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    Periodic solutions of discrete Volterra equations

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    Authors
    Baker, Christopher T. H.
    Song, Yihong
    Affiliation
    University College Chester ; Suzhou University
    Publication Date
    2004-02-25
    
    Metadata
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    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.
    Citation
    Mathematics and Computers in Simulation, 64(5), (2004), pp. 521-542
    Publisher
    Elsevier
    Journal
    Mathematics and Computers in Simulation
    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.
    ae974a485f413a2113503eed53cd6c53
    10.1016/j.matcom.2003.10.002
    Scopus Count
    Collections
    Mathematics

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