Weyl double-measure pseudo almost automorphic functions and Weyl double-measure pseudo almost automorphic solutions to a semilinear abstract differential equations
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912541170466816 |
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| author | Li, Yongkun |
| author_facet | Li, Yongkun |
| contents | This paper first propose a concept of Weyl double-measure pseudo-almost automorphic functions and examines their fundamental characteristics. Subsequently, employing fixed point theorems, we systematically investigate the existence and uniqueness of both Weyl almost automorphic solutions and Weyl double-measure pseudo-almost automorphic solutions for a class of semilinear abstract differential equations. Finally, through the application of inequality-based analytical methods, we establish the global exponential stability of these solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_12452 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weyl double-measure pseudo almost automorphic functions and Weyl double-measure pseudo almost automorphic solutions to a semilinear abstract differential equations Li, Yongkun Classical Analysis and ODEs 34C27, 35B15 This paper first propose a concept of Weyl double-measure pseudo-almost automorphic functions and examines their fundamental characteristics. Subsequently, employing fixed point theorems, we systematically investigate the existence and uniqueness of both Weyl almost automorphic solutions and Weyl double-measure pseudo-almost automorphic solutions for a class of semilinear abstract differential equations. Finally, through the application of inequality-based analytical methods, we establish the global exponential stability of these solutions. |
| title | Weyl double-measure pseudo almost automorphic functions and Weyl double-measure pseudo almost automorphic solutions to a semilinear abstract differential equations |
| topic | Classical Analysis and ODEs 34C27, 35B15 |
| url | https://arxiv.org/abs/2508.12452 |