Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces
We are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of resolvent operators, and the fixed point theory fo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2023-11-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2023-0102 |
| _version_ | 1797635944378007552 |
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| author | El Matloub Jaouad Ezzinbi Khalil |
| author_facet | El Matloub Jaouad Ezzinbi Khalil |
| author_sort | El Matloub Jaouad |
| collection | DOAJ |
| description | We are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of resolvent operators, and the fixed point theory for the measure of non-compactness. Moreover, we examine the existence of asymptotically almost periodic solutions for our problem. Finally, an example of the abstract results is provided. |
| first_indexed | 2024-03-11T12:27:16Z |
| format | Article |
| id | doaj.art-010579fef0a548a9888945a8aca14abb |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-03-11T12:27:16Z |
| publishDate | 2023-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-010579fef0a548a9888945a8aca14abb2023-11-06T07:13:18ZengDe GruyterNonautonomous Dynamical Systems2353-06262023-11-011019111210.1515/msds-2023-0102Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spacesEl Matloub Jaouad0Ezzinbi Khalil1Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P: 2390, Marrakech40000, MoroccoDepartment of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P: 2390, Marrakech40000, MoroccoWe are interested in the existence of mild solutions for a class of partial integrodifferential inclusions in infinite dimensional Banach spaces. First, we show the existence of mild solutions with the help of a scale of Banach spaces, the theory of resolvent operators, and the fixed point theory for the measure of non-compactness. Moreover, we examine the existence of asymptotically almost periodic solutions for our problem. Finally, an example of the abstract results is provided.https://doi.org/10.1515/msds-2023-0102resolvent operatormeasures of noncompactness and condensing mappingsintegrodifferential inclusionsmild solutionasymptotically almost periodic solution45k0547h1047d06 |
| spellingShingle | El Matloub Jaouad Ezzinbi Khalil Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces Nonautonomous Dynamical Systems resolvent operator measures of noncompactness and condensing mappings integrodifferential inclusions mild solution asymptotically almost periodic solution 45k05 47h10 47d06 |
| title | Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces |
| title_full | Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces |
| title_fullStr | Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces |
| title_full_unstemmed | Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces |
| title_short | Asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of Banach spaces |
| title_sort | asymptotically almost periodic mild solutions for some partial integrodifferential inclusions using scale of banach spaces |
| topic | resolvent operator measures of noncompactness and condensing mappings integrodifferential inclusions mild solution asymptotically almost periodic solution 45k05 47h10 47d06 |
| url | https://doi.org/10.1515/msds-2023-0102 |
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