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Institute of Statistics and Actuary, Shandong Economic UniversityAbstract We consider the risk process perturbed by diffusion under interest force in this article. The integral expressions, continuities, twice continuous differentiability and integro-differential equations about $F_{\delta}$, the distribution of the surplus immediately before ruin, and $H_{\delta}$, the joint distribution of the surplus immediately before ruin and the deficit at ruin are obtained.

我们考虑既带有随机干扰又带有确定投资回报的风险过程，得到了破产前瞬间盈余的分布$F_{\delta}$及破产前瞬间盈余和破产时赤字的联合分布$H_{\delta}$所满足的积分表达，连续性及二次连续可微性和积分--微分方程。

Hot on its heels is a seriously perturbed tortoise racing for the horizon in this Costa Rican forest.

一只焦躁不安的乌龟正往这片哥斯达黎加森林的地平线狂奔。

Cytosine methylation is required for mammalian development and is often perturbed in human cancer.

胞嘧啶甲基化对哺乳动物的正常发育是必需的，而且常常在人类的癌症中发生异常。

This paper provide some results regarding upper semi continuity as well as lower semi continuity of cone efficient,and weakly cone efficient solution s in vector optimization with decision cone is perturbed.

研究了当控制锥受扰动时，具有集值映射向量优化问题的锥有效解和锥弱有效解的上、下半连续

Finally, we consider the classical risk process perturbed by diffusion again.

关于G〓的一些结果在Wang（1999）中已给出。

By analysis on perturbed intensively dissipative system, we put forward a effective control method which can driving the patterns drifting in the attractor space.

研究表明：对具有惯性流形的耗散系统，很小的有效控制能驱动系统在吸引子空间中漂移。

Applying the convexification of nonconvex function and the theorem in Chapter 2, we establish the perturbed optimization in the bounded subsets of the dual of locally convex spaces

运用非凸函数凸化的方法以及第二章给出的命题，在局部凸空间的对偶空间的有界子集上建立相应的的扰动优化和变分原理

Thus, we get the eigenfunctions and eigenvalues of a class of the singularly perturbed eigenvalue problem with the turning point.

本文研究一类具有转向点的二阶方程在大特征值的情形下的奇摄动特征函数和特征值问题。

The nonlinear functional for singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered.

研究了具有边界摄动的非线性泛函椭圆型方程奇摄动边值问题。

However,their fluorescence emission intensities decreased by 16-22% and the ellipticity values at the negative trough increased by 13-16% for the mutants,indicating that the conformation of prochymosin was perturbed after mutation.

但它们的荧光强度下降了16-22%，在负谷中的最大椭圆值增加了13-16%，表明突变确实给凝乳酶原的空间结构造成了微扰。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。