弱连续性

The basic technique used in this paper is the fixed point theory for dif-ferential equations in Banach space.

我们也找出弱解存在的最大时间范围，并探讨此解在趋近边界时的行为；此外，我们也证明了解对初值条件的连续性。

In view of continuous function problems, it is first proved that the-ES algorithm based on uniform distribution converges in probability in a weaker condition by means of the central limit theorem. Then it is proved that the-ES algorithm which adopts the general continuous random variables as its variable operators converges in probability.

针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的-ES算法依概率收效，然后给出了采用一般连续性随机变量作为变异算子的-ES算法依概率收效的证明。

In view of continuous function problems,it is first proved that the-ES algorithm based on uniform distribution converges in probability in a weaker condition by means of the central limit theorem.Then it is proved that the-ES algorithm which adopts the general continuous random variables as its variable operators converges in probability.

针对连续函数优化问题，利用中心极限定理，在较弱的条件下，首先证明了基于均匀分布的-ES算法依概率收敛，然后给出了采用一般连续性随机变量作为变异算子的-ES算法依概率收敛的证明。

According to the characteristics of seismic reflection such as amplitude, continuity, interior structures and exterior shapes, seven seismic facies, including medium amplitude medium continuity and parallel or sub-parallel sheet facies, disorderly filling facies, disorderly progradation facies, hummocky facies, weak amplitude and medium continuity wedge facies, weak-variable amplitude and poor continuity wedge facies, and broom progradation facies, are recognized from the seismic reflection corresponding to Member 2 of Kongdian Formation which is prospective for oil and gas exploration.

利用地震反射波的振幅、连续性、内部结构和外部形态等地震反射特徵，在具有油气勘探前景的孔二段的地震反射中识别出了中振幅中连续亚平行席状相、杂乱充填相、杂乱－斜交前积相、丘状相、弱振幅中连续楔状相、弱变振幅低连续楔状相及帚状前积相等七种地震相。

The variational convergence of real function sequence is extended to vector function sequence and the lower semicontinuity of approximating set of weak Pareto solutions of a given multiobjective decision making problem with general constraint set is obtained by using the variational convergence.

本文将函数序列的v－收敛性推广到向量值函数，在v－收敛性的条件下得到了给定的多目标决策问题的近似弱有效解集的下半连续性并给出了若干容易验证的充分条件。

There isn't maximum principle for polyharmonic equation,so this paper first established a super-sub-sulution theorem via low semi-continuity and changed assistant function.

因为多重调和方程没有极值原理，所以首先利用泛函弱半连续性和适当变换辅助函数的方法建立起多重调和方程的上下解定理。

We obtain the closedness and semicontinuity of cone efficient solution sets and cone weakly efficient solution sets for multiobjective programming problem under constraint cone perturbations.

得到了约束锥扰动多目标规划问题的锥有效解集和锥弱有效解集的闭性和半连续性。

In chapter 4, we discuss further some properties of generalized fuzzy inte-grable functions, and prove that not only generalized fuzzy integrable functions have the weak integral absolute continuity, but also sequences of generalized fuzzy integrable functions have uniform weak and absolute continuity.

进一步讨论了广义模糊可积函数的某些性质，证明了在广义三角模S满足(S-1)的条件下，不仅广义模糊可积函数具有弱积分绝对连续性，而且广义模糊可积函数列具有一致弱绝对连续性。

In order to loose therequirement of continuity as possible,study the construction mechanism andproperty of C1 continuity element,enlarge the constructing area of finiteelement,explore simpler,higher efficient element,based on the weak form ofthe domain equilibrium in this paper,obtains integral continuity condition,weak continuity condition gradually,enlarge the constructing area of finiteelement indeed,concludes that their average strains are identical.

为尽可能放松连续性要求、探讨C1连续有限元的构造机理和特性、扩大有限元的构造范围、寻求简单元高效的单元，本文从区域平衡的弱形式开始，逐步得出积分连续条件、弱连续条件，扩大了有限元的构造范围，得出其平均应变相等的结论。

In order to loose therequirement of continuity as possible, study the construCtion mechanism andpropedy of Cl cofltinuity element, enlnye the construCting area of finiteelement, explore simpler, higher efficient element, based on the weak form ofthe domain equilibrium in this paper, obtains integral continuity condition,weak continuity condition gradually enlarge the construCting area of finiteelement indeed, concludes that their average stralns are identical.

为尽可能放松连续性要求、探讨C_1连续有限元的构造机理和特性、扩大有限元的构造范围、寻求简单元高效的单元，本文从区域平衡的弱形式开始，逐步得出积分连续条件、弱连续条件，扩大了有限元的构造范围，得出其平均应变相等的结论。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失