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In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中,我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究,解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题,恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族,建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理,获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理,得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果,获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件,从实质上推广了现有的相关结果;得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理,还建立了一系列其他研究结果。

Lights go out all around the world....

算了,我将离开这里。。。

"Oh,Sister,lay off,"said the lout.

&&喂,姐姐大人,算了罢,那小流氓说。

"A man?" said Sue, with a jew'' s-harp twang in her voice."Is a man worth—but, no, doctor; there is nothing of the kind."

&男人?&休像犹太的竖琴一样从鼻子堶韝F一声,&男人难道值得——可是,哎,算了,大夫,根本没那回事。&

I'll just have a Long Island Ice Tea.

算了。要杯长岛冰茶。

The Spaniards took the ransom, and then get ready to burn Atahualpa at the stake until he made a last-minute conversion to Christianity, which prompted them to show "mercy": they hanged him instead.

那些西班牙人取得赎金之后,就准备把阿塔瓦尔帕绑在柱上烧死,到阿塔瓦尔帕最后一刻改信基督,他们才「大发慈悲」:把他吊死算了

Of or relating to the French dynasty founded by Hugh Capet.

就休在聚会上对我说粗话一事,我找他算了帐。

If we go beyond the provinces south of the Great Wall and include Mongolia, Sinkiang, Chinghai and Tibet, then the unoccupied area will constitute the greater part of China's territory, and the enemy-occupied area will become the smaller part, even with the three northeastern provinces.

如果超越本部的范围,而把蒙古、新疆、青海、西藏算了进来,则在面积上中国未失地区仍然是大半,而敌占地区包括东三省在内,也只是小半。

Now, if you are wise, you will not bother to explain to your "assistant" that Correggio is indexed under the C's, not in the K's, but you will smile very sweetly and say,"Never mind," and go look it up yourself.

真的,如果你是聪明的人,就不必对你的&助手&解释,克里季奥是C字头的,而不是K字头的,你会满面笑容地说&算了&,然后自己去查。

They are set like jell-o, and taste awful, and not to mention, quadruple the price!

原来想吃些甜品,但实在太饱,台面的东西也无法食完,还是算了吧!

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The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应,而且减少跟风的可能性。

The new PS20 solar power tower collected sunlight through mirrors known as "heliostats" to produce steam that is converted into electricity by a turbine in Sanlucar la Mayor, Spain, Wednesday.

聚光:照片上是建在西班牙桑路卡拉马尤城的一座新型PS20塔式太阳能电站。被称为&日光反射装置&的镜子将太阳光反射到主塔,然后用聚集的热量产生蒸汽进而通过涡轮机转化为电力