Sp加权伪概自守函数的复合定理及其应用
Composition theorems of ？？Sp？？ weighted pseudo almost automorphic functions and applications

本文证明了？？S？？p？Ц抛允睾？数和？？S？？p？Ъ尤ㄎ备抛允睾？数新的复合定理. 在这两个复合定理所需的Lipschitz条件中,作者采用了本性最大模范数, 使得条件弱于或不同于前人结果中相应的条件. 作为应用, 作者给出了半线性微分方程加权伪概自守mild解的存在唯一性结果.
In this paper, we establish some new composition results for ？？S？？p？？ almost automorphic functions and ？？S？？p？？ weighted pseudo almost automorphic functions, where we used a Lipschitz condition involving essential sup norm, and then the condition used here is weaker than or different from the ones used before. As an application, we present an existence and uniqueness of mild weighted pseudo almost automorphic solutions to semilinear differential equations with an ？？S？？p？？ weighted pseudo almost automorphic term