| 摘要 | 第7-9页 |
| Abstract | 第9-10页 |
| Chapter 1 Introduction and Preliminaries | 第12-41页 |
| 1.1 Introduction | 第12-18页 |
| 1.2 Preliminaries | 第18-41页 |
| 1.2.1 Stochastic integrals with Brownian motion | 第18-21页 |
| 1.2.2 Stochastic integrals with Poisson jumps | 第21-25页 |
| 1.2.3 The Wiener integral for the fractional Brownian motion with H>1/2 | 第25-29页 |
| 1.2.4 Integro-differential equations | 第29-31页 |
| 1.2.5 Differential equaitons with delay | 第31-35页 |
| 1.2.6 Impulsive differential equations | 第35-38页 |
| 1.2.7 Some useful inequalities | 第38-41页 |
| Chapter 2 Well-posedness for neutral stochastic integro-differential equa-tions with delay and Poisson jumps | 第41-74页 |
| 2.1 Well-posedness for neutral stochastic integro-differential equations with finite delay and Poisson jumps | 第41-61页 |
| 2.1.1 Introduction and prelimiimry results | 第41-47页 |
| 2.1.2 Existence and uniqueness of mild soluiton | 第47-55页 |
| 2.1.3 Stability of mild solution | 第55-57页 |
| 2.1.4 Application | 第57-61页 |
| 2.2 Well-posedness for neutral impulsive stochastic delay integro-differential equations with local non-Lipschitz conditions and Poisson jumps | 第61-74页 |
| 2.2.1 Introduction and results | 第61-67页 |
| 2.2.2 Proof of Theorem 2.2.2 | 第67-72页 |
| 2.2.3 Corollaires and remarks | 第72-74页 |
| Chapter 3 Global attracting set for neutral stochastic delay evolution equa-tions | 第74-114页 |
| 3.1 Global attracting and quasi-invariant sets for neutral impulsive SPFDE with Poisson jumps | 第74-97页 |
| 3.1.1 Introduction and results | 第74-81页 |
| 3.1.2 Proof of Theorem 3.1.1 | 第81-89页 |
| 3.1.3 Proof of Theorem 3.1.2 | 第89-92页 |
| 3.1.4 Proof of Corollary 3.1.1 and 3.1.2 | 第92-95页 |
| 3.1.5 Corollary and remarks | 第95-97页 |
| 3.2 Well-posedness and global attracting set for neutral stochastic delay integro-differential equations driven by a fractional Brownian motion | 第97-114页 |
| 3.2.1 Introduction and preliminary results | 第97-101页 |
| 3.2.2 Existence and uniqueness of mild soluiton | 第101-108页 |
| 3.2.3 Global attracting set | 第108-112页 |
| 3.2.4 Corollary and remarks | 第112-114页 |
| Chapter 4 Controllability of second order neutral impulsive stochastic dif-ferential equations with infinite delay and Poisson jumps | 第114-137页 |
| 4.1 Introduction and results | 第114-126页 |
| 4.2 Proof of Theorem 4.1.1 | 第126-132页 |
| 4.3 Application | 第132-136页 |
| 4.4 Conclusion | 第136-137页 |
| Chapter 5 Asymptotic behavior for stochastic 2D Navier-Stokes equations with delays and Poisson jumps | 第137-156页 |
| 5.1 Introduction and results | 第137-144页 |
| 5.2 Proof of Theorem 5.1.1 | 第144-149页 |
| 5.3 Proof of Theorem 5.1.2 | 第149-154页 |
| 5.4 Remarks | 第154-156页 |
| Bibliography | 第156-171页 |
| Publications and Finished Papers | 第171-173页 |
| Acknowledgements | 第173-174页 |
