典型文献
Principal Value and Its Applications for One Type of Cauchy-Fantappiè Integral and the System of Equations
文献摘要：
It is known that principal value plays vital roles in the study of singular integral.In this paper,one type of Cauchy-Fantappiè integral with multiple indexes is introduced.Since the structure of the kernel is complexity,the Jacobian determinant included in the kernel is expanded for making clearly the expression of the kernel.Moreover,one differential operator is utilized for setting up relations between integrals with higher and usual orders.The work also concerns the convergent properties of the integral.In order to study Hadamard principal value and composite formula of this integral,finite and divergent parts will be estimated and separated.As an application,solvability of the system of integral equations with higher order singularity kernel is discussed.
文献关键词：
中图分类号：
作者姓名：
Lü Ping CHEN
作者机构：
School of Mathematical Sciences,Xiamen University,Xiamen 361005,P.R.China
文献出处：
引用格式：
[1]Lü Ping CHEN-.Principal Value and Its Applications for One Type of Cauchy-Fantappiè Integral and the System of Equations)[J].数学学报（英文版）,2022(09):1537-1550
A类：
Fantappi
B类：
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AB值：
0.598555
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