a Department of Mathematics and Informatics, Chiba University, 1-33 Yayoicho, Inageku, Chiba 263-8522, Japan b Department of Applied Mathematics, Okayama University of Science, 1-1 Ridaicho, Okayama 700-0005, Japan
Abstract:
For abstract linear functional differential equations with an almost automorphic forcing term, we establish a result on the existence of almost automorphic solutions, which extends the classical theorem due to Massera on the existence of periodic solutions for linear periodic ordinary differential equations.