可证明的

In chapter four,at first,we investigate classification theory of the positive homogeneous p-Laplacian equation ,the main method is Prufer's transformation,and then we discuss the nontrivial solution for associated nonhomogeneous equation by making use of Leray-Schauder degree.

接着研究了非齐次方程的可解性。在第四章中，我们首先是建立了正齐次p-Laplacian 方程的分类理论，主要利用Prufer 变换。再应用Leray-Schauder 度理论证明非齐次方程的可解性。

Article 17 of the foreign passport (including spouses and children who are minors), but by the Beijing work and other relevant proof residence to bid for two years, the public security organ or the foreigner's residence permit effective entry visa (many year shall not exceed passport validity), Short-term calchas departure, Beijing may apply for visa.

第十七条持外国护照的留学人员，可凭《北京市工作居住证》等有关证明向公安机关申办两年有效的外国人居留许可或一年多次出入境签证；短期来京不能按期离境的，可申请签证延期。

For the Riemann boundary value problems for the first order elliptic systems , we translates them to equivalent singular integral equations and proves the existence of the solution to the discussed problems under some assumptions by means of generalized analytic function theory , singular integral equation theory , contract principle or generaliezed contract principle ; For the Riemann-Hilbert boundary value problems for the first order elliptic systems , we proves the problems solvable under some assumptions by means of generalized analytic function theory , Cauchy integral formula , function theoretic approaches and fixed point theorem ; the boundary element method for the Riemann-Hilbert boundary value problems for the generalized analytic function , we obtains the boundary integral equations by means of the generalized Cauchy integral formula of the generalized analytic function , introducing Cauchy principal value integration , dispersing the boundary of the area , and we obtains the solution to the problems using the boundary conditions .

对于一阶椭圆型方程组的Riemann边值问题，是通过把它们转化为与原问题等价的奇异积分方程，利用广义解析函数理论、奇异积分方程理论、压缩原理或广义压缩原理，证明在某些假设条件下所讨论问题的解的存在性；对于一阶椭圆型方程组的Riemann-Hilbert边值问题，利用广义解析函数理论、Cauchy积分公式、函数论方法和不动点原理，证明在某些假设条件下所讨论问题的可解性；广义解析函数的Riemann-Hilbert边值问题的边界元方法是利用广义解析函数的广义Cauchy积分公式，引入Cauchy主值积分，通过对区域边界的离散化，得到边界积分方程，再利用边界条件得到问题的解。

We prove the convergence theoremof the sequence of fuzzy complex measurable functions.

作为经典复测度的推广，引进模糊复测度和模糊复可测函数等概念，讨论了其性质，证明了模糊复可测函数序列的收敛定理。

These industrial lasers have demonstrated exceedingly high reliability, supportability and maintainability.

这些工业激光器的可靠性、可支持性和可维护性已经过了充分的证明。

Furthermore, in light of the φ-mapping theory the SU (2) Chern density is expressed as δ, and the zero points of 〓 field are characterized by the φ-mapping topological numbers—the Hopf indices and the Brouwer degrees.

进一步，利用Φ-映射理论作者证明SU（2）陈密度可表达成δ的形式，并阐明Φ场零点的拓扑特征可由Φ-映射拓扑数—Hopf指标和Brouwer度所表征。

So it is concluded that Vibrio parahaemolyticus 1211U can enter the viable but nonculturable state under certain conditions.

本实验证明了副溶血弧菌1211U株在一定的条件下可进入活的非可培养状态。

The UV and IR spectroscopic studies of the monomer films showed that the photoreaction ratio of monomer (about 50%) was higher than the corresponding photosensitive polymer (about 10%, PVCi). The polarized IR spectra proved that obvious anisotropic absorption was displayed in the irradiated photosensitive film. With polarizing microscopy method, we found that these kinds of photoalignment films exhibited good alignment ability, and the stability of the photoalignment film could reach about 100℃. 2 A photosensitive self-assembled monolayer was fabricated that contained photo-cycloadditable groups, such as, coumarin and cinnamate. The reaction process were detected by contact angle method because the IR absorption of monolayer was very weak. The photosensitive self-assembled monolayer promote uniform alignment of nematic liquid crystals by LPUV, and it thermal stability could reach about 130℃. 3 A cationic bolaform amphiphiles was synthesized that had two photosensitive double bonds, and can be polymerized by ultraviolet. A layer-by-layer self-assembled deposition film was prepared in aqueous solution by using this material and poly (sodium 4-styrenesulfonate). The UV-Vis. spectra proved that the multilayers film was uniform and layer-by-layer. When LPUV irradiated the film, the photopolymerizable double bond underwent [2+2] cycloaddition, and the production of the reaction distributed along the polarized direction of incident LPUV. Polarized UV-Vis. spectra indicated that the irradiated self-assembled multiplayer film was anisotropic, and the dichromic ration is about 0.09, it is higher than the spin-coating method of photosensitive polymer or monomer. We used this anisotropic film as alignment layer of nematic liquid crystals, and obtained a uniform and stability alignment result, the static contrast ratio is about 100, which is very close to application of liquid crystal device. This thesis is an instance that the photochemical material was used in the physics region of liquid crystals, the route that was from photosensitive monomer, self-assembled monolayer film to self-assembled multiplayer film was undergone, by this logical research method photoailgnment of liquid crystal was extended and consummated.

围绕上述思路开展了如下工作：1合成了三种可进行光二聚反应的光敏小分子单体，LPUV 辐照制作了光控取向膜；用紫外-可见光谱法和红外光谱法分析了薄膜中的光化学反应，发现小分子的光反应程度可达到50%以上，至少比光敏高分子高出5倍；薄膜的偏振红外光谱证实，经过LPUV 辐照后薄膜出现了明显的各向异性；将小分子光控取向膜制成液晶器件，在偏光显微镜下观察看到均匀一致的液晶取向；并且热稳定性达到100℃左右，接近实用化要求。2制备了含肉桂酸、香豆素基团的自组装单层膜；采用接触角的方法监测自组装反应的动力学过程；紫外-可见光谱证实了自组装单层膜在石英基板表面形成；自组装单层膜经LPUV 辐照后能诱导液晶均匀取向，而且热稳定性可达130℃，热稳定性进一步提高。3合成了含有光敏双键的双季铵盐，在水溶液状态下将它和聚乙烯基苯磺酸钠沉积生成layer-by-layer 自组装多层膜，紫外-可见光谱证实这是一个逐层均匀的沉积；在LPUV 照射下，自组装膜中的光敏双键按照偏振方向发生[2+2]环加成反应，形成取向膜，用二向色性值评价的分子取向度高于高分子及小分子光控取向膜的水平；实验证明用自组装多层膜制成的液晶器件亮暗态均匀，静态对比度约为100，达到实用化器件的水平。

Experiment proves that characteristics of the self-produced peelable coating, such as perfect acid-resistance and alkaline resistance, proper peel strength, transparent uniform film , approach that of American products basically.

试验证明：自制可剥性涂料耐酸碱性好、剥离强度大小适中、涂膜均匀透明，基本达到美国同类可剥性涂料的性能，但还存在着浸蚀比范围较宽的问题。

It is proved that, compared with existing tools, AOP based software architecture dynamic visualization framework provides the function of architecture dynamic visualization for software in a loose-coupled way.

实践证明，相比目前的工具，基于AOP的软件架构动态可视化框架能够以一种松耦合的形式来方便的为软件提供架构动态可视化的功能；而且，从时间、空间和功能三个维度对架构动态信息的可视化满足了不同用户的需求，能够更好的帮助人们去理解和开发复杂的软件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。