| 摘要 | 第1-6页 |
| Abstract | 第6-9页 |
| 1 Introduction | 第9-12页 |
| ·Almost periodic functions and their applications | 第9页 |
| ·Almost automorphic functions and their applications | 第9-10页 |
| ·The main purpose of this thesis | 第10-12页 |
| 2 Preliminaries | 第12-21页 |
| ·Almost periodic functions and(weighted)pseudo almost periodic functions | 第12-16页 |
| ·Almost automorphic functions and pseudo almost automorphic functions | 第16-18页 |
| ·C_0-semigroups and integral resolvent families | 第18-21页 |
| 3 Almost periodic and pseudo almost periodic mild solutions to nonlineardifferential equations | 第21-26页 |
| ·Existence of almost periodic solutions | 第21-23页 |
| ·Existence of pseudo almost periodic solutions | 第23-26页 |
| 4 Almost automorphic and pseudo almost automorphic mild solutions tononlinear differential equations in Banach spaces | 第26-34页 |
| ·Existence of almost automorphic solutions | 第26-29页 |
| ·Existence of pseudo almost automorphic solutions | 第29-32页 |
| ·A semi-linear partial differential equation with Dirichlet conditions | 第32-34页 |
| 5 Pseudo almost automorphic mild solutions to semilinear integral equa-tions in a Banach space | 第34-41页 |
| ·Main results | 第34-41页 |
| 6 A new composition theorem for S~p-weighted pseudo almost periodicfunctions and applications to semilinear differential equations | 第41-51页 |
| ·Composition of S~p-weighted pseudo almost periodic functions | 第41-45页 |
| ·Existence of weighted pseudo almost periodic solutions | 第45-51页 |
| Acknowledgements | 第51-52页 |
| Bibliography | 第52-57页 |
| List of Publications | 第57-58页 |
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