利用$S^p$权伪概自守函数的分解定理和性质,研究一类中立型抽象泛函微分方程的$S^p$权伪概自守温和解的存在唯一性,并在适当的假设下,得到了此解在Banach 空间中的存在性条件.

In this paper, we study the existence and uniqueness of $S^p$ weighted pseudo almost automorphic  mild solutions of neutral  functional differential equations. By utilizing a composition theorem and properties for $S^p$-weighted pseudo almost  automorphic  function, we establish the conditions for the solution's existence of the equations in Banach space.