具有两个不连续点的二阶微分算子的J-自伴性  

Second order differential operators with discontinuities at two points for J-selfadjoint

作　　者：李润梅 姚斯琴[1] 甄国华 LI Runmei;YAO Siqin;ZHEN Guohua(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]内蒙古大学数学科学学院,内蒙古呼和浩特010021

出　　处：《内蒙古工业大学学报(自然科学版)》2025年第2期160-166,共7页Journal of Inner Mongolia University of Technology:Natural Science Edition

基　　金：国家自然科学基金项目(11801286);内蒙古自治区自然科学基金项目(2018MS01021)。

摘　　要：通过定义新的Hilbert空间和新的算子T来研究一类具有两个不连续点的微分算子T的J-自伴性、特征值问题与Green函数。证明了算子T在新的Hilbert空间中是J-自伴的,并给出了λ是T的特征值的充要条件和算子T的Green函数。By introducing a novel Hilbert space and a new operator T,the J-self-adjointness,eigenvalue problem and Green's function of a class of differential operators with two discontinuous points are investigated.It is demonstrated that the operator T is J-self-adjoint in the newly defined space,and then the eigenvalues of the operator T are computed and the Green's functions of such problems are presented.

关 键 词：J-自伴算子 转移条件 边界条件 特征值 GREEN函数 

分 类 号：O175[理学—数学]