Solutions of general linear difference equations, nested sums and applications

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
Author/s:
  • Abderraman Marrero, Jesús Carmelo
  • Tomeo Perucha, Venancio
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

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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
DC Identifier: http://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
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