Selected Topics in Almost Periodicity

Description

Covers uniformly recurrent solutions and c-almost periodic solutions of abstract Volterra integro-differential equations as well as various generalizations of almost periodic functions in Lebesgue spaces with variable coefficients. Treats multi-dimensional almost periodic type functions and their generalizations in adequate detail. Analyzes the various classes of almost periodic functions, almost automorphic functions and their applications to the (abstract) integro-differential equations a in Banach spaces. Contents Preface Notation Introduction 1 Preliminaries Part I: Almost periodic type functions and solutions to integro-differential equations Introduction 2 Almost periodic type functions 3 Generalized almost periodicity in Lebesgue spaces with variable exponents 4 (ω, c)-Almost periodic type functions, c-almost periodic type functions and applications 5 Notes and appendices to Part I Part II: Multi-dimensional almost periodic type functions and applications Introduction 6 Multi-dimensional almost periodic type functions and applications 7 Multi-dimensional (ω, c)-almost periodic type functions, multi-dimensional c-almost periodic type functions and applications 8 Multi-dimensional almost automorphic type functions and applications 9 Notes and appendices to Part II Bibliography Index