本文主要研究了非紧致集上的极大值函数和带不等式约束的广义半无限规划。
This dissertation is devoted to the study of sup-type function on non-compact set and the first-order optimality conditions for generalized semi-infinite programming with inequality constraints.
通过拓扑链回归概念，在非紧致度量空间中引入一类特殊的流———非紧致流，同时给出该类流的一些特性和实例。
According to the concept of topological chain recurrent, a special flow "non-compact flow" is introduced on metric space, some properties and examples of this flow are given.
并由此讨论了紧致的非单连通黎曼流形上无穷多的闭测地线存在性问题。
Also, the paper discuss the existence of the infinite closed geodesics of a compact no-simply connected Riemannian manifold.
采用泰勒展式系数匹配的方法构造出了非等距网格系统的紧致差分格式，并分析了其截断误差。
Compact finite difference scheme (CFDS) based on non-uniform meshes is constructed by matching the Taylor series coefficient expansion, and its truncation errors are analyzed.
首先在没有凸性结构的局部FC-一致空间内引入了非紧性测度和凝聚集值映象概念。
First, the notions of the measure of noncompactness and condensing set-valued mappings were introduced in locally FCuniform spaces without convexity structure.
采用泰勒展式系数匹配的方法构造基于非等距网格的紧致差分格式并得出了它的截断误差。
Compact finite difference scheme (CFDS) on non-uniform meshes and their truncation errors are constructed by matching the Taylor series coefficient expansion.
讨论了紧致非单连通的具非负曲率的流形的一些几何性质，并应用它们证明了具非负曲率的紧致非单连通曲面必为平坦的。
With the help of them, it can be proved that the non-simply connected compact surface with nonnegative curvature must be flat.
电波拉皮是改进皮肤松弛最好的非手术无创治疗方式，是一种安全性高、不会造成伤口的治疗方式，已获医学临床证实能紧致与年轻化皮肤。
Mesotherapy can help to improve the skin loosen conditions which is a non-surgical treatment. It is a very safe treatment. Clinical medicine has been proved to recover youthful skin.
电波拉皮是改进皮肤松弛最好的非手术无创治疗方式，是一种安全性高、不会造成伤口的治疗方式，已获医学临床证实能紧致与年轻化皮肤。
Mesotherapy can help to improve the skin loosen conditions which is a non-surgical treatment. It is a very safe treatment. Clinical medicine has been proved to recover youthful skin.
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