查询词典 fixed point theorem

I asa natural extension of the classical Newton method,based on a generalizedKakutani fixed point theorem,is presented that is well-defined.

方法I是经典牛顿法的自然推广，它的适定性是基于一个广义的Kakutani不动点定理得到的。

We establish some existence theorems for systems of vector equilibrium problems with_+-conditions by using the Kakutani-Fan-Glicksberg fixed point theorem.

运用经典的Kakutani-Fan-Glicksberg不动点定理证明了一类具_+-条件的向量均衡系统问题解的存在性。

A new Fan-Browder type fixed point theorem is proved under noncompact setting of general topological spaces.

在非紧的一般拓扑空间中证明了一个新的Fan-Browder型不动点定理。

Under Sturm-Liouville conditions, the existence of at least three positive solutions is proved by using Leggett-Williams fixed point theorem.

利用Leggett-Williams不动点定理，研究了在Sturm-Liouville边界条件下的一类二阶常微分方程组多个正解的存在性，得到了至少三个正解存在的充分条件。

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。

We use the Leggett and Williams fixed point theorem to discuss the existence of three positive solutions for the boundary value problem of second-order nonlinear functional differential equation.

我们使用Leggett和Williams不动点定理讨论了二阶非线性泛函微分方程边值问题的三个正解的存在性。

In chapter 4, sufficient conditions of at least one, two and multiple positive periodic solutions to a scalar functional differential equation with muti-finite delays are obtained by using a fixed point theorem introduced in [27] and [85] which is different from the one of a cone compression and expansion of norm type. It generalizes and improves some related results in the literature.

第四章利用文献[27]和[85]中所给出的不同于范数型锥压缩和拉伸的不动(来源：bc1cbcABC论文网www.abclunwen.com)点定理得到了具有有限时滞纯量泛函微分方程至少存在一个、两个和多个正周期解的充分条件，推广并改进了已有的相关结果。

All the known results about analytic solutions for iterative functional differential equations are obtained by the majorant series and the Banach fixed point theorem.

本文的第三章首先利用不动点定理得到了一类迭代泛函微分方程高阶光滑解的存在性、唯一性和关于已知函数的连续依赖性定理，得到了与常微分方程类似的结论。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。