Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations
We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences. The results are then used to analyse the numerical stability of some classes of Volterr...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2018/6935069 |
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| _version_ | 1850179457414856704 |
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| author | E. Messina A. Vecchio |
| author_facet | E. Messina A. Vecchio |
| author_sort | E. Messina |
| collection | DOAJ |
| description | We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences. The results are then used to analyse the numerical stability of some classes of Volterra integrodifferential equations. |
| format | Article |
| id | doaj-art-9c84b7f027f5438caad4df7fabc5f70f |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-9c84b7f027f5438caad4df7fabc5f70f2025-08-20T02:18:28ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/69350696935069Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete EquationsE. Messina0A. Vecchio1Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Via Cintia, 80126 Napoli, ItalyC.N.R. National Research Council of Italy, Institute for Computational Application “Mauro Picone”, Via P. Castellino 111, 80131 Napoli, ItalyWe consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences. The results are then used to analyse the numerical stability of some classes of Volterra integrodifferential equations.http://dx.doi.org/10.1155/2018/6935069 |
| spellingShingle | E. Messina A. Vecchio Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations Discrete Dynamics in Nature and Society |
| title | Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations |
| title_full | Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations |
| title_fullStr | Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations |
| title_full_unstemmed | Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations |
| title_short | Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations |
| title_sort | boundedness and asymptotic stability for the solution of homogeneous volterra discrete equations |
| url | http://dx.doi.org/10.1155/2018/6935069 |
| work_keys_str_mv | AT emessina boundednessandasymptoticstabilityforthesolutionofhomogeneousvolterradiscreteequations AT avecchio boundednessandasymptoticstabilityforthesolutionofhomogeneousvolterradiscreteequations |