| 摘要 | 第1-4页 |
| ABSTRACT | 第4-5页 |
| 详细摘要 | 第5-18页 |
| 1 Introduction | 第18-34页 |
| ·Parameter identification problem for a linear system through its approximate periodic solutions | 第19-24页 |
| ·Approximate periodic solutions of a non-linear parabolic System and an identification problem | 第24-28页 |
| ·Pontryagin Maximum principle | 第28-34页 |
| 2 Identification of parameters through the approximate periodic solutions of a parabolic system | 第34-58页 |
| ·The existence and uniqueness of the solution | 第34-47页 |
| ·Existence of the solution to Problem (P) | 第47-58页 |
| 3 Approximate periodic solutions of a nonlinear parabolic System and an identification problem | 第58-80页 |
| ·The existence and uniqueness of the solution | 第58-76页 |
| ·Proof of Theorem 1.2.2 | 第76-80页 |
| 4 Optimal control of semilinear parabolic equations with k-approximate periodic solutions | 第80-106页 |
| ·Approximate periodic solution for parabolic equations | 第80-89页 |
| ·Pontryagin's maximum principle of optimal controls for the problem (P_(k,r)) | 第89-102页 |
| ·The existence of optimal controls for the problem (P_(k,r)) | 第102-106页 |
| Bibliography | 第106-116页 |
| Publications | 第116-117页 |
| Acknowledgement | 第117页 |
