In this paper, the classifications of boundary conditions of the self-adjoint differential operators and its canonical form are studied.
本文主要研究自共轭微分算子边界条件的分类及其标准型。
For the sake of predicting the detection effect of differential operators, the frequency features of common operators are analyzed from the view point of frequency domain.
为了预测微分算子边缘提取能达到的效果，从频域角度出发，分析了边缘检测中常用微分算子的频谱特性。
This paper provides several linear isomorphism theorems for certain nonsymmetric differential operators of sixth order under proper topologies about some complex parameters.
给出了某类六阶非对称微分算子在一些合适拓扑下关于复参数的几个线性同构定理。
In this paper we will study the pseudo-differential operators P which satisfy conditions 1-4(or 4'). They constitute a class of hyperbolic operators with multi-characteristics.
本文对满足条件1-4（或4＇）的一类具重特征的双曲拟微分算子（1）进行初步的讨论。
The principle is to impose multiple differential operators on facial region, which highlights the nearby area of the facial organs and form many high-brightness distribution areas.
其原理是将多次微分运算施加于肖像的脸部区域，从而突显出脸部的高亮度分布区。
Sensitivity is different for different differential operators, how to choose a suitable edge detection operator to obtain exact information of edge, is the essential step for fracture surface image.
不同的微分算子对边缘的敏感程度是不同的，如何选用适当的边缘检测算子得到准确的边缘信息，就成为断口图像处理的关键步骤。
Using the cosine transform matrix the Cartesian tensors, differential operators and related equations can be readily transformed into corresponding expressions in orthogonal curvilinear coordinates.
利用这个变换矩阵可以方便地将笛卡尔坐标的张量表达式、微分算子及有关公式变换成正交曲线坐标的相应公式。
It is well-known that fractional integral operator is one of the important operators in harmonic analysis with background of partial differential equations.
众所周知，分数次积分算子是调和分析中以偏微分方程为背景的一种重要算子。
In this paper, we study the elliptic partial differential Cquation whose coefficients are strongly monotony operators, and obtain the everywhere convergence of the gradients of solutions.
本文研究了系数为强单调算子的椭圆型偏微分方程，得到了解的梯度的几乎处处收敛性。
And the evolution of the statistical average values of the set of operators with time satisfy a group of one-order linearly differential equations.
这组算子的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
Through the martingale approach, the construction of coupling operators is explored and coupling methods in multivalued stochastic differential equations are studied.
通过鞅方法构造耦合算子，研究了多值随机微分方程中的耦合方法。
The statistical average values of some relevant operators satisfy a set of differential equations of the first order.
有关算符的统计平均值随时间的演化满足一个封闭的一阶线性微分方程组。
Integro-differential equations with nondensely defined linear operators in Banach space was considered.
我们研究含非稠定闭线性算子的积-微分方程。
In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.
此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上，取得了一些成果。
In this paper, we get the self-adjointness of the product operators generated by different two differential expressions by operator theory and matrix calculation.
此前对微分算子的积算子自伴的研究主要集中于由同一个对称微分算式生成的两个或多个微分算子积的自伴问题上，取得了一些成果。
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