On solvability of differential equations with the Riesz fractional derivative

We consider the solvability of fractional differential equations involving the Riesz fractional derivative. Our approach basically relies on the reduction of the problem considered to the equivalent nonlinear mixed Volterra and Cauchy-type singular integral equation and on the theory of fractional calculus. By establishing a compactness property of the Riemann–Liouville fractional integral operator on Lebesgue spaces and using the well-known Krasnoselskii's fixed point theorem, an existence of at least one solution is gleaned. An example is finally included to show the applicability of the theory.     

关于B-凸空间及其上黎斯算子West分解

给出 Ｂａｎａｃｈ空间列｛Ｘｉ｝ｉ＝１∞的 ｌｐ乘积Ｂ－凸的特征刻划, 证明Ｂ－凸空间上的每个黎斯算子可Ｗｅｓｔ分解,即分解成一个紧算子和一个拟幂 零算子的和．     

A generalized Dantzig—Wolfe decomposition principle for a class of nonconvex programming problems

Since Dantzig—Wolfe's pioneering contribution, the decomposition approach using a pricing mechanism has been developed for a wide class of mathematical programs. For convex programs a linear space of Lagrangean multipliers is enough to define price functions. For general mathematical programs the price functions could be defined by using a subclass of nondecreasing functions. However the space of nondecreasing functions is no longer finite dimensional. In this paper we consider a specific nonconvex optimization problem min {f(x):h _j (x)g(x),j=1, ,m, xX}, wheref(·),h _j (·) andg(·) are finite convex functions andX is a closed convex set. We generalize optimal price functions for this problem in such a way that the parameters of generalized price functions are defined in a finite dimensional space. Combining convex duality and a nonconvex duality we can develop a decomposition method to find a globally optimal solution.This paper is dedicated to Phil Wolfe on the occasion of his 65th birthday.     

The Adsorption and Thermal Decomposition of CH2CO (CD2CO) on Si(111)-7 × 7

The adsorption and thermal decomposition of ketene on Si(l 11)-7 × 7 were investigated using various surface analysis techniques. When the surface was exposed to ketene at 120 K, two CO stretching modes at 220 and 273 meV appeared in HREELS, corresponding to two adsorbed ketene states. After the sample was annealed at ?250 K, the 273 and the 80 meV peaks vanished, indicating the disappearance of one of the adsorption states by partial desorption of the adsorbate. In a corresponding TPD measurement, a desorption peak for ketene species was noted at 220 K. Annealing the sample at 450 K caused the decomposition of the adsorbate, producing CH_x and O adspecies. Further annealing of the surface at higher temperatures resulted in the breaking of the CH bond, the desorption of H and O species and the formation of Si carbide. The desorption of H at 800 K was confirmed by the appearance of the D₂ (m/e = 4) TPD peak at that temperature when CD₂CO was used instead of CH₂CO.     

合成高分子膜透气速率的温度依赖性

近年来以气体选择性分离为目的的合成高分子膜的研究取得了巨大的进步。气体分离膜的两个基本性能参数是透气速率J及选择系数α。同一个膜,在较高温度使用时,往往是J值增大,α值下降,因此选择适当地操作温度,以便得到最佳的J-α搭配是很重要的。本文讨论了甲基硅橡胶(MSR)、天然橡胶(NR)、乙丙橡胶(EPR)、聚乙烯(PE)、聚(4-甲基戊烯-1)(TPX)等材料的均质膜或复合膜,在不同温度下的氧、氮透过速率,计算了各种膜材料的氧、氮表观透过活化能,并对其本质进行了探讨。     

Crystal Structure,Electrochemical Properties and Third-order Nonlinear Optical Response of 4-Methyloxy benzaldehyde Thiosemicarbazone and Its Copper(Ⅱ)Complex

Thecurrentsurgeofinterestinthefield0fnon-linearoptics(NL0)isderivedbothfromaquestforafundamentalunderstanding0fthenon-linearprocess,anditSimPortanceinthetechn0logyofphotonics.Amongnon-linearphen0mena,thethird-ordernon-linearophcsoccuPyanimPortantp0sihonbecauseitprovidesthemechanicsforophcalswitching,ophcallogic,andreal-hmeholograPhy"'.0rganicmaterialwithextendednconjugahonsandlargeRdelocalizahonsarewellknownastheimPortantmaterialsofachievinglargethird-ordernonlinearihes3.ForexamPle,thiosen…     

CF3CO和CF3C（O）O自由基分解反应理论研究

利用文献结果，用统计热力学和过渡态理论计算了ＣＦ３ＣＯ和ＣＦ３Ｃ（Ｏ）Ｏ自由基分解反应的热力学和动力学数据。计算结果表明，计算值与最新实验数据甚相符合，并据此判断，ＣＦ３ＣＯ和ＣＦ３Ｃ（Ｏ）Ｏ均很不稳定，不可能参加Ｏ３分解的循环催化反应。     

微量稀土对超导稳定化基体铜材的性能和组织的影响

研究了微量稀土元素对铜的机械性能、导电性和组织的影响，在铜中加入微量钇、钕、镝、铒和富铈混合稀土后，使铜的抗拉强度有所提高，并保持良好的塑性和导电性。     

Preparation of nanometer FeCuP alloy and its application in decomposition of PH3

A new ternary Fe-based alloy catalyst FeCuP applied to decompose PH_3 was prepared with low-cost material by chemical reduction deposition method.The properties of it were characterized by XRD,ICP and SEM.Its catalytic activity on the decomposition of PH_3 and the decomposition conditions were studied.FeCuP alloy exhibits high thermal stabilities and high catalytic activity.Using it as catalyst,the decomposition temperature of phosphine decreases from over 800℃to 400-500℃.The decomposition rate of phosphine achieved 100%.     

氟化钾负载改性法制备碱性NaY沸石

氟化钾（ＫＦ）可以高度分散于八面沸石表面，通过与ＮａＹ沸石表面发生相互作用产生ＫＯＨ类碱物种，使ＫＦ／ＮａＹ具有类似于ＫＯＨ／ＮａＹ的碱性，在异丙醇探针反应的碱性催化活性也与ＫＯＨ／ＮａＹ相似，由于沸石中的Ｓｉ组分容易与ＫＯＨ生成强度低的碱性化合物，妨碍ＫＦ或ＫＯＨ负载过程中强碱位的生成，因此ＫＦ／ＮａＹ的碱强度介于ＫＦ／ＳｉＯ２和ＫＦ／γ－Ａｌ２Ｏ３之间。