| 中文摘要 | 第1-5页 |
| ABSTRACT | 第5-14页 |
| Chapter Ⅰ Perface | 第14-23页 |
| Chapter Ⅱ An Optimal Error Estimate of H1 Galerkin Expanded Mixed Finite Element Methods for Nonlinear Pseudo-parabolic Integro-diferential Equations | 第23-43页 |
| §2.1 Introduction | 第23-25页 |
| §2.2 H1-Galerkin Expanded Mixed Finite Element Method for Nonlinear Pseudo-Parabolic Integro-diferential Equation | 第25-32页 |
| §2.2.1 Weak Formulation | 第25-28页 |
| §2.2 .2 Preliminaries | 第28-29页 |
| §2.2.3 Numerical Scheme | 第29-32页 |
| §2.3 Error Estimates for the Semi-discrete Scheme | 第32-39页 |
| §2.4 Numerical Example | 第39-42页 |
| §2.5 Conclusion | 第42-43页 |
| Chapter Ⅲ An Optimal Error Estimate of H1 Galerkin Expanded Mixed Finite Element Methods for Nonlinear Viscoelasticity Type Equation | 第43-58页 |
| §3.1 Introduction | 第43-44页 |
| §3.2 Semi-discrete Scheme | 第44-49页 |
| §3 .3 Error Analysis | 第49-57页 |
| §3.4 Conclusion | 第57-58页 |
| Chapter Ⅳ Numerical Analysis of a Linear-Implicit Average Scheme for Generalized Benjamin-Bona-Mahony-Burgers Equation | 第58-70页 |
| §4.1 Introduction | 第58-59页 |
| §4.2 Finite Diference Scheme and Estimate for the Diference Solution | 第59-62页 |
| §4.3 Solvability | 第62-63页 |
| §4 .4 Convergence and Stability of the Diference Scheme | 第63-66页 |
| §4.5 Numerical Experiments | 第66-69页 |
| §4.6 Conclusion | 第69-70页 |
| Chapter Ⅴ Viscosity Approximation Method for Solving Equilibrium Problem, and Fixed Point Problems of Infnite Family of ki-strictly Pseudocontractive Mappings with Application to Minimization Problem | 第70-97页 |
| §5.1 Introduction | 第70-74页 |
| §5.2 Preliminaries | 第74-77页 |
| §5.3 Main Results | 第77-88页 |
| §5.4 Numerical Examples | 第88-95页 |
| §5 .5 Conclusion | 第95-97页 |
| Chapter Ⅵ A New Iterative Scheme for Equilibrium Problems, Variational Inequality Problems, and Fixed Point Problems of Infnite Family of Strictly Pseudocontractive Mappings, Nonexpansive Semigroup | 第97-131页 |
| §6.1 Introduction | 第97-101页 |
| §6.2 Preliminaries | 第101-104页 |
| §6.3 Main Results | 第104-130页 |
| §6.4 Conclusion | 第130-131页 |
| Chapter Ⅶ A Hybrid Steepest Descent Method for Equilibrium Problems,Variational Inclusions, Variational Inequality Problem and Fixed Point Problems of Nonexpansive Semigroup,Pseudocontractive Mapping, and an Infnite Family of ki-strictly Pseudocontractive | 第131-162页 |
| §7.1 Introduction | 第131-135页 |
| §7.2 Preliminaries | 第135-136页 |
| §7.3 Main Results | 第136-161页 |
| §4 .4 Conclusion | 第161-162页 |
| References | 第162-174页 |
| Papers Published in the Period of Ph.D Education | 第174-175页 |
| Acknowledgement | 第175页 |
