| Abstract | 第1-4页 |
| 摘要 | 第4-5页 |
| 1 Introduction | 第5-13页 |
| ·Background | 第5-7页 |
| ·Review on Integro-Differentia Equations | 第7-10页 |
| ·Main Work | 第10-11页 |
| ·Organization of the Thesis | 第11-13页 |
| 2 Mathematical Preliminaries | 第13-23页 |
| ·Basic Theory of C_0—Semigroup | 第13-15页 |
| ·Parabolic Evolution Operator | 第15-17页 |
| ·Evolution Equations | 第17-20页 |
| ·Partial Differential Equations | 第20-22页 |
| ·Some Important Theorems | 第22-23页 |
| 3 Nonlinear Impulsive Integral Differential Equations with Time Varying Generating Operators and Optimal Control | 第23-44页 |
| ·Preliminaries | 第23-28页 |
| ·The Existence of Mild Solutions of Integro-Differential Equations | 第28-31页 |
| ·Existence of Optimal Controls | 第31-36页 |
| ·Necessary Conditions of Optimality | 第36-42页 |
| ·Example | 第42-44页 |
| 4 Nonlinear Impulsive Integral Differential Equations of Mixed Type and Optimal Control | 第44-60页 |
| ·Preliminaries | 第45-51页 |
| ·Existence of the Solution of Integra-Differential Equations of Mixed Type | 第51-56页 |
| ·Existence of Optimal Controls | 第56-60页 |
| 5 Nonlinear Impulsive Time-Varying Integro-Differential Equations of Mixed Type and Optimal Control | 第60-72页 |
| ·Preliminaries | 第61-65页 |
| ·Existence of the Solutions of Integro-Differential Equations of Mixed Type | 第65-69页 |
| ·Existence of Optimal Controls | 第69-72页 |
| 6 Conclusions and Further Work | 第72-75页 |
| Acknowledgements | 第75-76页 |
| Bibliography | 第76-81页 |
| Publications | 第81-82页 |
