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Fixed point theroms and their application - discrete Volterra applications

Baker, Christopher T. H.
; 
Song, Yihong
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University of Chester
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2006
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Mathematics
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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.
Citation
Chester: University of Chester, 2006
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University of Chester
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http://hdl.handle.net/10034/346641
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Report
Language
en
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Applied Mathematics Group Research Report
2006 : 1
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http://www.chester.ac.uk