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| HAL : hal-00707827, version 1 |
| DOI : 10.1080/10236198.2011.587813 |
| Fiche détaillée |  Récupérer au format |
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| Journal of Difference Equations and Applications 18, 10 (2012) 1665-1682 |
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| On Stepanov almost-periodic ocillations and their discretizations |
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| Jan AndresDenis Pennequin 1 |
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| (2012) |
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| The relationship between Carathéodory almost-periodic (a.p.) solutions and their discretizations is clarified for differential equations and inclusions in Banach spaces. Our investigation was stimulated by an old result of Meisters [Proc. Am. Math. Soc. 10 (1959), pp. 113-119] about Bohr a.p. solutions which we generalize in several directions. Unlike for functions, Stepanov and Bohr a.p. sequences are shown to coincide. A particular attention is paid to purely (i.e. non-uniformly continuous) Stepanov a.p. solutions. Many ideas are explained in detail by means of examples illustrated. |
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| 1 : | Statistique, Analyse et Modélisation Multidisciplinaire (SAmos-Marin Mersenne) (SAMM) |
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Université Paris I - Panthéon-Sorbonne |
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| Domaine | : | Mathématiques/Analyse classique Mathématiques/Systèmes dynamiques |
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| Stepanov almost-periodic oscillations – almost-periodic sequences – non-uniformly continuous solutions – differential equations and inclusions in Banach spaces |
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| hal-00707827, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00707827 | |
| oai:hal.archives-ouvertes.fr:hal-00707827 | |
| Contributeur : Denis Pennequin | |
| Soumis le : Mercredi 13 Juin 2012, 15:36:34 | |
| Dernière modification le : Mardi 26 Février 2013, 22:05:13 | |
