| 摘要 | 第1-7页 |
| Abstract | 第7-8页 |
| Chapter 1 Preface | 第8-18页 |
| ·Summary | 第8-15页 |
| ·Some Results of Critical Point Theory | 第15-18页 |
| Chapter 2 Asymptotically Linear Elliptic Equation with Resonance | 第18-37页 |
| ·Introduction and Main Results | 第18-22页 |
| ·Index Theory for Linear Elliptic Equation | 第22-27页 |
| ·Proofs of The Main Results | 第27-37页 |
| Chapter 3 First Order Hamiltonian Systems | 第37-51页 |
| ·Introduction and Main Results | 第37-39页 |
| ·Index theory for linear Hamiltonian systems | 第39-44页 |
| ·Proofs of Main Results | 第44-51页 |
| Chapter 4 Index Theory for Operator Equations and Applications | 第51-81页 |
| ·Operator equation with finite Morse index | 第51-69页 |
| ·Index Theory for Linear Operator Equations with Finite Morse Index | 第52-58页 |
| ·Asymptotically Linear Operator Equations with Finite Morse Index | 第58-64页 |
| ·Second-order Hamiltonian systems | 第64-66页 |
| ·Homoclinic solutions for second order Hamiltonian systems | 第66-69页 |
| ·Operator equation with infinite Morse index | 第69-81页 |
| ·Index theory for operator equation with infinite Morse index | 第69-79页 |
| ·First order Hamiltonian systems | 第79-81页 |
| Chapter 5 Asymptotically Linear Schrodinger Type Equations | 第81-97页 |
| ·Introduction | 第81-83页 |
| ·Morse Index Theory for Linear Schrodinger Type Equation | 第83-90页 |
| ·Proof of Main Results | 第90-97页 |
| Bibliography | 第97-101页 |
| Publications and Finished Papers | 第101-102页 |
| Acknowledgements | 第102页 |
