存在性定理

The author proved a general existence theorem when the domain is smooth and noncharacteristic.

当定义域是光滑的和非特征区域时作者证明了一个一般的存在性定理。

Lastly, the existence theorem of three positive solutions for the boundary value problem of second-order singular functional differential equation be established by applying the index theory of fixed points in a cone.

最后，我们应用锥上的不动点指标理论建立了二阶非线性奇异泛函微分方程边值问题的三个正解的存在性定理。

Their relationships with the Pareto effi-ciency are discussed ,and the geometric meaning and economic interpretation for relative efficiency and the existance theorem for relative efficient solution are give.

就多目标优化与决策问题，本文提出了一种解的新概念──—相对有效性和弱相对有效性，并讨论了它们与Pareto有效性之间的关系，给出了相对有效性的几何意义与经济解释及相对有效解的存在性定理，根据这一新概念，设计了一种多目标决策分析方法──—相对有效性决策法。

A new solution concept for multiobjective optimization and decision making──rel-ative efficiency and weak relative efficiency are proposed. Their relationships with the Pareto effi-ciency are discussed ,and the geometric meaning and economic interpretation for relative efficiency and the existance theorem for relative efficient solution are give.

就多目标优化与决策问题，本文提出了一种解的新概念──—相对有效性和弱相对有效性，并讨论了它们与Pareto有效性之间的关系，给出了相对有效性的几何意义与经济解释及相对有效解的存在性定理，根据这一新概念，设计了一种多目标决策分析方法──—相对有效性决策法。

In Chapter 6, we study a kind of system of nonlinear variational inequalities and its related auxiliary problems in real Hilbert space.

针对一类非线性变分不等式系统，我们研究了其相关辅助问题，建立了辅助问题解的存在性定理。

The method is a com- bination of the theory of normally hyperbolic invariant manifolds and an appropriate continuation method.

我们将在第四章利用法向双曲不变流形理论和Kopell，Chicone的延拓方法，来证明2个自由度的非哈密顿扰动系统的2维共振不变环面的存在性定理。

In this paper,we concentrate on studying theμ-invariant measure of jump process.

第二章叙述了全稳定情形的q-过程存在性定理。

To deal with this, a minimal model theory is devel-oped, by which the temporal semantics of MSVL programs is captured.

因此，我们提出了极小模型理论并证明了极小模型的存在性定理。

The practical employment of multidimensional wavelet is only limited to tensor product wavelet. To construct a tensor product orthonormal wavelet basis in L〓, 2〓-1 different mother wavelets are used, and thus storing and computing wavelet basis of large dimension are of prohibitive cost.

根据Meyer的小波基存在性定理，利用张量积方法构造L〓的一个规范正交小波基，需要2〓-1个不同的函数，存储和计算方面的开销太大，在实时应用方面尚有很大的局限性。

It also pointed out that thesolution set of the equation is inconsistent.

3首次提出了逻辑方程的概念，给出了逻辑方程的解的存在性定理，并详细分析了逻辑方程解的性质，指出对于一般的逻辑方程而言，其解集合是不相容的。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。