积分-微分算子的迹公式

数学物理学报 ›› 2019, Vol. 39 ›› Issue (2): 244-252.

积分-微分算子的迹公式

陈仕荣()

南京林业大学理学院信息与计算科学南京 210037

收稿日期:2017-07-11 出版日期:2019-04-26 发布日期:2019-05-05
作者简介:陈仕荣, E-mail: somxiaorong@163.com

A Trace Formula for Integro-Differential Operators

Shirong Chen()

Information and Computing Science, College of Science, Nanjing Forestry University, Nanjing 210037

Received:2017-07-11 Online:2019-04-26 Published:2019-05-05

摘要/Abstract

摘要：

该文研究积分-微分算子的迹公式，它在反问题、特征值的数值计算、可积系统理论等有着重要的应用.得到了Dirichlet-Robin边界条件和Dirichlet边界条件下积分-微分算子的迹公式.

关键词: 积分-微分算子, 特征值, 迹公式, 势函数

Abstract:

The trace formulae for the integro-differential operator are studied, which have many applications in the inverse problem, the numerical computation of eigenvalues and the theory of integrable system, etc. The trace formula for integro-differential operators with Dirichlet-Robin boundary conditions or Dirichlet boundary conditions are obtained.

Key words: Integro-differential operator, Eigenvalue, Trace formula, Potential

中图分类号:

O175.3

陈仕荣. 积分-微分算子的迹公式[J]. 数学物理学报, 2019, 39(2): 244-252.

Shirong Chen. A Trace Formula for Integro-Differential Operators[J]. Acta mathematica scientia,Series A, 2019, 39(2): 244-252.

参考文献 18

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