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501.
In this article, we prove the existence and uniqueness of the square-mean pseudo almost automorphic mild solutions for a class of stochastic evolution equations driven by G-Brownian motion (G-SSEs). Our results are established by means of the fixed point theorem. An example is given to illustrate the theory.  相似文献   
502.
本文利用算子半群理论和Banach不动点定理研究了一类具非局部条件的抽象泛函微分方程权伪概周期解的存在唯一性,所得结论拓展了已有结果.  相似文献   
503.
根据凝析气在多孔介质中渗流的相态变化特征,建立了凝析油-气不稳定渗流的基本微分方程,同时引入了凝析油-气两相拟压力函数对渗流方程进行了线性化处理;针对形成不同流体区域的凝折气藏、有边水的凝析气藏、岩性尖灭凝析气藏及井底存在污染和改善等多种情况,针对存在过渡区的复合凝析气藏建立了凝折油-气渗流新模型,模型更适合凝析气藏实际情况,并求出了凝析气藏油-气拟压力分布的拉氏空间解析解,确立了对凝析气井进行压力恢复试井的具体解释方法,从而为指导气田的合理开发提供可靠的依据.  相似文献   
504.
关于Smarandache函数的两个方程   总被引:1,自引:0,他引:1  
对于著名的伪Smarandache函数Z(n),Smarandache互反函数Sc(n),以及伪Smarandache对偶函数Z^*(n),利用初等方法,借助同余方程理论,研究了包含函数Z(n),Sc(n)以及Z^*(n)的两个方程解的问题,并给出了一些有趣的结果.  相似文献   
505.
    
In this paper, we introduce and investigate the functions of (μ,ν)‐pseudo S‐asymptotically ω‐periodic of class r(class infinity). We systematically explore the properties of these functions in Banach space including composition theorems. As applications, we establish some sufficient criteria for (μ,ν)‐pseudo S‐asymptotic ω‐periodicity of (nonautonomous) semilinear integro‐differential equations with finite or infinite delay. Finally, some interesting examples are presented to illustrate the main findings.  相似文献   
506.
    
《Mathematische Nachrichten》2017,290(16):2512-2523
In this article, we study submanifolds in a pseudo‐sphere with 2‐type pseudo‐spherical Gauss map. We give a characterization theorem for Lorentzian surfaces in the pseudo‐sphere with zero mean curvature vector in and 2‐type pseudo‐spherical Gauss map. We also prove that non‐totally umbilical proper pseudo‐Riemannian hypersurfaces in a pseudo‐sphere with non‐zero constant mean curvature has 2‐type pseudo‐spherical Gauss map if and only if it has constant scalar curvature. Then, for we obtain the classification of surfaces in with 2‐type pseudo‐spherical Gauss map. Finally, we give an example of surface with null 2‐type pseudo‐spherical Gauss map which does not appear in Riemannian case, and we give a characterization theorem for Lorentzian surfaces in with null 2‐type pseudo‐spherical Gauss map.  相似文献   
507.
    
Notoginsenoside Fc, which is a protopanaxdiol‐type saponin isolated from the leaves of Panax notoginseng, exhibits an exceptional antiplatelet aggregatory effect. To study the modulating effect of gastrointestinal contents on the metabolic profile and pharmacokinetics, pseudo germ‐free rats were used to study the influence of the bacterial community structure on the metabolic profile. Glycosidase activities were measured using the spectrophotometric method. Biotransformations of notoginsenoside Fc in normal and pseudo germ‐free rat intestinal microflora were systematically investigated using ultra high performance liquid chromatography with tandem quadrupole/time‐of‐flight mass spectrometry. Moreover, a liquid chromatography with tandem mass spectrometry method was established for simultaneous determination of the notoginsenoside Fc prototype and its degradation products. Through an in vivo pharmacokinetic study, the pharmacokinetic characteristics were compared between normal rats and pseudo germ‐free rats. During the in vitro biotransformation, seven deglycosylated products were detected and identified after incubation in the intestinal bacteria of normal rats. In pseudo germ‐free rats, glycosidase activities were significantly decreased, and no obvious degradation occurred. In an in vivo study, the systemic exposure was significantly increased 40%, as evidenced by the area under the blood concentration–time curve from time zero to infinity value and half‐life value, which were prolonged more in the pseudo germ‐free group than in normal rats. The results demonstrate that patients who use intestinal bacteria‐metabolized herbs, such as panax notoginseng, should understand the profile of intestinal bacteria to ensure therapeutic efficacy.  相似文献   
508.
509.
510.
    
A hyperbolic conservation equation can easily generate strong discontinuous solutions such as shock waves and contact discontinuity. By introducing the arc-length parameter, the pseudo arc-length method(PALM) smoothens the discontinuous solution in the arc-length space. This in turn weakens the singularity of the equation. To avoid constructing a high-order scheme directly in the deformed physical space, the entire calculation process is conducted in a uniform orthogonal arc-length space. Furthe...  相似文献   
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