Iterative sequences are also constructed, which converge to the solutions of the operator equation.
并构造迭代列，使之收敛于该算子方程之解。
By some abstract results of operator equation, the fourth order singular boundary value problem was discussed.
利用算子方程的一些抽象结果来讨论四阶奇异边值问题。
Parameter inversion of solute transport inside unsaturated soils was generally solved through a nonlinear operator equation.
非饱和土中溶质迁移参数反演问题可以归结为非线性算子方程的求解问题。
In this paper, we introduce some new concepts, and study random solution of random operator equation of 1 set contractive type.
本文提出了几个新概念，研究了1集压缩型随机算子方程的随机解。
The problem of determining the diffusive coefficients can be formulated as one of solving a special nonlinear operator equation.
对流一扩散方程中扩散系数反演问题，可以归结为一个特殊的非线性算子方程求解问题。
Then through resolving a key operator equation, we obtain the commutator representation of this hierarchy of the soliton equations.
之后，通过求解一个关键性算子方程，得到此类孤子方程族的换位表。
A smoothing function which can be approximated by NCP-function is given and the smoothing Newton method is applied to resolve this nonsmooth operator equation.
构造一个光滑化函数逼近NCP函数，利用光滑化牛顿法求解此非光滑算子方程。
In this paper, to 1-set contraction random operator equation, the author explained the conception of couple solution, obtained existence theorem of couple solution.
提出了1 -集压缩型随机算子方程耦合解的概念，并研究了这类随机算子方程耦合解的存在性。
By reducing the MREIT problem to a nonlinear operator equation, the formal derivative of the operator and the formula of solution for linearization problem are given.
通过将问题化为非线性算子方程，推导出算子的形式导数，给出了线性化问题解的等价表达。
In this paper, the existence and uniqueness theorems of solution of a class Non-monotonic parametric stochastic operator equation with piecewise contraction property is discussed.
本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性。
By using a nonlinear equation satisfied the charge operator, the spectrum is calculated exactly in energy basis for each cell.
根据电荷算符满足的非线性运动方程，在各单元能量基上，精确地计算了能谱。
The operator is characterized by low order equation, imaging for steep dip and adapting for any changes in velocity field.
该算子具有方程阶数低且能对陡倾角成像的特点，能适应速度场的任意变化。
The first one is the artificial method in adjusting to the time step, which can be realized by controling the variation of operator energy in equation artificially.
在人工调节时间步长法中，通过人为控制方程中算子能量变化的办法调整时间步长；
In this paper, the generalized transport equation is derived from projection operator techniques and the physical meaning of the results is discussed.
本文介绍用投影算符技术导出广义输运方程，并对结果的物理意义进行了讨论。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
Based on the skew direction difference operator, the implicit skew difference schemes were constructed, and the boundary condition was unified, to solve the diffusion equation.
采用斜向差分算子，建立斜向隐式差分格式，再结合边界条件，对扩散方程进行求解。
In this paper, a new approach, which is based on simulated annealing algorithm for solving a class of diffusion equation of parameter operator identification of inverse problem, is presented.
文章给出了利用模拟退火算法求解一类扩散方程的参数算子识别反问题的一种新方法。
The master equations of a reduced system density operator , by means of the Liouville equation and the projection operators techniques have been derived.
在本文中我们利用投影算符技巧通过刘维方程推导了系统约化密度主方程，这种方法特别适合于赝非马尔可夫的库场情况。
Results 16 risk factors such as crews' nationalities, ship operator, epidemic prevalence region and month, ship age etc were selected to establish structural equation model.
结果筛选船员国籍、船舶经营者、来自疾病流行区、月份、船龄等16个危险因素，建立了结构方程模型。
With the aid of the projective operator technique, an integro-differential equation for the porbability density and an approximate equation for the mean first-passage time (MFPT) have been derived.
推导了平均第一通过时间（MFPT）方程，并在弱噪声和短相关近似下，得出方程的解； 通过数值分析阐明了平均第一通过时间和噪声关联时间之间的联系。
We propose an implicit discretization for the level set equation of the model and solve it using additive operator splitting scheme (AOS).
本文提出，首先，将该模型对应的水平集方程做隐式数值化，然后采用加性算子分割方法(AOS)求解。
Using it we can conveniently and simply convert a ME into its corresponding differential equation and from solution of which we can extract the reduced density operator.
该方法能方便、简洁地将密度主方程转化为对应的普通微分方程，并能从微分方程的解中提取出约化密度算符。
Impulse hyperbolic partial differential equation oscillation higher order Laplace operator.
脉冲双曲型偏微分方程振动性高阶Laplace算子。
Related problems and concepts include; convex operator, reciprocity set and reciprocity principles, H-generalized solution and operator-differential equation, etc.
有关的问题与概念有：凸算子，互易集与互易原理，H广义解，算子微分方程等。
Related problems and concepts include; convex operator, reciprocity set and reciprocity principles, H-generalized solution and operator-differential equation, etc.
有关的问题与概念有：凸算子，互易集与互易原理，H广义解，算子微分方程等。
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