摘要 | 第4-6页 |
Abstract | 第6-8页 |
Chapter 1 Nevanlinna value distribution theory | 第11-21页 |
1.1 Introduction | 第11页 |
1.2 The First Main Theorem | 第11-17页 |
1.3 The Second Main Theorem | 第17-21页 |
Chapter 2 Some important results in the research of complex differ-ential equations | 第21-26页 |
2.1 Notations | 第21页 |
2.2 Wiman-Valiron Theory | 第21-23页 |
2.3 Two Famous Lemmas | 第23-26页 |
Chapter 3 On meromorphic solutions of certain types of nonlineardifferential equations | 第26-54页 |
3.1 Introduction and Main Results | 第26-35页 |
3.2 Lemmas | 第35-36页 |
3.3 Proof of Theorem 3.1.7 | 第36-46页 |
3.4 Proof of Theorem 3.1.15 | 第46-54页 |
Chapter 4 Meromorphic solutions of a certain type of the Briot-Bouquet equations | 第54-74页 |
4.1 Method Introduction | 第54-56页 |
4.2 Introduction of the Briot-Bouquet Equations | 第56页 |
4.3 Meromorphic Solutions of a Certain Type of the Briot-Bouquet Equations | 第56-74页 |
4.3.1 Main Results | 第56-59页 |
4.3.2 Proof of Theorem 4.3.1 | 第59-71页 |
4.3.3 Proof of Theorem 4.3.3 | 第71-72页 |
4.3.4 Proof of Theorem 4.3.4 | 第72-73页 |
4.3.5 Examples | 第73-74页 |
Chapter 5 Meromorphic solutions of a certain type of the Schwarziandifferential equation | 第74-88页 |
5.1 Introduction and Main Results | 第74-79页 |
5.2 Lemmas | 第79页 |
5.3 Proofs of Theorems | 第79-86页 |
5.3.1 Proof of Theorem 5.1.9 | 第79-80页 |
5.3.2 Proof of Theorem 5.1.10 | 第80页 |
5.3.3 Proof of Theorem 5.1.11 | 第80-81页 |
5.3.4 Proof of Theorem 5.1.12 | 第81-86页 |
5.4 Discussion | 第86-88页 |
REFERENCES | 第88-93页 |
Papers published during my PhD program | 第93页 |
Papers finished during my PhD program | 第93-94页 |
致谢 | 第94-95页 |