topological degree

In this paper, we investigate the homeomorphism for contract-condensing mappings and monotone mappings by using topological degree.

用拓扑度研究了压缩-紧的同胚映射和单调的同胚映射。

There's many methods to study it, such as algebraic method, variational method, fixed point method, topological degree homotopy method, monotone iterated method, homeomorphism method.

研究方法非常多，通常有代数方法，变分方法，不动点方法，拓扑度同伦方法，单调迭代方法，微分同胚方法等。

With the topological degree , the fixed theorems for upper semicontinuous set-valued 1-set-contractive mapping is studied.

研究了上半连续集值 1- 集压缩映射的不动点定理.

In this paper, by using the extended theorem of the theory of topological degree, a sufficient con-dition is obtained for the existence of a positive periodic solution to Rosenzweig-Macarthur model.

本文利用拓扑度理论中的拓展定理，得到Rosenzweig-Macarthur模型的正周期解存在的充分条件。

He paper gives out a theorem about the calculation of topological degree by using the fact that the radical set is contractible, and gets some fixed point theorems of the condensed mapping on the radical set.

利用放射集是可缩的这一事实给出了凝聚场拓扑度计算的一个定理，进而在放射集上得到了凝聚映射的一些不动点定理。

In this paper the degree theory of mapping of type ( S)_+ is extended to the class of type ( H), and its topological degree has been constructed.

本文将（S）+型映射度的有关理论扩展到（H）型映射类。

Application ol the Topological Degree to Optimal Theory of Large Scale Systems

拓扑度在大系统最优控制理论中的应用

It provides an effect theoretical tool for studying many nonlinear problems, mainly including topological degree method, variational method, partial ordering method and analytic method and so on.

它为解决各种各样的非线性问题提供了一个富有成效的理论工具。利用非线性泛函分析研究问题的主要方法有：拓扑度理论、临界点理论、半序方法以及分析方法等。