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arXiv · 2508.12452

Weyl double-measure pseudo almost automorphic functions and Weyl double-measure pseudo almost automorphic solutions to a semilinear abstract differential equations

Yongkun Li
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Abstract

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.

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Yongkun Li. 2025-08-17. Weyl double-measure pseudo almost automorphic functions and Weyl double-measure pseudo almost automorphic solutions to a semilinear abstract differential equations. https://arxiv.org/abs/2508.12452

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