Some properties of pseudo-almost automorphic functions and applications to abstract differential equations (Q1006711)

In this interesting paper, the authors first extend some basic properties of almost automorphic functions from another perspective. Next, they study compositions of pseudo-almost automorphic functions under conditions that are weaker than the Lipschitz condition. Finally, they establish an existence and uniqueness theorem for pseudo-almost automorphic mild solutions to semilinear differential equations in a Banach space.