The Existence and Uniqueness of Pseudo-Almost Periodic Solutions of Semilinear Cauchy Inclusions of First Order

Abstract

The main aim of this paper is to investigate pseudo-almost periodic solutions

of abstract semilinear Cauchy inclusions of first order with multivalued linear operators generating infinitely differentiable degenerate semigroups with removable singularites at zero. Our results seem to be new even for a class of almost sectorial single-valued linear operators.