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.
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