| Abstract (in English) | 第1-4页 |
| Abstract (in Chinese) | 第4-6页 |
| List of Figures | 第6-7页 |
| Chapter 1 Definition of Some Concepts Basic | 第7-21页 |
| ·General Introduction | 第7-9页 |
| ·Existence and uniqueness of solution | 第9-11页 |
| ·Oscillation and periodic solution | 第11-15页 |
| ·Stability of solution | 第15-17页 |
| ·Global stability of the solution | 第17-18页 |
| ·Boundedness of solution | 第18-21页 |
| Chapter 2 Global Stability | 第21-36页 |
| ·Global stability on non-autonomous population model with several piecewise constant arguments | 第21-24页 |
| ·The globally asymptotically stability of the positive equilibrium | 第24-26页 |
| ·Global stability of non-autonomous delay differential equations with several piecewise constant arguments. | 第26-36页 |
| Chapter 3 Exponential Runge-Kutta methods for ordinary differential equations (ODEs) prove the convergence results on | 第36-44页 |
| ·Exponential Runge-kutta methods for ODEs | 第36-37页 |
| ·Exponential Explicit Euler method to ordinary differential equations. | 第37-38页 |
| ·Exponential implicit Euler method for ordinary differential equations | 第38-39页 |
| ·Exponential midpoint method for ordinary differential equations | 第39-44页 |
| Chapter 4 Applied the exponential Runge-Kutta method for non-autonomous population models with piecewise constant arguments | 第44-57页 |
| ·Exponential explicit Euler method | 第45-46页 |
| ·Exponential implicit Euler method | 第46-47页 |
| ·Exponential midpoint method | 第47-57页 |
| Conclusions | 第57-59页 |
| References | 第59-65页 |
| Acknowledgement | 第65-67页 |
| Resume | 第67页 |
