三个二阶微分算子积的自伴性  

On Self-adjointness of the Product of Three Second-order Differential Operators

作　　者：张新艳[1] 王万义[1] 杨秋霞[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》2007年第1期35-42,共8页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10661008);内蒙古自然科学基金资助项目(20010901-06)

摘　　要：利用自伴算子的基本理论及矩阵运算,讨论了由正则和奇异的二阶对称微分算式生成的微分算子的积算子的自伴性,得到了3个算子的积算子是自伴的充分必要条件.In this paper,the adjointness of the product of three differential operators were discussed by means of the construction theory of self-adjoint operators and matrix computation,and generated by a second order symmetric differential expression, including ordinary and singular two cases. Tenecessary and sufficient conditions which make the product operators being adjoint operators were also obtained.

关 键 词：对称微分算式 积算子 自伴算子 

分 类 号：O175.3[理学—数学]