高阶微分算子积的自伴性  

Self-adjointness of the Products of High-order Differential Operators

作　　者：晴晴[1] 王桂霞[1] 孔欢欢[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）》2012年第3期227-230,共4页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10961019);内蒙古自然科学基金资助项目(2009MS0114);内蒙古高校自然科学基金项目(NJ10047)

摘　　要：利用自伴算子的基本理论及矩阵运算,讨论了由不同高阶对称微分算式生成的微分算子积的自伴性问题,并得到积算子是自伴的充要条件.By using the basic theory of self-adjoint operators and matrix calculation, we discuss the self adjointness of product of two differential operators which generated by two different high-order symmetric differential expressions. The necessary and sufficient conditions which make the product operators being self-adjoint operators were 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]