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.
我们研究含非稠定闭线性算子的积-微分方程。
Integro-differential equations with nondensely defined linear operators in Banach space was considered.
引入了卡氏和张量混合积空间上的对称化算子和相应的分块矩阵上的混合矩阵函数，给出了关于它们的若干关系式。
Symmetrizing operators on mixed cartesian and tensor product spaces and corresponding mixed matrix functions on partitioned matrices are introduced. Some relation formulae on them are given.
本文引入了余弦算子函数滤子积的概念。
The concept of filter product of cosine operator functions is introduced in this paper.
文中给出了二阶卷积算子的定义和性质并举例说明。
The second order convolution operators are defined and several properties are discussed.
通过对滤子积余弦算子函数及生成元谱性质的讨论，建立了局部等度连续余弦算子函数的谱映象定理。
By discussing the filter product cosine operator function and the spectrum of it 's generator, the spectral mapping theorem for the locally equicontinuous cosine operator function is established.
本文给出在离散情形下回复弱混合算子的定义，并给出两个算子的积是弱混合的一个充分条件。
In this paper, we give the definition of the recurrently weak-mixing operators in the discrete case, and obtain a sufficient condition under which the product of two operators is weak-mixing.
第一章：引言和预备知识部分，主要是关于微分算子的积算子自伴的研究情况和对称微分算子的一些基本知识。
Chapter one is divided into two parts: in the first part, we give the simple summarize of adjointness of differential operator product;
另外，本文在环的直积结构上通过模糊理想的直积诱导近似算子，对相关近似算子的性质进行了研究。
In addition, on the direct product of rings, the approximation operators are introduced by using the direct product of fuzzy ideals and the relevant properties of approximation operators are derived.
理论分析与模型试算证明了褶积微分算子法的正确性与有效性。
The theoretical analysis and numerical results show the accuracy and validity of the CD.
理论分析与模型试算证明了褶积微分算子法的正确性与有效性。
The theoretical analysis and numerical results show the accuracy and validity of the CD.
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