| Abstract (In Chinese) | 第1-6页 |
| Abstract | 第6-12页 |
| Chapter 1 A Necessary and Sufficient Condition for the Existence of Positive solutions to Singular Sublinear Three-point Boundary Value problems | 第12-27页 |
| ·Instruction and the main results | 第12-15页 |
| ·The proof of theorem 1.1 | 第15-20页 |
| ·The proof of theorem 1.2 | 第20-23页 |
| ·Concerned remarks and applications | 第23-27页 |
| Chapter 2 On Existence Theorems of Positive Solutions to Nonlinear Singular Differential Equations | 第27-41页 |
| ·Instruction and the main results | 第27-29页 |
| ·The. proof of theorem 2.1 | 第29-33页 |
| ·The proof of theorem 2.2 | 第33-35页 |
| ·The proof of theorem 2.3 | 第35-39页 |
| ·Concerned remarks and applications | 第39-41页 |
| Chapter 3 A necessary and sufficient condition for the existence of positive solutions to singular second-order three-point boundary value problem | 第41-54页 |
| ·Instruction and the main result | 第41-43页 |
| ·The proof of theorem 3.1 | 第43-51页 |
| ·Concerned remarks and applications | 第51-54页 |
| Chapter 4 Existence and Uniqueness of smooth Positive Solutions to a Class of Singular m-point Boundary Value Problems | 第54-66页 |
| ·Instruction and the main results | 第54-56页 |
| ·The proof of theorem 4.1 | 第56-62页 |
| ·The proof of theorem 4.2 | 第62-64页 |
| ·Concerned remarks and applications | 第64-66页 |
| Chapter 5 Existence and Uniqueness of Positive Solutions to a Class of Singular m-point Boundary Value Problems | 第66-77页 |
| ·Instruction and the main results | 第66-68页 |
| ·The proof of the main result | 第68-73页 |
| ·Further discussions and remarks | 第73-77页 |
| References | 第77-82页 |
| Papers published in the period of Ph.D eudcation | 第82-83页 |
| Acknowledgements | 第83页 |
