| Abstract | 第1-13页 |
| Abstract in Chinese | 第13-20页 |
| Chapter 1 Global Structure of Positive Solutions of Nonlinear Sturm-Liouville Boundary Value Problems | 第20-47页 |
| §1.1 Introduction and Preliminaries | 第20-23页 |
| §1.2 Global Structure of Positive Solutions In the Sublinear Case | 第23-32页 |
| §1.2.1 In the Case That f Is Not Singular | 第23-26页 |
| §1.2.2 In the Case That f Is Singular | 第26-32页 |
| §1.2.3 Example | 第32页 |
| §1.3 Global Structure of Positive Solutions In the Superlinear Case | 第32-47页 |
| §1.3.1 In the Case That f Is not Singular | 第32-38页 |
| §1.3.2 In the Case That f Is Singular | 第38-46页 |
| §1.3.3 Example | 第46-47页 |
| Chapter 2 Positive Solutions of Boundary Value Prob?lems for Systems of Nonlinear Ordinary Differential Equa?tions | 第47-66页 |
| §2.1 Introduction and Preliminaries | 第47-48页 |
| §2.2 Existence of Positive Solutions In the Sublinear Case | 第48-57页 |
| §2.2.1 In the Case That f Is Not Singular | 第48-52页 |
| §2.2.2 In the Case That f Is Singular | 第52-56页 |
| §2.2.3 Example | 第56-57页 |
| §2.3 Existence of Positive Solutions In the Superlinear Case | 第57-65页 |
| §2.3.1 In the Case That f Is Not Singular | 第57-60页 |
| §2.3.2 In the Case That f Is Singular | 第60-64页 |
| §2.3.3 Example | 第64-65页 |
| §2.4 Application | 第65-66页 |
| Chapter 3 Positive Solutions of Nonlinear Differential Equations on Measure Chains | 第66-83页 |
| §3.1 Introduction and Preliminaries | 第66-71页 |
| §3.2 Existence Results In the Sublinear Case | 第71-73页 |
| §3.3 Existence Results In the Superlinear Case | 第73-77页 |
| §3.4 Existence Results In the Case That the Nonlinear Term Is Allowed to Be Negative | 第77-83页 |
| Bibliography | 第83-88页 |
| Acknowledgements | 第88-89页 |
| Papers Published During Studying for the Doctorate | 第89-90页 |
| 学位论文评阅及答辩情况表 | 第90页 |
