非正规边值条件下的二阶非自伴边值问题

(一)常型的二阶边值问题(E)y″ q(x)y=-λy U_1y=a_(11)y(0) a_(12)y′(0) a_(13)y(1) a_(14)y′(1)=0 U_2y=a_(21)y(0) a_(22)y′(0) a_(23)y(1) a_(24)y′(1)=0 q(x)∈c[0,1]常分为自伴与非自伴二类,在自伴情形(即当 q(x)为实值函数且 U_1y、U_2y 为自伴边值条件时),系一古典问题,此时(E)恒有可数个实的单重特征值,且其特征展开式的收敛性质与它的富氏展开式是同等的。至于(E)在非自伴情形(即当 q(x)是复值函数,U_1y、U_2y 系一般边值条件时),其特征值分布状况及其特征展开式的性质,亦已有所讨论(关于更高阶的一     

一类三阶线性偏微分方程奇性定解问题的显式解

本文研究了下列三阶Fuchs型方程: U_(xyz)+a/(x+y+z)U_(yz)+a/(x+y+z)U_(2x)+c/(x+y+z)U_(xy)+d/(x+y+z)~2U_x +e/(x+y+z)~2-U_y+f(x+y+z)~2U_z+g/(x+y+z)~3U=0 (1)(其中a,b,c……,g均为常数) 的奇柯西问题、奇第三问题及奇第四问题。当方程(1)的系数满足一定关系时,证明这些问题是适定的,并给出了解的表达式。当(1)的系数不满足上述关系时,我们对一个较简单的方程(33),通过Riemann公式建立了其柯西问题解的表达式。     

用投影迭代法实现匀速直线运动模糊图像的复原

1 投影迭代公式在线性空不变条件下的简化图像复原的算法很多,本文采用Huang提出的投影迭代复原算法,它适用于线性模糊图像的复原.对线性成像系统,模糊图像g(x, y)与对应的原始图像f(x,y)的离散数字化关系为g=Df,其中g,f分别是g(x,y),f(x,y)的向量表示,D是由系统点扩展函数决定的转换矩阵,则复原迭代公式为     

一类二阶迭代泛函微分方程在共振点附近的解析解的存在性

本文在复域C内研究了二阶迭代微分方程x″(x［r］(z))=(x［m］(z))2,r,m≥2;r,m∈〖WTHZ〗N〖WTBZ〗解析解的存在性. 通过Schrder变换,即x(z)=y(α-1(z)),作者把这类方程转化为一种不含未知函数迭代的泛函微分方程α2y″(αr+1z)y′(αr z)=αy′(αr+1z)y″(αrz)+(y′(αrz))3(y(αm z))2,并给出它的局部可逆解析解.本文不仅讨论了双曲型情形|α|>1,0<|α|<1和共振的情形(α是一个单位根),而且还在Brjuno条     

混合型样条有限元法解板壳的几何非线性问题

本文从Hellinger-Reissner变分原理出发,以挠度函数W(x,y),应力函数F(x,y)为未知变量,用样条插值建立了求解板、壳的几何非线性问题的代数方程组.文中还提出了将二维非线性耦合矩阵分解成一个二维系数矩阵与迭代变量的乘积的方法,较适宜于用Newtow-Raphson方法迭代求解.     

关于一类E_3的极限环

对于平面定常方程组其中P(x,y)、Q(x,y)为次数不高于a的实系数多项式.考虑(E_3)的极限环的问题,如所周知,引起了广泛的关注,这不仅因为它是所谓著名的Hilbert第十六问题,而且还在于尔后极限环问题和诸如无线电技术、机械振动等问题密切地联系了起来[1,2]。关于E_2,文献较     

一类型极值问题的极值曲线及应用

关于绝对极小的问题,在平面的情形Tonelli曾给出它的存在定理如下:如果泛函数满足条件:1)对所有的(x,y)∈A(闭)和任意的y‘均有2)对任意的有界闭集A‘(?)A存在有常数L>1,P>1,使得当(x,y)∈A‘和|y‘|>L时有     

一类完全三阶边值问题的单调迭代求解

讨论完全三阶边值问题■解的存在性,其中f:[0,1]×R~3→R连续.通过建立极大值原理,在非线性项f(t,x,y,z)关于x,y,z满足单调性条件的情形下,运用上下解的单调迭代方法,获得了解的存在性结果.     

双曲型方程的一类反问题

本文讨论了确定双曲型方程U_(tt)(x,t)-U_(xx)(x,t)+q(x)(U_t(x,t)+U(x,t))=F_(x,t)中未知系数q(x)的反问题,证明了此类方程柯西问题古典解的存在唯一性,得到了等价于反问题的含未知函数q(x),u(x,t)、U_t(x,t)、U_(tt)(x,t)的非线性积分方程组,证明了其局部解的存在唯一性,从而得到了反问题解的存在唯一性。     

关于具有激发項的二阶微分方程的周期解的存在性

1.引言考虑微分方程(1)■ +f(x,■)■+g(x)=e(t),一或与它等价的方程组(2) ■=y,■=-f(x,y)y-g(x)+e(t).其中函数f(x,y)与g(x)关于其自变量处处连续,e(t)是周期为T的连续函数,并且它们还满足某种足以保证(2)之解为初值唯一确定的条件. 本文的目的在于建立方程(1)的周期解的存在性的充分条件.本文的结果完全包括了N.Levinson在1943年所发表的关于方程(1)的周期解的存在性的结果,就方程(1)而言,本文也包括了Reuter在1952年所获得的结果. 2.关于(2)的周期解的存在性的一些结果以及其证明定理1.若方程组(2)适合下列条件:     

Markedness and its Interpretation in Language Use

Language markedness is a common phenomenon in languages, and is reflected from hearing, vision and sense, i.e. the variation in the three aspects such as phonology, morphology and semantics. This paper focuses on the interpretation of markedness in language use following the three perspectives, i.e. pragmatic interpretation, psychological interpretation and cognitive interpretation, with an aim to define the function of markedness.     

Lower Paleozoic oil relationships within Williston Basin, Canada

The Williston Basin is a significant petroleum province, containing oil production zones that include the Middle Cambrian to Lower Ordovician, Upper Ordovician, Middle Devonian, Upper Devonian and Mississippian and within the Jurassic and Cretaceous. The oils of the Williston Basin exhibit a wide range of geochemical characteristics defined as "oil families", although the geochemical signature of the Cambrian Deadwood Formation and Lower Ordovician Winnipeg reservoired oils does not match any "oil family". Despite their close stratigraphic proximity, it is evident that the oils of the Lower Palaeozoic within the Williston Basin are distinct. This suggests the presence of a new "oil family" within the Williston Basin. Diagnostic geochemical signatures occur in the gasoline range chromatograms, within saturate fraction gas chromatograms and biomarker fingerprints. However, some of the established criteria and cross-plots that are currently used to segregate oils into distinct genetic families within the basin do not always meet with success, particularly when applied to the Lower Palaeozoic oils of the Deadwood and Winnipeg Formation.     

An Analysis of Catherine＇s Character——Wuthering Heights

Wuthering Heights, Emily Bronte＇s only novel, was published in December of 1847 under the pseudonym Ellis Bell. The book did not gain immediate success, but it is now thought one of the finest novels in the English language. Catherine is the key character of this masterpiece, because everybody and everything center on her though she had a short life. We can understand this masterpiece better if we know Catherine well.     

Characterization of Ordovician carbonate reservoirs, southeastern Saskatchewan, Canada

The discovery of the prolific Ordovician Red River reservoirs in 1995 in southeastern Saskatchewan was the catalyst for extensive exploration activity which resulted in the discovery of more than 15 new Red River pools. The best yields of Red River production to date have been from dolomite reservoirs. Understanding the processes of dolomitization is, therefore, crucial for the prediction of the connectivity, spatial distribution and heterogeneity of dolomite reservoirs.The Red River reservoirs in the Midale area consist of 3～4 thin dolomitized zones, with a total thickness of about 20 m, which occur at the top of the Yeoman Formation. Two types of replacement dolomite were recognized in the Red River reservoir: dolomitized burrow infills and dolomitized host matrix. The spatial distribution of dolomite suggests that burrowing organisms played an important role in facilitating the fluid flow in the backfilled sediments. This resulted in penecontemporaneous dolomitization of burrow infills by normal seawater. The dolomite in the host matrix is interpreted as having occurred at shallow burial by evaporitic seawater during precipitation of Lake Almar anhydrite that immediately overlies the Yeoman Formation. However, the low δ18O values of dolomited burrow infills (-5.9‰～ -7.8‰, PDB) and matrix dolomites (-6.6‰～ -8.1‰, avg. -7.4‰ PDB) compared to the estimated values for the late Ordovician marine dolomite could be attributed to modification and alteration of dolomite at higher temperatures during deeper burial, which could also be responsible for its 87Sr/86Sr ratios (0.7084～0.7088) that are higher than suggested for the late Ordovician seawaters (0.7078～0.7080). The trace amounts of saddle dolomite cement in the Red River carbonates are probably related to "cannibalization" of earlier replacement dolomite during the chemical compaction.     

Design and analysis of generic LBS application developing platform

Location based services is promising due to its novel working style and contents.A software platform is proposed to provide application programs of typical location based services and support new applications developing efficiently. The analysis shows that this scheme is easy implemented, low cost and adapt to all kinds of mobile nework system.     

橡胶颗粒沥青混合料低温抗裂性试验研究

以AC-13级配为基础,将橡胶颗粒代替部分集料掺入混合料中,以低温弯曲试验为评价方法对不同橡胶颗粒掺量下沥青混合料的低温抗裂性进行研究,并引入应变能密度值对混合料的低温抗裂性进行综合评价.试验结果表明:橡胶颗粒沥青混合料试件的破坏微应变均超过2 300,满足冬寒区的技术指标;无论是否掺加橡胶颗粒,随着温度的下降,沥青混合料破坏时的最大弯拉强度增大,弯拉应变降低,劲度模量增大;弯曲应变能密度在胶粒掺量为1%左右时具有较大的弯曲应变能密度值,此时橡胶颗粒沥青混合料具有较好的低温抗裂性.     

低渗透非均质砂岩油藏启动压力梯度研究

理论推导与室内实验相结合,建立了低渗透非均质砂岩油藏启动压力梯度确定方法。首先借助油藏流场与电场相似的原理,推导了非均质砂岩油藏启动压力梯度计算公式。其次基于稳定流实验方法,建立了非均质砂岩油藏启动压力梯度测试方法。结果表明:低渗透非均质砂岩油藏的启动压力梯度确定遵循两个等效原则。平面非均质油藏的启动压力梯度等于各级渗透率段的启动压力梯度关于长度的加权平均;纵向非均质油藏的启动压力梯度等于各渗透率层的启动压力梯度关于渗透率与渗流面积乘积的加权平均。研究成果可用于有效指导低渗透非均质砂岩油藏的合理井距确定,促进该类油藏的高效开发。     

Quantitative trait loci （QTLs） for quality traits related to protein and starch in wheat

Quality traits in wheat （Triticum aestirum L.） were studied by quantitative trait locus （QTL） analysis in a recombinant inbred line （RIL） population, a set of 131 lines derived from Chuan 35050 × Shannong 483 cross （ChSh）. Grains from RILs were assayed for 21 quality traits related to protein and starch. A total of 35 putative QTLs for 19 traits with a single QTL explaining 7.99-40.52% of phenotypic variations were detected on 10 chromosomes, 1D, 2A, 2D, 3B, 3D, 5A, 6A, 6B, 6D, and 7B. The additive effects of 30 QTLs were positive, contributed by Chuan 35050, the remaining 5 QTLs were negative with the additive effect contributed by Shannong 483. For protein traits, 15 QTLs were obtained and most of them were located on chromosomes 1 D, 3B and 6D, while 20 QTLs for starch traits were detected and most of them were located on chromosomes 3D, 6B and 7B. Only 7 QTLs for protein and starch traits were co-located in three regions on chromosomes 1D, 2A and 2D. These protein and starch trait QTLs showed a distinct distribution pattern in certain regions and chromosomes. Twenty-two QTLs were clustered in 6 regions of 5 chromosomes. Two QTL clusters for protein traits were located on chromosomes 1D and 3B, respectively, three clusters for starch traits on chromosomes 3D, 6B and 7B, and one cluster including protein and starch traits on chromosome 1D.     

On Tragic Consciousness In The Works By Ernest Hemingway

As an American modern novelist who were famous in the literary world, Hemingway was not a person who always followed the trend but a sharp observer. At the same time, he was a tragedy maestro, he paid great attention on existence, fate and end-result. The dramatis personae's tragedy of his works was an extreme limit by all means tragedy on the meaning of fearless challenge that failed. The beauty of tragedy was not produced on the destruction of life, but now this kind of value was in the impact activity. They performed for the reader about the tragedy on challenging for the limit and the death.     

The Analects and the Moment in Peking——The influence of a Confucian education system on the personality formation,the way of thinking and the fate of the main characters

0.Preface China has long been boasting of its colorful and immense culture which comprises of Taoism,Confucianism and Buddhism.The interwoven influence among the religions on Chinese way of thinking,on the nation＇s behavior in their social life throughout the long history is beyond list.