Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time Scales
We revisit the notion on almost automorphic functions on time scales given by Lizama and Mesquita (2013). Then we present the notion of almost automorphic functions of order n. Finally, we apply this notion to study the existence and uniqueness and the global stability of almost automorphic solution...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/410210 |
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| _version_ | 1832564626969067520 |
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| author | Gisèle Mophou Gaston Mandata N’Guérékata Aril Milce |
| author_facet | Gisèle Mophou Gaston Mandata N’Guérékata Aril Milce |
| author_sort | Gisèle Mophou |
| collection | DOAJ |
| description | We revisit the notion on almost automorphic functions on time scales given by Lizama and Mesquita (2013). Then we present the notion of almost automorphic functions of order n. Finally, we apply this notion to study the existence and uniqueness and the global stability of almost automorphic solution of first order to a dynamical equation with finite time varying delay. |
| format | Article |
| id | doaj-art-abb2b23d4e9c425b8dd9960e151d8d0e |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-abb2b23d4e9c425b8dd9960e151d8d0e2025-02-03T01:10:39ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/410210410210Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time ScalesGisèle Mophou0Gaston Mandata N’Guérékata1Aril Milce2Laboratoire CEREGMIA, Université des Antilles et de la Guyane, Campus Fouillole, 97159 Pointe-à-Pitre, GuadeloupeDepartment of Mathematics, Morgan State University, Baltimore, MD 21251, USALaboratoire CEREGMIA, Université des Antilles et de la Guyane, Campus Fouillole, 97159 Pointe-à-Pitre, GuadeloupeWe revisit the notion on almost automorphic functions on time scales given by Lizama and Mesquita (2013). Then we present the notion of almost automorphic functions of order n. Finally, we apply this notion to study the existence and uniqueness and the global stability of almost automorphic solution of first order to a dynamical equation with finite time varying delay.http://dx.doi.org/10.1155/2014/410210 |
| spellingShingle | Gisèle Mophou Gaston Mandata N’Guérékata Aril Milce Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time Scales Discrete Dynamics in Nature and Society |
| title | Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time Scales |
| title_full | Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time Scales |
| title_fullStr | Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time Scales |
| title_full_unstemmed | Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time Scales |
| title_short | Almost Automorphic Functions of Order n and Applications to Dynamic Equations on Time Scales |
| title_sort | almost automorphic functions of order n and applications to dynamic equations on time scales |
| url | http://dx.doi.org/10.1155/2014/410210 |
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