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<p>We introduce a class of Weyl double measure pseudo almost automorphic functions, which extends the previously studied Weyl pseudo almost automorphic functions and Weyl weighted pseudo almost automorphic functions. We investigate their fundamental properties. As an application, we study the existence, uniqueness, and global exponential stability of Weyl double measure pseudo almost automorphic mild solutions for a class of non-autonomous evolution equations. Finally, we provide an example to illustrate the validity of our theoretical results.</p>

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Weyl Double-Measure Pseudo Almost Automorphic Solutions to a Semilinear Abstract Differential Equation

  • 期刊论文

  • 发表日期：

    2026年4月15日

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  • Yongkun Li

摘要

We introduce a class of Weyl double measure pseudo almost automorphic functions, which extends the previously studied Weyl pseudo almost automorphic functions and Weyl weighted pseudo almost automorphic functions. We investigate their fundamental properties. As an application, we study the existence, uniqueness, and global exponential stability of Weyl double measure pseudo almost automorphic mild solutions for a class of non-autonomous evolution equations. Finally, we provide an example to illustrate the validity of our theoretical results.