声明
Acknowledgements
Abstract
摘要
Table of Contents
Chapter 1 Tntroduction and Overview
1．1 Topologies on Banach Spaces
1．2 The Lp Spaces
1．3 Compactness Theorems
1．3．1 Generalities
1．3．2 Topological Fixed-Point Theorems
1．3．3 Compactness in Function Spaces
1．4 Multifunctions
1．4．1 Generalities
1．4．2 Continuity Properties
1．4．3 Fixed-Point Theorems for Multifunctions
1．5 C0-Semigroups
1．5．1 Generalities
1．5．2 Generation Theorems
1．6 Mild Solutions
1．6．1 Types of Solutions
1．6．2 Compactness of the Solution Operator
1．7 Evolutions Governed by m-Dissipative Operators
1．7．1 Semi-inner Products
1．7．2 Dissipative Operators and Evolution Equations
1．7．3 Compactness of the Solution Operator
1．8 Almost Periodic Functions
1．8．1 Definitions and Properties
1．9 Pseudo-Almost Periodic Functions
1．9．1 Definitions and Properties
1．9．2 Composition Theorems
Chapter 2 Existence Result s for Reaction-Diffusion System with Nonlocal Retarded Initial Conditions
2．1 Introduction
2．2 Statement of the Problem
2．3 Main Results
2．4 Preliminary Lemmas
2．5 Proof of Theorem 2．3．1
2．6 Application
Chapter 3 Existence and Uniqueness Results for Nonlinear Reaction-Diffusion System with Nonlocal Retarded Initial Conditions
3．1 Introduction
3．2 Statement of the Problem
3．3 Existence and Uniqueness Results
3．4 Outline of the Proof
3．5 Auxiliary Results
3．6 Proof of Theorem 3．3．1
3．7 Application
Chapter 4 Existence and Uniqueness Pseudo-Almost Periodic C0 Solutions to the Evolutions Equations with Nonlocal Initial Condition
4．1 Introduction
4．2 Statement of the Problem
4．3 Main Results
4．3．1 Existence and Uniqueness of Pseudo Almost Periodic C0 Solutions
4．4 Preliminary Results
4．5 Proof of Theorem 4．3．2
4．6 Application
References
List of Publications
