Admissibility for discrete Volterra equations |
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| Authors: | Yihong Song Christopher T H Baker |
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| Institution: | 1. Suzhou University, Department of Mathematics , Suzhou, Jiangsu, 215006, P.R. China yihongsong@hotmail.com;3. School of Mathematics, University of Manchester , Manchester, M13 9PL, UK |
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| Abstract: | In this paper we develop the theory of admissibility for linear discrete Volterra operators and obtain several necessary and sufficient conditions for admissibility in various sequence spaces. Using the results obtained, we study the existence of solutions (such as bounded, exponential or convergent solutions), of linear or nonlinear discrete Volterra summation equations. |
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| Keywords: | Discrete Volterra operator Admissibility Discrete Volterra summation equations Convergent solutions |
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