Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations
We provide new variational settings to study the a.p. (almost periodic) solutions of a class of nonlinear neutral delay equations. We extend Shu and Xu (2006) variational setting for periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain results on the...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2008/153285 |
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| _version_ | 1850219360748044288 |
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| author | M. Ayachi J. Blot |
| author_facet | M. Ayachi J. Blot |
| author_sort | M. Ayachi |
| collection | DOAJ |
| description | We provide new variational settings to study the a.p. (almost periodic)
solutions of a class of nonlinear neutral delay equations. We extend
Shu and Xu (2006) variational setting for
periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain
results on the structure of the set of the a.p. solutions, results of existence of a.p. solutions,
results of existence of a.p. solutions, and also a density result for the forced
equations. |
| format | Article |
| id | doaj-art-7c85f42880b64caaa8dc5dbb7738d4af |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-7c85f42880b64caaa8dc5dbb7738d4af2025-08-20T02:07:24ZengWileyAbstract and Applied Analysis1085-33751687-04092008-01-01200810.1155/2008/153285153285Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay EquationsM. Ayachi0J. Blot1Laboratoire Marin Mersenne, Université Paris 1 Panthéon-Sorbonne, Centre P.M.F., 90 rue de Tolbiac, Paris Cedex 13 75634, FranceLaboratoire Marin Mersenne, Université Paris 1 Panthéon-Sorbonne, Centre P.M.F., 90 rue de Tolbiac, Paris Cedex 13 75634, FranceWe provide new variational settings to study the a.p. (almost periodic) solutions of a class of nonlinear neutral delay equations. We extend Shu and Xu (2006) variational setting for periodic solutions of nonlinear neutral delay equation to the almost periodic settings. We obtain results on the structure of the set of the a.p. solutions, results of existence of a.p. solutions, results of existence of a.p. solutions, and also a density result for the forced equations.http://dx.doi.org/10.1155/2008/153285 |
| spellingShingle | M. Ayachi J. Blot Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations Abstract and Applied Analysis |
| title | Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations |
| title_full | Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations |
| title_fullStr | Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations |
| title_full_unstemmed | Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations |
| title_short | Variational Methods for Almost Periodic Solutions of a Class of Neutral Delay Equations |
| title_sort | variational methods for almost periodic solutions of a class of neutral delay equations |
| url | http://dx.doi.org/10.1155/2008/153285 |
| work_keys_str_mv | AT mayachi variationalmethodsforalmostperiodicsolutionsofaclassofneutraldelayequations AT jblot variationalmethodsforalmostperiodicsolutionsofaclassofneutraldelayequations |