Almost Automorphic and Almost Periodic Functions in Abstract Spaces Softcover reprint of the original 1st ed. 2001 edition

Marc Notes: This text introduces and develops the theory of almost automorphic vector-valued functions in Bochner's sense and the study of almost periodic functions in a locally convex space in a homogenous and unified manner. It also applies the results obtained to study almost automorphic solutions of abstract differential equations. Table of Contents: 1. Introduction and Preliminaries. 2. Almost Automorphic Functions with Values in a Banach Space. 3. Almost Periodic Functions with Values in a Linear Topological Space. 4. The Equation x'(t) = Ax(t) + f(t).5. The Equation x' = f(t, x). 6. A Case of One-to-One Correspondence between Almost Automorphic and Asymptotically Almost Automorphic Solutions. 7. Almost Periodic Solutions of the Equation x' = Ax + f in Locally Convex Spaces. 8. Almost Periodic Solutions of Differential Equations in Normed Spaces. References. Index.