存在的性质

In this paper we mainly utilize super and sub solution techniques, use comparision principle and construct appropriate supersolution and subsolution by eigenfunctions to discuss two kinds of nonlocal nolinear parabolic systems with homogeneous Dirichlet boundary condition.

两类非线性抛物方程解的整体存在与爆破性质本文主要利用上下解方法，运用比较原理，通过特征函数等构造适当的上下解讨论了两类抛物型方程组解的整体存在与爆破。

Chapter 2 discuss firstly the local existence of solutions for a class of abstract functionalintegro-differential equations with unbounded delay by Schauder's fixed point theorem, then byintroducing an inequality condition and applying the continuity property of solutions it obtainsthe global existence of the solutions.

第二章先利用Schauder不动点定理讨论一类具有无限时滞抽象泛函积分微分方程解的局部存在性，然后引入一不等式条件并利用解的延拓性质获得了解的整体存在性

Thirdly, proper probabilistic model is built for the bilateral stop-and-go generator and the probability properties of its output sequence are studied. It is proved that the output sequence obey strong law of large numbers and central limit theorem and that, however, the distributions of 0 and 1 in the output sequence are imbalanced, which implies that this generator cannot be used as keystream generator directly. The rate of coincidence between the output sequence and corresponding LFSR sequences, together with their first derivatives are obtained, which reveal the existence of correlation between these sequences.

最后，建立了双侧停走生成器的概率模型，研究了双侧停走生成器输出序列的概率分布性质和大数性质，证明了生成器输出序列服从强大数定律和中心极限定理，得到了生成器输出序列中0，1分布是不平衡的结论，由此指出不能将这种生成器直接作为密钥流生成器；给出了双侧停走生成器输出序列和相应的线性移位寄存器序列之间的符合率以及一阶差分序列之间的符合率，得到了符合率的表达式，揭示了这些序列的对应比特和对应序列段之间存在相关性。

Our results improve the former results. For periodic Jacobi matrix, some new spectral properties of periodic Jacobi matrix are given by studying the relationship of the eigenvalues of periodic Jacobi matrix and its n—1 principal submatrix. Applying these spectral properties, we present a necessary and sufficient condition for the solvability of an inverse problem of periodic Jacobi matrices and discuss the number and the relationship of its solutions. Furthermore, we propose a new algorithm to construct its solution and compare it with the former algorithms. As this inverse problem of periodic Jacobi matrix usually has multiple solutions as many other eigenvalue inverse problems, we study the uniqueness of this problem. And a necessary and sufficient condition is given to ensure its uniqueness, under which an algorithm is presented and the stability analysis is also given. Finally, we put forward a new inverse problem for periodic Jacobi matrix which has not been solved.

对周期Jacobi矩阵特征值反问题，通过研究周期Jacobi矩阵与其n-1阶主子阵特征值的关系，给出了周期Jacobi矩阵的一些新的谱性质；利用这些谱性质，研究了一类周期Jacobi矩阵特征值反问题，用新的方法推导出了该类特征值反问题有解的充分必要条件，并讨论了解的个数以及解与解之间的关系；此外，提出了一种新的构造周期Jacobi矩阵反问题解的数值算法，并与前人的算法做了一定比较；由于周期Jacobi矩阵特征值反问题和其他很多特征值反问题一样往往存在多个解，本论文给出了周期Jacobi矩阵反问题解唯一的充要条件，并发现周期Jacobi矩阵特征值反问题的解唯一当且仅当构造的矩阵满足一定的条件；在解唯一的情况下，给出了构造唯一解的数值算法，并做了相应的稳定性分析；最后，提出了一类新的有待于解决的周期Jacobi矩阵特征值反问题。

Based on the method of Filippov, we discuss the existence and geometrical properties of different types of equilibria.

利用Filippov方法，研究了系统中各种平衡点的存在性和几何性质，讨论了系统中多种闭轨的存在性，尤其是滑模闭轨和滑模同宿轨。

The results indicate that the different thermal expansions and elastoplastic properties and distributed randomness of various mineral particles composed of oil shale will lead to the nonuniformity of thermal field , deformation field and stress field in heating process , which makes the particles of oil shale deform incompatibly : and the release of product pyrolysis results in irreversible damages of oil shale material and structure . These are the main reasons for the thermal fracture of oil shale .

研究结果表明：组成油页岩各种矿物颗粒热膨胀和弹塑性性质的不同及其分布的随机性，导致油页岩加热过程中温度场，变形场和应力场的非均匀性，使得油页岩颗粒间变形不协调和油页岩热解产物释放引起油页岩材料与结构性能发生不可逆的劣化损伤，这是油页岩发生热破裂的主要原因；热传导方式加热油页岩，温度的传递比较缓慢，加热井和生产井的间距不宜过大，对油页岩储层性质存在差异时，注热井应选择较高热导率的区段；油页岩的层理对油页岩地下原位开发形成渗透带至关重要，油页岩达到热解温度会产生附加的膨胀力，首先在层理处开裂，应充分利用油页岩层理赋存条件改造其渗透性。

The results indicate that the different thermal expansions and elastoplastic properties and distributed randomness of various mineral particles composed of oil shale will lead to the nonuniformity of thermal field, deformation field and stress field in heating process, which makes the particles of oil shale deform incompatibly: and the release of product pyrolysis results in irreversible damages of oil shale material and structure. These are the main reasons for the thermal fracture of oil shale. When oil shale is heated through thermal conduction, temperature transfers slowly, so the spacing between heating well and production well should not be kept too long. When difference exists in oil shale reservoir's properties, heating well should be chosen in the high conductivity region. Oil shale's stratification is vital for developing permeation zone in in-situ retorting. Oil shale will generate additional expansion force as it reaches its pyrolysis temperature, and stratification will be cracked first, so the oil shale stratification should be utilized to enhance its permeability.

研究结果表明：组成油页岩各种矿物颗粒热膨胀和弹塑性性质的不同及其分布的随机性，导致油页岩加热过程中温度场、变形场和应力场的非均匀性，使得油页岩颗粒间变形不协调和油页岩热解产物释放引起油页岩材料与结构性能发生不可逆的劣化损伤，这是油页岩发生热破裂的主要原因；热传导方式加热油页岩，温度的传递比较缓慢，加热井和生产井的间距不宜过大，对油页岩储层性质存在差异时，注热井应选择较高热导率的区段；油页岩的层理对油页岩地下原位开发形成渗透带至关重要，油页岩达到热解温度会产生附加的膨胀力，首先在层理处开裂，应充分利用油页岩层理赋存条件改造其渗透性。

In the first part, the prototropic hydroxy-oxo tautomerisms of 2 (1H)- pyridones/2-hydorxypyridines, one of the most important model systems in molecular biology, have been investigated with self-consistent reaction field method based on continuum model. The influence of the nature and position of substituent groups, the existence of intramolecular hydrogen bonding and tautomeric competition between 2-hydroxy and 4-hydroxy on the tautomeric equilibria have also been examined.

第一部分，首先从溶剂敏感的异构化性质入手，用基于连续介质的自洽反应场理论方法对一类重要的生化模型体系—2（1H）-吡啶酮／2-羟基吡啶互变异构体系进行了研究，系统地考察了取代基性质、取代基位置、分子内氢键的形成以及互变异构竞争的存在对异构化平衡的影响。

Influence of deposing condition on the grain size, crystal structure and surface properties of nano-TiO_2 was investigated; the existing position and action of TiO_2 in oil/water system was also studied. Results of photographs show that nano-TiO_2 can enter the oil/water interface and well dispersed, a solid film is formed and well stability.

3采用溶胶-凝胶法及掺杂调制技术制备了纳米TiO_2光催化剂，考察不同的热处理条件对二氧化钛(TiO_2)纳米粒子的晶粒尺寸、晶体结构、表面性质的影响，并研究了纳米TiO_2在油／水体系中的形态与存在形式，显微图像观察结果表明，TiO_2纳米粉可以进入油／水界面，在油／水体系中具有较好的分散性能和界面性质，形成一层固体膜，并且具有很强的稳定性。

It refers to man's "essential nature," the God-created law of man's true being, standing in contradiction to man's sinful, existential nature.

它指的是人的&基本性质&上帝产生的法律的人的真正的，站在矛盾的人的罪恶，存在性质。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。