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Affiliation
University College Chester ; Suzhou UniversityPublication Date
2004-02-25
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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. 521-542Publisher
ElsevierAdditional Links
http://www.elsevier.com/wps/find/journaldescription.cws_home/505615/description#descriptionType
ArticleLanguage
enDescription
This article is not available through ChesterRep.ISSN
0378-4754Sponsors
This article was submitted to the RAE2008 for the University of Chester - Applied Mathematics.ae974a485f413a2113503eed53cd6c53
10.1016/j.matcom.2003.10.002