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This dissertation is devoted to studying the ruin theory on the dual risk model with several dividend rates and on the bidimensional perturbed risk model with or without stochastic disturbance, which includes the discounted expected function about the dual risk model with three dividend rates and the ruin probability on the bidimensional perturbed risk model.

本文致力于研究分多段分红的对偶风险模型及二维风险模型的破产理论,主要研究了分三段分红的对偶风险模型的折现红利的期望函数,并对带有扰动项的二维风险模型的破产概率做了研究。

Lastly, the ruin probability of the bidimensional perturbed risk model are studied, whose upper bound of Lundberg-type within infinit-time is obtained and discussed for the case of light-tailed using the martingale technique, the conclusion is gotten that the strength of the dependent of B strongly impact the upper bound can be achieved.

第四章主要研究了带有扰动项的二维风险模型的破产概率,应用鞅论的技巧,在轻尾条件下,求出Lundberg-type在无限时间内的破产概率的上界;并对破产概率的上界进行讨论,获得的相关性的强弱影响着破产概率可达到的上界。

This number is closely related to the number of limit cycles which are bifurcated from the generic perturbed Hamiltonian systems 〓.

这个数目与n次通有的Hamilton扰动系统〓分岔出的极限环数目密切相关,其中〓。

By local bifurcation theory and perturbation theory,the existence of local bifurcating solution and its stability are obtained.

研究了一类带简化的Mound-Haldane反应项的捕食-食铒模型的局部共存解存在性及其稳定性,运用局部分歧理论及特征值扰动理论,得到了该模型的局部分歧解存在的充分条件及其解的稳定性。

Internal tides (internal waves of tidal frequency) are generated, usually in the connecting area between shelf and slope, by the tide-topography interactions and they have many effects on biocoenosis and objects in the ocean.

海洋中的陆架坡折区是地形变化剧烈的区域之一,当表面潮与这里的地形发生相互作用时,在该区域层化的海水内部引起强烈的扰动从而形成内潮。

The relation between soil acidification and nitrogen cycle disturbed by man made factors was studied from the viewpoint of biogeochemical cycle, and the mechanism of soil acidification induced by disturbed nitrogen cycle was probed.

从生物地球化学循环的观点出发,研究了 N 循环的人为干扰与土壤酸化的关系,并探讨了 N 循环扰动下导致土壤酸化的机理。

Among a great deal of effects that affect the firing precision of gun, the muzzle blast wave is an important factor.

在诸多影响射击精度的因素中,膛口流场对弹丸的扰动是一个重要因素。

It solves the imaging problem in great contrast. In chapter 2, the author deeply studies and analyzes the arithmetic of the method of Born approximation inversion and points out the limitations and disadvantage of the method. The good inverse results can be obtained in little disturbance by Born approximation.

本文提出的反演理论,考虑到散射序列中高阶项对成像结果的影响,在反演时利用逆散射序列中的高阶项以弥补散射场数据的丢失,使得在大扰动量的情况下同样能够实现界面位置和形态的精确成像,解决了大对比度情况下的成像问题。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the βperturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画;并且通过引入新的局部凸拓扑的方法,给出任意Banach空间的β扰动优化。

First we give the characterization of subsets on which every real-valued convex function bounded above is continuous on the space, and give the fi-perturbed optimization in Banach space by introducing new locally convex topology.

给出了广义实值凸函数在集合A上有上界则连续的一类子集的特征性刻画;并且通过引入新的局部凸拓扑的方法,给出任意Banach空间的β扰动优化。

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