for equations of non-convolution type, and we prove that a unique periodic solution exists for a particular bounded initial function under appropriate conditions. Further, this unique periodic solution attracts all other solutions with bounded initial function. All solutions of linear discrete Volterra equations with bounded initial functions are asymptotically periodic under certain conditions. A condition for periodic solutions in the nonlinear case is established.en
dc.description.sponsorshipThis article was submitted to the RAE2008 for the University of Chester - Applied Mathematics.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://www.elsevier.com/wps/find/journaldescription.cws_home/505615/description#descriptionen
dc.subjectperiodicen
dc.subjectasymptotically periodic solutionsen
dc.subjectdiscrete Volterra equationsen
dc.subjectresolvent matricesen
dc.subjectFredholm’s alternativeen
dc.titlePeriodic solutions of discrete Volterra equationsen
dc.typeArticleen
dc.contributor.departmentUniversity College Chester ; Suzhou Universityen
dc.identifier.journalMathematics and Computers in Simulationen
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