微分

How to establish the adjoint medel is discussed by using the Gateaux differential of function and the concepts of the adjoint operators in Hibert space. At the same time it is verified that selecting proper finite difference scheme can ensure discrete form remaining the same adjoint r...

文中利用泛函的Gateaux微分和Hilbert空间上伴随算子的概念讨论了连续的伴随模型的建立，并通过选择适当的差分格式离散伴随模型，使其保持连续时的伴随关系，同时给出了水温初始场最优化过程及相应的同化试验数值结果。

Then, the relations between the general nonlinear systems and its adjoint system were discussed, from which the sufficient and necessity conditions for exact linearization of general nonlinear control systems were obtained.

近20年来，由于微分几何等数学工具的引入，非线性控制系统的理论取得了长足的进展［1］，其中包括仿射非线性系统的精确线性化［2～4］。

The formal solution of partial differential equations is given on characteristic line, the existence of the optimal control is proven by using Ekeland\'s variational principle, Gronwall Lemma and adjoint system, then the necessary condition of optimality is obtained by means of the conception of normal cone.

用特征线法表示出偏微分方程的形式解，利用Ekeland变分原理，Gronwall引理和共轭系统证明了最优控制的存在性，并借助于法锥概念得到了最优控制的必要性条件。

The adjoint variable method for design sensitivity analysis of multibody system dynamics based on ordinary differential equations is presented.

基于常微分方程数学模型建立了多体系统动力学设计灵敏度分析的伴随变量方法。

In Chapter 2,a steady permeability identification problem in elliptic equa-tions for two-dimensional orthotropic medium is considered.We construct afunctional,obtain its first and second Gateaux differential,and prove that thefunctional is strictly convex on a convex admissible function set.We seek to iden-tify the permeability by minimization of the above functional.

第二章研究了二维稳态正交异性介质的渗透率反演问题，我们构造了一个泛函，求得该泛函的一、二阶Gateaux微分，证明了它在一个凸的容许集上的严格凸性，并使用极小化泛函即变分方法来求解此问题。

It is proved in the paper that the uniformly ultimate boundedness of solutionsimplies the existence of periodic solutions to functional differential equations with infinite delayin admissible phase space with fading memory .

本文证明了在具有衰减记忆的允许相空间中，无限时滞泛函微分方程的解的一致最终有界性蕴含了周期解的存在性。

The followings are studied in this paper:(1) The orbit is evaluated according to a three-dimensional numerical model of the aerated water jet.

根据掺气水舌入水喷溅特性，建立了水滴在重力、浮力、空气阻力、水舌风及环境风的作用下的水滴随机运动的微分方程，给出了数值计算模型求解降雨强度的计算方法。

Then the relationship between the wavelet shrinkage and diffusion equation is studied. A t last stationary wavelet transform has been used to derive an affine invariant function.

同时从小波阈值函数与散度函数的关系入手进行研究，说明了小波分析与偏微分方程之间的联系。

Was systematicly introduced to the field of image processing, and formed a relatively integrated theory system combined with other mathematic tools such as mathematic morphology and affine geometry. The level set methods proposed by S.

但直到九十年代才比较系统地将偏微分方程引入图像处理领域，结合其他一些数学工具如数学形态学和仿射几何等，形成了比较完整的理论体系。

The derivative nonlinear Schrodinger equation is, however, an open and important issue both in theoretical and applied aspects. The DNLS equation with nonvanishing boundary conditions is solved by introducting an affine parameter and we find that it supports a rich set of soliton solutions.

大部分完全可积的(1+1)维非线性偏微分方程，特别是有明确物理应用的方程的孤子解已经用反散射变换等方法得到，但还剩下一些难题，变形的非线性薛定谔方程在非零边值下的反散射变换就是其中一个。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。