| 摘要 | 第1-8页 |
| Abstract | 第8-10页 |
| Contents | 第10-12页 |
| 1 Introduction | 第12-28页 |
| ·A Brief Introduction of DAE | 第12-21页 |
| ·The Outline of the Work | 第21-24页 |
| ·Preliminaries | 第24-28页 |
| 2 Stability Analysis for Delay Differential Equations with Multi-Delays and Nu- merical Examples | 第28-41页 |
| ·Delay-Independent Stability of DDEs With Multi-delays | 第28-35页 |
| ·Delay-Dependent Stability of DDEs | 第35-37页 |
| ·Numerical Examples | 第37-41页 |
| 3 Asymptotic Stability for the System of Neutral Delay Differential Equations | 第41-58页 |
| ·Delay-Independent Stability of NDDEs | 第41-52页 |
| ·Delay-dependent stability of NDDEs | 第52-54页 |
| ·Numerical Experiments | 第54-58页 |
| 4 Applications of the Drazin Inverse to Numerical Solutions for Delay Differential-Algebraic Equations | 第58-70页 |
| ·Numerical Solutions for DDAEs | 第58-65页 |
| ·Numerical Experiments | 第65-67页 |
| ·Error Estimations for DDAEs | 第67-70页 |
| 5 Stability of Two-Step Runge-Kutta Methods for Neutral Delay Differential-Algebraic Equations | 第70-82页 |
| ·Introduction | 第70-71页 |
| ·Asymptotic Stability for NDDAEs | 第71-77页 |
| ·Asymptotic Stability of NDDAEs | 第71-72页 |
| ·Asymptotic Stability of TSRK Methods for NDDAEs | 第72-77页 |
| ·Numerical Experiment | 第77-82页 |
| 6 Asymptotic Behavior of a Class of Nonlinear Delay Differential-Algebraic E-quations and applications of the Implicit Euler Methods | 第82-96页 |
| ·Asymptotic Behavior of DDAEs | 第82-90页 |
| ·Contractibility of DDAEs | 第82-88页 |
| ·Asymptotic stability of DDAEs | 第88-90页 |
| ·The Contractibility and Asymptotic Stability Applying Implicit Euler Methods | 第90-94页 |
| ·An Example for Theorem 6.1.1 | 第94-96页 |
| Bibliography | 第96-104页 |
| 在学期间科研情况 | 第104-105页 |
| 致谢 | 第105页 |
