一类周期散射数据的Hilbert核的奇异积分方程分析  

Analysis of Hilbert Kernel Singular Integral Equation for a Class of Periodic Scattering Data

作　　者：贾瑜洁 刘华[1] JIA Yujie;LIU Hua(School of Science,Tianjin University of Technology and Education,Tianjin 300222,China)

机构地区：[1]天津职业技术师范大学理学院,天津300222

出　　处：《新乡学院学报》2021年第6期1-4,共4页Journal of Xinxiang University

基　　金：天津职业技术师范大学研究生创新基金资助项目(YC20-16)。

摘　　要：利用复变方法研究了平面弹性周期问题,将Hilbert核的奇异积分方程与二维双调和方程结合,导出了相应的微分-奇异积分方程及其可解的充分必要条件。The periodic problem of plane elasticity is studied by means of the complex variable method in this thesis.By combining the singular integral equation of Hilbert kernel with the two-dimensional biharmonic equation,the corresponding differential singular integral equation and the necessary and sufficient conditions for its solvability are derived.

关 键 词：双调和函数 Hilbert核的奇异积分方程 微分-奇异积分方程 

分 类 号：O174.5[理学—数学]