| 摘要 | 第8-9页 |
| Abstract | 第9页 |
| Chapter 1 Preface | 第10-22页 |
| 1.1 Introduction | 第10-17页 |
| 1.2 Some known results of Index Theory | 第17-19页 |
| 1.3 Some Lemmas | 第19-22页 |
| Chapter 2 Nonlinear Boundary Value Conditions and Ordinary Differential Systems with Impulsive Effects | 第22-39页 |
| 2.1 Preliminaries and main results | 第22-26页 |
| 2.2 Proof of the Theorem 2.1.1 | 第26-29页 |
| 2.3 Applications to Hamiltonian systems | 第29-39页 |
| 2.3.1 Applications to fibrst order Hamiltonian systems | 第29-33页 |
| 2.3.2 Applications to second order Hamiltonian systems | 第33-35页 |
| 2.3.3 Applications to first order Hamiltonian system with impulses | 第35-37页 |
| 2.3.4 Applications to second order Hamiltonian system with impulses | 第37-39页 |
| Chapter 3 Nonlinear Sturm-Liouyille Boundary Value Problems for Second Order Hamiltonian Systems with Impulsive Effects | 第39-46页 |
| 3.1 Main results | 第39-40页 |
| 3.2 Proof of Theorem 3.1.1 | 第40-46页 |
| Chapter 4 Existence of Solutions for Second Order Hamiltoman Systems with Resonance | 第46-64页 |
| 4.1 Index theory for second order linear Hamiltonian systems | 第46-51页 |
| 4.2 A generalization of a theorem by Pipan-Schechter | 第51-54页 |
| 4.3 Existence of solutions for second order Hamiltonian systems | 第54-59页 |
| 4.4 Multiple solutions for symmetric Hamiltonian systems | 第59-61页 |
| 4.5 Three solutions for symmetric Hamiltonian systems | 第61-64页 |
| Chapter 5 Second Order Hamiltonian Systems with Periodic Potentials | 第64-69页 |
| 5.1 Main results | 第64-65页 |
| 5.2 Proof of Theorem 5.1.1 | 第65-66页 |
| 5.3 Applications | 第66-69页 |
| Bibliography | 第69-74页 |
| Acknowledgements | 第74-75页 |
| Publications or Preprints | 第75页 |
