| Chinese abstract | 第1-4页 |
| English abstract | 第4-9页 |
| Chapter Ⅰ Preliminaries of nonlinear functional analysis | 第9-11页 |
| Chapter Ⅱ Fixed points for mixed monotone operators | 第11-17页 |
| §2.1 Introduction | 第11页 |
| §2.2 Existence and uniqueness of fixed points for mixed monotone operators and applicaltions | 第11-17页 |
| Chapter Ⅲ Existence of positive solutions for integral boundary value problems | 第17-58页 |
| §3.1 Introduction | 第17-18页 |
| §3.2 Sufficient and necessary conditions for existence of positive solutions for boundary value problems with a parameter | 第18-29页 |
| §3.3 The case subject to a boundary value problem with non-increasing nonlinearity | 第29-39页 |
| §3.4 Positive Solutions of perturbed boundary value problems | 第39-45页 |
| §3.5 The case subject to a perturbed boundary value problem with non-increasing nonlinearity | 第45-58页 |
| Chapter Ⅳ Positive solutions for singular semi-positone sturm-liouville boundary value problems | 第58-78页 |
| §4.1 Introduction | 第58页 |
| §4.2 C_P~1[0,1]positive solutions of singular boundary value problems | 第58-67页 |
| §4.3 Positive solutions for a nonhomogeneous boundary value problem | 第67-78页 |
| References | 第78-85页 |
| Published and finished papers during the studying period | 第85-86页 |
| Acknowledgement | 第86页 |
