积分算子

A complete boundary integral formulation for incompressible Navier Stokes equations with time discretization by operator splitting is developed by using the fundamental solutions of the Helmhotz operator equation with different orders.

利用不同阶次的Helmhotz算子方程的基本解，建立了时间离散不可压缩Navier－Stokes方程的完全边界积分表示式。

In Chapter 2 and Chapter 3, we give the solutions of integral form on Orbifold T2/ZN(N = 3,4,6).These solutions include all the projection operators which have minimal trace and the induced matrices of which are continuous functions of kq. In terms of this kind of solution one can construct various closed form of solutions.

在第二章和第三章中我们给出了T~2/Z_N(N=3，4，6)上的以积分形式表达的解，这些解包括所有具有最小迹且诱导矩阵是kq参量连续函数的投影算子，并且可以由它进而构造各种有限形式的解。

In Chapter 2 and Chapter 3, we give the solutions of integral form on Orbifold T〓/Z〓(N=3, 4, 6). These solutions include all the projection operators which have minimal trace and the induced matrices of which are continuous functions of kq. In terms of this kind of solution one can construct various closed form of solutions.

在第二章和第三章中我们给出了T〓/Z〓（N=3，4，6）上的以积分形式表达的解，这些解包括所有具有最小迹且诱导矩阵是kq参量连续函数的投影算子，并且可以由它进而构造各种有限形式的解。

And to solve the linear problem is turned to obtain the solution of an operator equation equivalent to it.

相应线性方程的带积分边值条件的混合问题，则是通过求解与线性方程等价的算子方程解决的。

Every existence theorem of them is proved, respectively.

本文所获的一些结果不仅是非线性泛函分析领域中一系列重要定理的推广，而且它们为随机微分方程、随机积分方程及随机算子方程的研究提供重要的工具。

The generalized Huygens–Fresnel diffraction integral for misaligned asymmetric first-order optical systems is derived by using the canonical operator method, which enables us to study propagation properties of anisotropic Gaussian Schell-model beams through misaligned asymmetric first-order optical systems.

广义惠更斯-菲涅尔衍射积分为歪斜的非对称一阶光学系统中，推导出用典型算子方法，使我们可以研究繁殖性能的各向异性高斯夏伟模型光束通过失调非对称一阶光学系统。

When obtaining this condition,we don\'t use any bounding technique to deal with the weak infinitesimal operator of the Lyapunov function by using the knowledge of stochastic analysis.

积分的性质，引入了适当的自由权矩阵，避免了对Lyapunov函数的弱无穷小算子进行放大，从而降低了稳定性条件的保守性。

Firstly, this paper introduces a function space defined by Bouziani and takes the inner product in space L2 of the linear equation and an integrodifferential operator.

首先引入一个Bouziani定义的空间，利用该空间的一些特点，将原线性方程的两端在L~2空间内与一个积分微分算子作内积。

It is well-known that the generalized inverses of a matrix have wide applications in many areas such as differential and integral equations, operator theory, statics, optimal theory, control theory, Markov chains and etc.

众所周知，矩阵广义逆在许多领域中有广泛应用，如在微分和积分方程、算子理论、统计学、控制论、Markov链、最优化等。

This paper considers weighted estimate s of polynomial operator spectra by using the methods of integral,Rayleigh theorem and Schwartz inequality and establishes the inequality of upper bound of the(n+1) spectrum by depending on the former n spectra and the estimated coefficient is independent of the measure of the domain.

考虑多项式算子谱的带权估计，利用分部积分、Rayleigh定理、Schwartz不等式等方法，建立了用前n个谱来估计第n+1个谱的上界的不等式，且其估计系数与区域度量无关。

By the time of its fall, most of the prisoners were writers who had written against the corruptions of the government.

到它被攻陷的时候，里面多数的犯人是写了反对政府贪污文章的作家。

The most obvious variation to ovum morphological character was that the color was changed from light green to sepiaceous in embryonic development, and all the ovums were almost hatched after 96h.

在胚胎发育过程中卵的形态特征最明显的变化是颜色从淡绿到深褐色，卵在发育96h后卵基本全部孵化。