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The existence of the first solution is obtained by using a nonlinear alternative of Leray-Schauder, and the second one is found by using a Krasnoselskii fixed point theorem in cones.

第一个正解的存在性是通过运用非线性Leray-Schauder抉择定理得到的,第二个解是通过Krasnoselskii锥不动点定理得到的。

Some existence and uniqueness theorems for above problem are established by using certain fixed point theorem based on the degree theory.

用基于度理论的不动点定理,建立了一系列存在唯一性定理。

Some sufficient conditions for the existence and multiplicity solutions of positive periodic solutions were obtained by using the fixed point theorem .

讨论一类具分布时滞的微分方程正周期解问题,利用锥不动点定理,获得了这类问题正解存在性和多重性的充分条件,推广和改进了已有文献的相关结果。

Mainly by means of the Hopf bifurcation theorem and the cone fixed point theorem in the functional differential equations.

本文对非线性项为两种形式的时滞Van der Pol方程分别加以比较,利用Hopf分支理论和锥不动点定理,得到相应方程在周期解和Hopf分支方面上的差异。

What we really want is some way of calculating the fixed point of such a function.

我们真正需要的是通过某种途径计算这个函数的不动点。

The tools used in this thesis are global structure, the cone theory and the fixed point index.

本文采用的方法主要是全局结构,锥理论和不动点指数。

This dissertation deals with fixed point theory in gauge space with its application.

本文研究度规空间中的不动点理论及其应用。

Here we mainly use the result in Chapter 1 and through Schauder fixed point principle we prove the result.

这里主要用到了第一章相关的结果,并且通过Schauder不动点原理我们得到相应的结论。

Here we also used the result in Chapter 1 and Schauder fixed point principle.

这里同样用到第一章相关结果和不动点原理。

However, there has been hardly any result for computing fixed point problem in general nonconvex subsets.

对于非凸集上的不动点问题,一直没有相应的结果。

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