| Abstract in English | 第1-10页 |
| Abstract in Chinese | 第10-13页 |
| Chapter 1 Positive Solutions of Nonlinear Singular Second Order Two-Point Boundary Value Problem | 第13-31页 |
| ·The boundary condition with a parameter | 第13-22页 |
| ·The boundary condition with two parameters | 第22-23页 |
| ·Positive solutions for second-order two-point boundary value problem on infinite interval | 第23-29页 |
| ·Notes | 第29-31页 |
| Chapter 2 Positive Solutions of Nonlinear Singular Three-Point Boundary Value Problem | 第31-51页 |
| ·The boundary condition is relating to u(η) | 第31-46页 |
| ·The boundary condition is relating to u'(η) | 第46-48页 |
| ·The boundary condition with parameters | 第48-51页 |
| Chapter 3 Random Fixed Point Theorems and Random Critical Point | 第51-69页 |
| ·A random fixed point index for random generalized inward mappings of condensing type | 第51-57页 |
| ·The existence theorem of three random fixed points for weakly inward maps | 第57-62页 |
| ·Random critical point | 第62-69页 |
| References | 第69-73页 |
| Acknowledgement | 第73-74页 |
| Published Paper and Submitted Paper During the Doctor Time | 第74-75页 |
