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积分-微分算子的迹公式 被引量:1

A Trace Formula for Integro-Differential Operators
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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. 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.
作者 陈仕荣 Shirong Chen(Information and Computing Science, College of Science, Nanjing Forestry University, Nanjing 210037)
出处 《数学物理学报(A辑)》 CSCD 北大核心 2019年第2期244-252,共9页 Acta Mathematica Scientia
关键词 积分-微分算子 特征值 迹公式 势函数 Integro-differential operator Eigenvalue Trace formula Potential
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