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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。

Therefore the lot was for the rest of the children of Manasseh according to their families: for the children of Abiezer and for the children of Helek and for the children of Asriel and for the children of Shechem and for the children of Hepher and for the children of Shemida; these were the male children of Manasseh the son of Joseph according to their families.

17：2 玛拿西其余的子孙，按着家族拈阄分地，就是亚比以谢的子孙，希勒的子孙，亚斯列的子孙，示剑的子孙，希弗的子孙，示米大的子孙；这些按着家族，都是约瑟儿子玛拿西子孙中的男丁。

There was also a lot for the rest of the children of Manasseh by their families; for the children of Abiezer, and for the children of Helek, and for the children of Asriel, and for the children of Shechem, and for the children of Hepher, and for the children of Shemida: these were the male children of Manasseh the son of Joseph by their families.

17：2 玛拿西其馀的子孙，按着宗族拈阄分地，就是亚比以谢子孙，希勒子孙，亚斯列子孙，示剑子孙，希弗子孙，示米大子孙。这些按着宗族，都是约瑟儿子玛拿西子孙的男丁。

The relationships among the five families are very close, so we support the view that these five families can be combined into one family Acrididae.(3) It is suggested that Arcypterinae, Gomphoceridae and Chrysochraontinae be combined into Gomphocerinae of the family Acrididae.

在与我国传统分类和国外分类系统比较基础上，结合我们的系统树，建议将网翅蝗亚科、槌角蝗科和绿洲蝗亚科合并，恢复国际用名大足蝗亚科Gomphocerinae。

The taxonomic system is very different from the one used widespreadly by foreign scholars. The taxonomic status and the phylogentic relationships among the five families Catantopidae, Acrididae, Oedipodidae, Arcypteridae, Gomphoceridae is the main controversy. In order to provide enough proofs for improving the taxonomic system, it is necessary to study the phylogeny of five families of Acridoidea based on molecular markers.

但此分类系统与国外所用的分类系统差别较大，争论的焦点在于斑腿蝗科、剑角蝗科、斑翅蝗科、网翅蝗科和槌角蝗科5个科的分类地位及其相互关系，因此我们从分子水平上探讨这5科的系统发育关系，为完善蝗总科分类系统提供一些必要的证据。

The members of the same genus and family were grouped together. The polyogenetic relationships of 8 families were Pyrgomorphidae →Chrotogonidae→Pamphagidae→Oedipodidae→Acrididae→Arcypteridae→Gomphoceridae→Cantantopidae.Pygomorphidae had closer relationships with Chrotogonidae as well as being the most ancestral group. Arcypteridae and Gomphoceridae were the sister groups and had closer relationships with most evolutionary Catantopidae. Tridactylidae was divided firstly as a suborder,which differs from the recent taxonomy distinctly. Haglidae and Gryllidae were grouped into suborder Ensifera, Tetrigidae and 8 families of Acridoidea were grouped into suborder Caelifera, as same as recent taxonomy.

分子系统树表明：科内的属和属内的种均优先聚在一起；蝗总科8科的起源关系为：锥头蝗科→瘤锥蝗科→癞蝗科→斑翅蝗科→剑角蝗科→网翅蝗科和槌角蝗科→斑腿蝗科；锥头蝗科与瘤锥蝗科关系较近，是蝗总科内最原始的类群；槌角蝗科和网翅蝗科互为姐妹群，与最进化的斑腿蝗科关系较近；蚤蝼科为独立的一支，最先分出，似为一个亚目，与现用的分类系统有明显差别；哈螽科和蟋蟀科聚在一起为剑瓣亚目，蚱科和蝗总科的8科组成短瓣亚目，同现用的分类系统。

Thus just three families, the Fabaceae (higher eudicots-rosids), Poaceae (monocots-commelinoids), and Asteraceae (higher eudicots-asterids) account for more than 34% of the total number of C-values, and the addition of just four further families, Alliaceae (monocots-Asparagales), Solanaceae (higher eudicots-asterids), Ranunculaceae (lower eudicots-Ranunculales) and Commelinaceae (monocots-comme-linoids) account for more than 525 % of the data.

因此，只有三个家庭，豆科（高eudicots -蔷薇分支），禾本科（ monocots - commelinoids ），菊科（高eudicots -菊分支）的帐户超过34个，占总人数的C值，并增设短短的4进一步家人，葱（ monocots -天门冬目），茄科（高eudicots -菊分支），毛茛科（下eudicots - ranunculales ）和commelinaceae （ monocots - comme - linoids ）占多525 ％的数据。

The families Fabaceae, Apocynaceae, Rubiaceae, and Vitaceae had more species richness, while the families Fabaceae, Malpighiaceae, Euphorbiaceae, Convolvulaceae and Celastraceae had higher important value.

木质藤本之优势度集中於少数种类，主要有搭肉刺、山葛、猿尾藤及亨利氏伊利基藤等。

However, the taxa of strictly tropical distribution are still underrepresented in the flora of southeastern Yunnan compared to Indo-Malaysian flora, and the families of mainly subtropical to temperate distribution, such as Magnoliaceae, Theaceae, Cornaceae, Styracaceae, Symplocaceae, Aquifoliaceae and Caprifoliaceae, are well represented in the flora. Some characteristic families of temperate East Asia, such as Diapensiaceae, Dipentodontaceae, Eupteleaceae, Grossulariaceae and Toricelliaceae are also present in the flora of southeastern Yunnan.

由於位於东南亚热带北缘山地及其地质历史原因，云南东南部的热带植物区系中严格热带分布的成分不多，仍以边缘热带成分为主，并有相对丰富的亚热带－温带科如木兰科、山茶科、山茱萸科、山矾科、忍冬科、冬青科等以及一些东亚和喜马拉雅特徵科，如岩梅科、十齿花科、领春木科、茶藨子科和鞘柄木科，显示了它与东亚温带植物区系也有较多联系。

The dominant families or the characteristic families are Theaceae, Aquifoliaceae, Fagaceae, Caprufoliaceae、Lauraceae、Vutaceae、Compositae、Myrsinaceae、Araliaceae、Euphorbiaceae、Eriaceae、Moraceae、Rubiaceae, and most of them are of tropical-subtropical distribution.

本区系的优势科或表征科是山茶科、冬青科、壳斗科、忍冬科、樟科、葡萄科、菊科、紫金牛科、桑科、五加科、大戟科、杜鹃花科、桑科、茜草科，绝大多数是热带亚热带分布的。

Green function defined inphase space differs from one in coordinate space by its struc-ture which exhibits nonlocatity in coordinates and oscillatorybehavior with respect to momenta.

在相空间中定义的Green函数不同于通常坐标空间的Green函数，在结构上显示出对坐标的高度非局域性，而对动量则显示出振荡行为。

The upper front part of a saddle;a saddlebow.

前鞍桥马鞍前面的上部分；前鞍桥