| 1. | The open mapping theorem and the closed graph theore
空间的开射定理及闭图定理 |
| 2. | A mapping theorem on sn - metrizable spaces
可度量化空间的映射定理 |
| 3. | Mapping theorems on submeocompact spaces
紧空间的映射定理 |
| 4. | Mapping theorems on quasi - nagata spaces
空间的映射定理 |
| 5. | The level - set method for open mapping theorem and closed graph theorem of menger spaces
空间的开射及闭图定理 |
| 6. | This paper based on the definition of measurable mapping and the characters of mapping , gives the detailed identification of judging measurable mapping theorem
摘要根据可测映射的定义以及映射的相关性质，给出了关于判定可测映射的相关定理的详细证明。 |
| 7. | To the first equation , the banach contraction mapping theorem is used to show the local existence of the solutions , we use potintial well method to prove the global existence and the decay rate of the solutions , to the blow - up of the solution we use the energy method
本文主要采用bananch压缩映射原理来获得解的局部存在性；采用势井方法来获得解的整体存在性和衰减估计；对解的爆破结论的证明主要采用能量方法；对解的能量衰减估计主要采用能量扰动方法。 |
