Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations
In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2015-07-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2015-0002 |
| _version_ | 1819131711285362688 |
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| author | Akdad Abdelkarim-Nidal Ezzinbi Khalil Souden Lotti |
| author_facet | Akdad Abdelkarim-Nidal Ezzinbi Khalil Souden Lotti |
| author_sort | Akdad Abdelkarim-Nidal |
| collection | DOAJ |
| description | In this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic
functions which is more generale than the classical one, and we obtain a new existence result of
μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution
equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results. |
| first_indexed | 2024-12-22T09:19:51Z |
| format | Article |
| id | doaj.art-a2bf1f8e48244660b798806755bbeb6b |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-12-22T09:19:51Z |
| publishDate | 2015-07-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-a2bf1f8e48244660b798806755bbeb6b2022-12-21T18:31:13ZengDe GruyterNonautonomous Dynamical Systems2353-06262015-07-012110.1515/msds-2015-0002msds-2015-0002Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equationsAkdad Abdelkarim-Nidal0Ezzinbi Khalil1Souden Lotti2Département de Mathématiques, Université Cadi Ayyad, Faculté des Sciences B.P. 2390 Marrakech, MoroccoDépartement de Mathématiques, Université Cadi Ayyad, Faculté des Sciences B.P. 2390 Marrakech, MoroccoDépartement de Mathématiques, Faculté Des Sciences De Gafsa, Cité Zarroug 2121, Gafsa, TunisieIn this work, we present a new concept of Stepanov weighted pseudo almost periodic and automorphic functions which is more generale than the classical one, and we obtain a new existence result of μ-pseudo almost periodic and μ-pseudo almost automorphic mild solutions for some nonautonomous evolution equations with Stepanov μ-pseudo almost periodic terms. An example is shown to illustrate our results.https://doi.org/10.1515/msds-2015-0002neutral equation semigroup mild solutionmeasure theoryergodicityμ-pseudo almost periodic functions μ-pseudo almost automorphic functions sp − μ-pseudo almost periodic functions sp − μ-pseudo almost automorphic functions banach fixed point theorem |
| spellingShingle | Akdad Abdelkarim-Nidal Ezzinbi Khalil Souden Lotti Pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations Nonautonomous Dynamical Systems neutral equation semigroup mild solution measure theory ergodicity μ-pseudo almost periodic functions μ-pseudo almost automorphic functions sp − μ-pseudo almost periodic functions sp − μ-pseudo almost automorphic functions banach fixed point theorem |
| title | Pseudo almost periodic and automorphic mild
solutions to nonautonomous neutral partial
evolution equations |
| title_full | Pseudo almost periodic and automorphic mild
solutions to nonautonomous neutral partial
evolution equations |
| title_fullStr | Pseudo almost periodic and automorphic mild
solutions to nonautonomous neutral partial
evolution equations |
| title_full_unstemmed | Pseudo almost periodic and automorphic mild
solutions to nonautonomous neutral partial
evolution equations |
| title_short | Pseudo almost periodic and automorphic mild
solutions to nonautonomous neutral partial
evolution equations |
| title_sort | pseudo almost periodic and automorphic mild solutions to nonautonomous neutral partial evolution equations |
| topic | neutral equation semigroup mild solution measure theory ergodicity μ-pseudo almost periodic functions μ-pseudo almost automorphic functions sp − μ-pseudo almost periodic functions sp − μ-pseudo almost automorphic functions banach fixed point theorem |
| url | https://doi.org/10.1515/msds-2015-0002 |
| work_keys_str_mv | AT akdadabdelkarimnidal pseudoalmostperiodicandautomorphicmildsolutionstononautonomousneutralpartialevolutionequations AT ezzinbikhalil pseudoalmostperiodicandautomorphicmildsolutionstononautonomousneutralpartialevolutionequations AT soudenlotti pseudoalmostperiodicandautomorphicmildsolutionstononautonomousneutralpartialevolutionequations |