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1.
Note on Bernstein polynomials and Kantorovich polynomials   总被引:2,自引:0,他引:2  
We obtain two asymptotic representations of remainder of approximation of derivable functions by Bernstein polynomials and Kantorovich polynomials separately.  相似文献
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3.
This paper deals with a class of anticipated backward stochastic differential equations. We extend results of Peng and Yang (2009) to the case in which the generator satisfies non-Lipschitz condition. The existence and uniqueness of solutions for anticipated backward stochastic differential equations as well as a comparison theorem are obtained. The existence and uniqueness of Lp(p>2) solutions for anticipated backward stochastic differential equations are also studied.  相似文献
4.
A method for the numerical simulation of the dynamics of particles in a rapidly varying viscous flow has been developed and implemented as a software package. The frequency of variations in the fluid velocity is assumed to be such that the nonlinear terms in the equations of motion can be neglected in comparison with the nonstationary terms. The hydrodynamic interaction of the particles is taken into account. The velocities of the particles and their trajectories are computed. It is found that the trajectories of the particles depend substantially on the ratio of their radii. In the case of dipole particles in a rapidly varying external magnetic field, the hydrodynamic interaction is shown to prevent the particles from approaching each other under the influence of dipole-dipole interaction forces.  相似文献
5.
通过傅立叶积分公式和筛选性质给出了关于积分等式∫ -∞ ^∞e^t^2/2dt=√2π的一种新证明方法.  相似文献
6.
对数据包络分析模型中的两种超效率模型——LJK模型和MAJ模型进行了分析和研究,通过变量替换,对原有模型进行了变形,在不变规模效益和非零输入条件下,分析了它们和AP模型之间的内在联系,得出并证明了若干重要性质,最后给了实例证明.  相似文献
7.
本文建立了23个综合考虑水稻单产的时间效应、空间效应和时空交互效应的时空模型。利用湖北省1991-2007年县级水稻单产数据,借助WinBUGS进行Gibbs抽样估计,根据DIC准则进行选择最优模型,预测1992-2009年各县市的水稻单产。基于2008年预测单产及其后验分布,厘定县级水稻产量保险的纯费率。研究的主要结论:1992-2007年的预测值与实际值比较接近,且预测的水稻单产的标准差都比较小,表明所选择模型具有良好的短期预测能力;相邻地域的纯费率比较接近;所厘定的纯费率与蒙特卡洛(Monte Carlo,MC)误差正相关,Pearson相关系数为0.6793,MC误差包含来自时间、空间以及两者相互作用带来的不确定性。  相似文献
8.
We solve motion control problems with feedback under the linear approximation of equations of the considered system. Due to the smallness of the nonlinear part and the controllability of the linear approximating system this property is preserved under a nonlinear perturbation. We perform the study by the method of Lyapunov functions and by the comparison method within finite and infinite time intervals. We illustrate the obtained results by an example of controlling a simple mechanical system.  相似文献
9.
For Schr?dinger operators (including those with magnetic fields) with singular scalar potentials on manifolds of bounded geometry, we study continuity properties of some related integral kernels: the heat kernel, the Green function, and also kernels of some other functions of the operator. In particular, we show the joint continuity of the heat kernel and the continuity of the Green function outside the diagonal. The proof makes intensive use of the Lippmann–Schwinger equation. Submitted: September 20, 2005. Revised: July 20, 2006. Accepted: October 31, 2006.  相似文献
10.
研究了在Yamabe流下演化的一个完备非紧黎曼流形,对流形上热方程的正解给出了两种局部的梯度估计.作为应用,可以得到这个热方程的Harnack不等式.  相似文献
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