查询词典 theorem of alternative

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。

In this paper,we consider the existence and uniquness of solution for Dirichlet problem of the Helmholtz equation on the domain with corners, i.e problemFor smooth boundary,we use potential theory to transform the problem into second kind boundary integral equation ,and use Fredholm alternative theorem,we obtain the existence and uniqueness of Dirichlet problem.

在本文中，我们考虑边界含尖点的有界区域上Helmholtz方程△u+k~2u=0的Dirichlet问题即问题与问题解的存在及唯一性。

Boundary integral equation;Fredholm alternative theorem;potential theory

论文导师严国政，论文学位硕士，论文专业基础数学

Applying the theorem of alternative of subconvexlike map and other some conclusions, the optimality conditions represented by gradient for the vector extremum problems with generalized inequality constraint are obtained.

在线性拓扑空间中，引入了G-可微函数的梯度的概念，运用次似凸映射的择一定理和其他一些结论，获得了带广义不等式约束的向量极值问题的一种含有梯度的最优性条件。

In ordered linear topological space, the concept of (u,O_2,Y_ )- generalized subconvexlike map is defined, and some important properties of the concept are discussed, and the alternative theorem of the map is established.

在序线性拓扑空间中，定义了(u，0_2；Y_ )-广义次似凸映射的概念，并讨论了它的一些性质，建立了此映射的择一定理。

There are a number of alternative formulations of the reciprocity theorem.

还有许多别的互易定理的公式。

By using the theorem of alternative,we obtain the necessary and sufficient conditions for strong efficient solutions to be the generalized saddle point in vector optimization problems with set-valued maps under the assumption of nearly cone-subconvexlikeness.

Yang[1]引进了近似锥-次类凸集值映射的概念，其他广义凸集值映射都是它的特殊形式。最近，Sach[2]在集值优化问题中引进了一种广义鞍点，通常的Lagrange泛函的鞍点是它的一种特殊形式。

In the sense of weak effective solution,the problems of Lagrange duality and saddle point are discussed under the convexlike condition.An alternative theorem of the system containing a semidefinite constraint of a matrix function is established at first.

首先在似凸条件下建立了一个含矩阵函数半定约束系统的择一性定理，由此得到多目标半定规划及其在弱有效解意义下的Lagrange对偶理论，包括弱对偶、强对偶和逆对偶等。

According to the basic principle of alternative current field measurement,the alternative current field sensor was designed,which was made up of drive coil and induction coil .

根据交变磁场测量法的基本原理，设计了一种由激励线圈和感应线圈组成的交变磁场传感器，可对空间"点"磁场进行测量。

The study helps to boost the growing field of alternative medicine or complementary medicine, and provides data for women seeking a safe,"natural" alternative to prescription medications for their side effects.

这项研究有助于推动增长领域的替代医学或辅助医学，并提供数据的妇女寻求一种安全，"自然"替代处方药的副作用。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48