查询词典 theorem

Based on upper and lower solutions,the existence and uniqueness theorem are established.

以上下解为基础，建立了解的唯一性定理，在适当条件下，构造具体的上下解，得到了解的存在性和唯一性。

By using of the decomposition of equation and the Leray-Schauder fixed point theorem, four existence theorems are established.

通过使用方程的分解技巧和Leray-Schauder不动点定理建立了4个存在定理。

Applying this concept of generalized nuclear cones, we derive another existence theorem of efficient points.

运用这一概念的广义结果，我们得出的另一个存在性定理的有效点。

By constructing suitable Banach spare and applying integral equation, an existence theorem is established.

通过构造适当的Banach空间并且利用积分方程建立了一个存在定理。

The marginal rate of substitution of goods and the existence theorem of the optimal solution is to introduce some of the previous extension of the theory.

商品的边际替代率和最优解存在定理的介绍则是对前面理论部分的延伸。

Furthermore, by exploiting existence theorem, algorithms for SNVI are constructed and the convergence of the algorithm is discussed.

最后，我们讨论了Banach空间中混合非线性变分不等式系统的数值算法。

This paper deals with an existence theorem for a class of quasi-equilibrium problem s in com-pletp metric spaces.

研究完备度量空间中一类拟均衡问题的可解性，由此导出著名的Ekeland变分原理。

For the non-homogeneous multi-dimensional scalar conservation laws, there is no existence theorem of global weak solution.

关于高维单守恒律方程的研究，对于非齐次的情形，至今还没有得到全局弱解的存在性定理。

Every existence theorem of them is proved, respectively.

本文所获的一些结果不仅是非线性泛函分析领域中一系列重要定理的推广，而且它们为随机微分方程、随机积分方程及随机算子方程的研究提供重要的工具。

In the paper, Existence theorem for generalized variational inequalities is established in locally FC-spaces space and its applications are presented.

文章提供关于局部FC-空间上的广义变分不等式的存在性定理，并给出它的一些应用。

The dissecting of samples in group2 were difficult. The root of pulmonary artery and ascending aorta failed to be unfolded because fibrous tissue was tough, right and left fibrous trigone were too firm to be solved by hand. Cardiac muscle fibers couldn't be stripped along myofibrillar trajectory since they were prone to break because of their friability.

组2的心脏解剖困难，表现为纤维组织坚韧，游离肺动脉非常困难；徒手无法松解左、右纤维三角，肺动脉和主动脉根部的游离非常困难；心肌纤维坚硬、质脆，解剖时容易断离成碎块，无法沿纤维走行方向剥离。

We have battled against the odds in a province that has become increasingly violent.

我们对在一个争夺日益激烈省的可能性。