Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales
We consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equations vanishes at infinity.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/612156 |
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| _version_ | 1849399126285877248 |
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| author | Eleonora Messina Antonia Vecchio |
| author_facet | Eleonora Messina Antonia Vecchio |
| author_sort | Eleonora Messina |
| collection | DOAJ |
| description | We consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equations vanishes at infinity. |
| format | Article |
| id | doaj-art-a45ff280b96c4e90bc5a91fbf53c8f54 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a45ff280b96c4e90bc5a91fbf53c8f542025-08-20T03:38:24ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/612156612156Stability and Convergence of Solutions to Volterra Integral Equations on Time ScalesEleonora Messina0Antonia Vecchio1Dipartimento di Matematica e Applicazioni, Università degli Studi di Napoli “Federico II”, Via Cintia, 80126 Napoli, ItalyNational Research Council of Italy (CNR), Institute for Computational Application Mauro Picone, Via P. Castellino 111, 80131 Naples, ItalyWe consider Volterra integral equations on time scales and present our study about the long time behavior of their solutions. We provide sufficient conditions for the stability and investigate the convergence properties when the kernel of the equations vanishes at infinity.http://dx.doi.org/10.1155/2015/612156 |
| spellingShingle | Eleonora Messina Antonia Vecchio Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales Discrete Dynamics in Nature and Society |
| title | Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales |
| title_full | Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales |
| title_fullStr | Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales |
| title_full_unstemmed | Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales |
| title_short | Stability and Convergence of Solutions to Volterra Integral Equations on Time Scales |
| title_sort | stability and convergence of solutions to volterra integral equations on time scales |
| url | http://dx.doi.org/10.1155/2015/612156 |
| work_keys_str_mv | AT eleonoramessina stabilityandconvergenceofsolutionstovolterraintegralequationsontimescales AT antoniavecchio stabilityandconvergenceofsolutionstovolterraintegralequationsontimescales |