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Solutions of general linear difference equations, nested sums and applications
Citation
Abderraman Marrero, Jesús Carmelo and Tomeo Perucha, Venancio (2015). Solutions of general linear difference equations, nested sums and applications. In: "15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015)", 06/07/2015 - 10/07/2015, Costa Ballena, Rota, Cádiz (Spain). ISBN 978-84-617-2230-3. pp. 1-4.
Description
| Title: | Solutions of general linear difference equations, nested sums and applications |
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| Author/s: |
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| Item Type: | Presentation at Congress or Conference (Article) |
| Event Title: | 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015) |
| Event Dates: | 06/07/2015 - 10/07/2015 |
| Event Location: | Costa Ballena, Rota, Cádiz (Spain) |
| Title of Book: | Proceedings of the 15th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2015) |
| Date: | 2015 |
| ISBN: | 978-84-617-2230-3 |
| Subjects: | |
| Freetext Keywords: | Hessenbergian, linear difference equation, nested sum |
| Faculty: | E.T.S.I. Telecomunicación (UPM) |
| Department: | Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
The equivalence between the celebrated combinatorial and determinantal representations for the solutions of linear difference equations with variable coefficients, of both n-th and unbounded order, is considered. A more explicit representation is proposed using determined nested sums of their variable coefficients, which enables us to manage adequately all the sum of products involved in the previous representations. Some particular applications are also outlined.
More information
| Item ID: | 45036 |
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| DC Identifier: | https://oa.upm.es/45036/ |
| OAI Identifier: | oai:oa.upm.es:45036 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 07 Mar 2017 17:30 |
| Last Modified: | 07 Mar 2017 17:30 |
