两个微分算子乘积的自伴性
The Self-Adjointness of the Product of Two Differential Operators
DOI: 10.12677/AAM.2021.103088, PDF,   
作者: 王红军：河北工业大学理学院，天津
关键词: 闭区间；度量图；积算子；自伴性；Closed Interval； Metric Graph； Product Operators； Self-Adjointness
摘要: 本文研究了闭区间上两个一阶微分算子乘积自伴的充分必要条件，并且给出度量图上两个一阶局部微分算子积的自伴顶点条件。在研究闭区间上积算子自伴性的基础上，运用度量图上高阶局部微分算子的自伴顶点条件得到了积算子自伴的充分必要条件。
Abstract: In this paper, we study the necessary and sufficient conditions for the self-adjointness of the product of the two first-order differential operators on closed interval, and the self-adjoint vertex conditions of the product of two first-order local differential operators on metric graph are given. Based on the self-adjointness of the product operator on closed interval, the necessary and sufficient conditions which make the product operators be self-adjoint operators are obtained by using the self-adjoint vertex conditions of the higher-order differential operator on metric graph.
文章引用：王红军. 两个微分算子乘积的自伴性[J]. 应用数学进展, 2021, 10(3): 801-808. https://doi.org/10.12677/AAM.2021.103088

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