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几类非线性复微分方程的亚纯解研究

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

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