| Chinese abstract | 第1-5页 |
| English abstract | 第5-11页 |
| Chapter Ⅰ Preliminaries of nonlinear functional analysis | 第11-13页 |
| Chapter Ⅱ Existence of solutions for singular boundary value problems and decision theorems of relative compactness in an infinite interval | 第13-40页 |
| §2.1 Introduction | 第13页 |
| §2.2 Multiple solutions of singular three-point boundary value problems on[0,∞) | 第13-27页 |
| §2.3 Decision theorems of relative compactness for abstract unbounded function groups and its applications | 第27-40页 |
| Chapter Ⅲ Solutions to second-order boundary value problems | 第40-71页 |
| §3.1.Introduction | 第40页 |
| §3.2 Positive solutions for singular second-order three-point boundary value problems | 第40-50页 |
| §3.3 Positive solutions for a singular second order three-point boundary value problem | 第50-61页 |
| §3.4 Existence of nontrivial solutions for second-order periodic boundary value problem | 第61-71页 |
| Chapter Ⅳ Existence of solutions for semipositone boundary value problems | 第71-105页 |
| §4.1 Introduction | 第71页 |
| §4.2 Nontrivial solutions for a sign-changing singular second-order m-point boundary value problems | 第71-84页 |
| §4.3 The case subject to a singular higher-order m-point boundary value problem | 第84-93页 |
| §4.4 Positive solutions for a semipositone system of conjugate boundary value problems | 第93-105页 |
| Chapter Ⅴ Positive solutions for singular nonlinear differential systems | 第105-117页 |
| §5.1 Introduction | 第105页 |
| §5.2 Positive solutions of singular boundary value problems for nonlinear differential systems | 第105-117页 |
| Chapter Ⅵ Solutions of impulsive integral-differential equations of mixed type in Banach spaces | 第117-126页 |
| §6.1 Introduction | 第117页 |
| §6.2 Solutions of second-order impulsive integral-differential equations of mixed type in Banach spaces | 第117-126页 |
| References | 第126-136页 |
| Papers published and finished in the period of Ph.D education | 第136-138页 |
| Acknowledgements | 第138页 |
