标题： Weyl双测度伪几乎自伴函数和半线性抽象微分方程的Weyl双测度伪几乎自伴解 显示英文标题

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

摘要： 本文首先提出Weyl双测度伪几乎自伴函数的概念，并研究其基本特性。 随后，利用不动点定理，我们系统地研究了一类半线性抽象微分方程的Weyl几乎自伴解和Weyl双测度伪几乎自伴解的存在性和唯一性。 最后，通过不等式分析方法的应用，我们建立了这些解的全局指数稳定性。 显示英文摘要

摘要： 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.