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Firstly, we prove the existence and uniqueness of the adapted solution of multi-dimensional backward stochastic differential equations driven by Brownian motion and Lévy process by using predictable representation theorem and the fixed point theorem about contract mapping, and also prove the comparison theory.

第一部分运用可料表示定理和压缩映射原理证明由布朗运动和Lévy过程共同驱动的多维倒向随机微分方程适应解的存在唯一性及其相应的比较定理。

Secondly, we consider stochastic LQ optimal control problem driven by Lévy processes and Brownian motion. By applying the -Lévy formula, Gronwall's inequality, Young's inequality and Cauchy-Schwarz inequality, we obtain the closeness property of the solution of multi-dimensional backward stochastic Riccati differential equations.

第二部分首先研究由布朗运动和Lévy过程共同驱动的随机LQ最优控制问题,接着利用-Lévy公式、Gronwall不等式、Young不等式及Cauchy-Schwarz不等式证明多维倒向随机Riccati微分方程适应解的闭性质,并利用此性质证明一维BSRDE解的存在唯一性。

In part 1, we explore some properties of solution y of a backward stochastic differential equation, such as comparison theorem, reverse comparison theorem and uniqueness theorem of generator.

第一部分研究了倒向随机微分方程的解中y的性质,其中包括解的比较定理,逆比较定理,生成元的唯一性定理。

This causes the Earth to wobble like a spinning top about to slow down and fall onto its side.

这导致地球像一个要慢下来的旋转着的陀螺,倒向了一边。

METHODS: Rabbit models of autogenous vein graft were generated in both groups. After anaesthesia, a median incision was made at the neck to dissociate external jugular vein and common carotid artery of the left side. Following blood flow was blocked at the upper and down sides of the common carotid artery, blood vessels were transected to collect 4.0-5.0 cm external jugular vein at the left side, and placed among the common carotid artery at the same side after inversion. End-to-end anastomosis was performed using discontinuous ecstrophy.

两组兔均建立自体静脉移植模型,麻醉后颈前正中切口,游离出左侧颈外静脉及颈总动脉,在颈总动脉的上下两端阻断血流后,横断血管,取左侧的颈外静脉4.0~5.0cm,上下倒向后置于同侧颈总动脉之间,采用间断外翻法行端端吻合。

Moreover, if the people of eastern Europe felt they had been cut adrift by western Europe, they could fall for populists or nationalists of a kind who have come to power far too often in Europe's history.

此外,如果东欧人觉得自己被西欧疏离了,他们就会倒向那些曾经在欧洲历史上掌权更久的平民主义者和民族主义者的一边。

When Murray outlasted Nadal in the second-set tie-break, though, the momentum was firmly with him.

然而当穆雷在第二盘比分胶着的时候比纳达尔更能坚持,比赛的势头也就紧紧得倒向了他这边。

Asset allocations went wildly out of balance, overweighted to illiquid partnerships as the value of equities plunged.

资产配置完全失去了平衡,随着股市的暴跌倒向了流动性不足的资产。

The setting sun swings to the horizon in the west, horizon burning the afterglow like cow dung fire, big desert bath is in rays of morning or evening sunshine, melon leaf is shaking light twilight.

夕阳倒向西边的地平线,天边燃烧着牛粪火般的晚霞,大漠沐浴在霞光里,瓜叶摇着淡淡的余辉。

In 1 look very didn'ted a little bit brightly smallly fall badly, our center of gravities pour toward same side.

在一个看起来很没亮点的小落差中,我们的重心倒向同一侧。

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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