Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues  

作　　者：XU Xiao-chuan YANG Chuan-fu 

机构地区：[1]Department of Applied Mathematics, School of Science, Nanjing University of Science and Technology

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2018年第2期225-233,共9页高校应用数学学报（英文版）（B辑）

基　　金：supported in part by the National Natural Science Foundation of China(11611530682,11171152 and 91538108);Natural Science Foundation of Jiangsu Province of China(BK 20141392);supported by the China Scholarship Fund(201706840062)

摘　　要：Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a uniqueness theorem for determining the potential and the parameters in boundary and under discontinuous conditions from a particular set of eigenvalues, and provide corresponding reconstruction algorithm, which can be applicable to McLaughlin-Rundell＇s uniqueness theorem （see J. Math. Phys. 28, 1987）.Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a uniqueness theorem for determining the potential and the parameters in boundary and under discontinuous conditions from a particular set of eigenvalues, and provide corresponding reconstruction algorithm, which can be applicable to McLaughlin-Rundell＇s uniqueness theorem （see J. Math. Phys. 28, 1987）.

关 键 词：Sturm-Liouville operator discontinuous condition inverse spectral problem reconstruction al-gorithm 

分 类 号：O177[理学—数学]