Fixed point theroms and their application - discrete Volterra applications

Hdl Handle:
http://hdl.handle.net/10034/346641
Title:
Fixed point theroms and their application - discrete Volterra applications
Authors:
Baker, Christopher T. H.; Song, Yihong
Abstract:
The existence of solutions of nonlinear discrete Volterra equations is established. We define discrete Volterra operators on normed spaces of infinite sequences of finite-dimensional vectors, and present some of their basic properties (continuity, boundedness, and representation). The treatment relies upon the use of coordinate functions, and the existence results are obtained using fixed point theorems for discrete Volterra operators on infinite-dimensional spaces based on fixed point theorems of Schauder, Rothe, and Altman, and Banach’s contraction mapping theorem, for finite-dimensional spaces.
Affiliation:
University of Chester
Citation:
Chester: University of Chester, 2006
Publisher:
University of Chester
Publication Date:
2006
URI:
http://hdl.handle.net/10034/346641
Additional Links:
http://www.chester.ac.uk
Type:
Technical Report
Language:
en
Series/Report no.:
Applied Mathematics Group Research Report; 2006 : 1
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorBaker, Christopher T. H.en
dc.contributor.authorSong, Yihongen
dc.date.accessioned2015-03-13T13:11:25Zen
dc.date.available2015-03-13T13:11:25Zen
dc.date.issued2006en
dc.identifier.citationChester: University of Chester, 2006en
dc.identifier.urihttp://hdl.handle.net/10034/346641en
dc.description.abstractThe existence of solutions of nonlinear discrete Volterra equations is established. We define discrete Volterra operators on normed spaces of infinite sequences of finite-dimensional vectors, and present some of their basic properties (continuity, boundedness, and representation). The treatment relies upon the use of coordinate functions, and the existence results are obtained using fixed point theorems for discrete Volterra operators on infinite-dimensional spaces based on fixed point theorems of Schauder, Rothe, and Altman, and Banach’s contraction mapping theorem, for finite-dimensional spaces.en
dc.language.isoenen
dc.publisherUniversity of Chesteren
dc.relation.ispartofseriesApplied Mathematics Group Research Reporten
dc.relation.ispartofseries2006 : 1en
dc.relation.urlhttp://www.chester.ac.uken
dc.subjectVolterra operatorsen
dc.titleFixed point theroms and their application - discrete Volterra applicationsen
dc.typeTechnical Reporten
dc.contributor.departmentUniversity of Chesteren
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