奇值

Finaly, in the case of the nonlinearities being singular at 0, by utilizing the mountain-pass theorem and some other variational methods, we get the existence of nontrivial solutions of the equations under the Dirichlet boundary condition, where the operator diva(x,u is the p-Laplacian.

最后，我们通过应用山路引理等变分方法，研究当算子diva(x，▽u为p-Laplacian并且非线性项在原点有奇异性时，方程在Dirichlet边值条件下非平凡解的存在性。

We research the singularity of linear boundary value problem by making use of localizabledistinguishing feature of wavelet.

我们利用小波具有良好的局部化特点来研究线性边值问题的奇异性，提出了改进的小波配点法。

In this paper ,these two methods are employed to consider three kinds of singular perturbation boundary value problems .

本文主要运用这两种方法考虑三种类型的微分方程奇摄动边值问题。

In chapter 3, we study the existence of solutions to the higher order singular multi-point boundary value prblem.

三在第三章中，我们研究了高阶奇性方程的多点边值问题的解的存在性。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and Riemann boundary problem, analytic relations between the complex potentials were obtained.

研究压电材料在均匀热流作用下螺型位错与圆弧裂纹的相互作用，综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function,the analytical extending method,Cauchy model integral,the analysis of the singularity of complex functions and Riemann boundary problem,analytic relations between the complex potentials were obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解方法，获得各复势函数之间的解析关系，进一步得到了特殊情况下所讨论问题的封闭解，并求解出像力随温度梯度和位错位置变化的表达式。

By combining the theory of sectionally holomorphic function, the analytical extending method, Cauchy model integral, the analysis of the singularity of complex functions and the method for Riemann boundary problem, analytic relations between the complex potentials are obtained.

综合运用复变函数分区全纯理论、解析函数奇性主部分析方法、解析延拓原理、Cauchy型积分以及Riemann边值问题求解力法，导出各复势函数之间的解析关系，进一步得到特殊情况下所讨论问题的封闭解，并解出像力随温度梯度和位错位置变化的表达式。

The reservoir rock types in the region of interest are grain limestone, algal limestone, cryptite, siltstone, muddy limestone and mudstone. The thesis identified as a result of changes in the deposition causing the heterogeneity in plane, and then the geological oil reserves have been calculated in accordance with the areal heterogeneity.3、Based on the data of core analysis, bore logging, array induction imaging log and FMI, porosity and permeability model were built using regression analysis. Through testing 45 rock samples, a, b, m, n value were obtained and used to calculate single-layer oil saturation value using the Archie formula. According to the theory of laterolog and inductolog, resistivity ratio and cross plot were used to identification effective thickness. Effective thickness was identified delicately in 103 wells. Based on the over work, active porosity and oil saturation was calculated accurately.4、According to observation of 100 pieces of the thin slices, cast thin slices and 383m core in three wells, the chief diagenesis in this area were compaction, cementation, denudation and cataclasis. Cementation and denudation were universally influenced active porosity this area. The intergranular pores, residual pores and secondary pores were formed in thin carbonated reservoir of lacustrine facies.5、The influence of reservoir heterogeneity to reservoir calculation was analyzed systematically using actual data. And the conclusions were as follows:①The principal reason leading to oil distribution unequal is interior structural feature of reservoir in structural hydrocarbon reservoir.

确定了由于沉积微相的变化而导致的平面非均质性，进而在平面上按照平面非均质单元计算了石油地质储量。3、利用岩心分析、常规测井曲线与阵列感应、成像测井资料相结合，分岩性利用回归分析方法建立了储层孔隙度、渗透率模型；通过对45块岩样进行岩电试验，获取了a、b、m、n值，利用阿尔奇公式计算了各单层含油饱和度值；根据侧向电阻率和感应电阻率串并联特性，利用电阻率比值法与常规交会图法相结合重建了有效厚度图版，对全区103口井目的层段进行了有效厚度精细划分，通过以上工作，准确求取了储量计算单元内有效厚度参数、有效孔隙度参数以及含油饱和度参数。4、通过对研究区3口井383m岩心观察，100余块薄片、铸体薄片镜下鉴定得出：油泉子油田上、下油砂山组储层主要成岩作用是压实作用、胶结作用、溶蚀作用和破裂作用，其中溶蚀作用、胶结作用最普遍，这两种作用对有效孔隙度影响最大，以上成岩作用形成了原生粒间孔、粒间残余孔和次生孔隙(如粒间溶孔、粒内溶孔、铸模孔、晶间孔等)为主的薄层湖相碳酸盐岩储层。5、利用实际资料，系统分析了油藏非均质对储量计算的影响，认为：①对于构造油气藏而言，油气藏构造及断裂特征是造成油气分布不均的首要原因，储集条件相同的条件下，构造高部位有利于储存油气，油气在垂向的重力分异体现了油气藏内部构造的不均一特征。

We give all of these properties by means of theorems, and also give detail proofs. In the most important theorem, we give the relation between singularity and jumps and sharp cusps neighborhood. and the threshold detection of jumps and sharp cusps, and the relation between threshold and scales, where we partly resolve an open problem put forward by some researcher.

在最关键的定理中，给出了奇异性与突变点和尖点的领域的关系，以及突变点和尖点的阀值检测法，以及阀值和尺度的关系，这部分的解决了以前研究者提出的一个公开问题，同时研究了逼近程度和逼近理论，这在已有的基础上又向前进了一步。

Pb isotope values of Chukchi Sea and the Bering Sea are within the scope of northern Pacific"s, and closing to lead isotope average of Lena River"s in eastern Siberia flowing into the Laptev Sea,and north Pacific especially impact on the Bering Sea.(6)Lower ?

楚科奇海和白令海铅同位素值在太平洋北部铅同位素值变化范围之内，并且与流入北极拉普捷夫海的西伯利亚东部勒拿河铅同位素平均值接近，太平洋北部尤以对白令海的影响更为明显。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新