两类四阶微分算子积的自伴性  

THE SELF-ADJOINTNESS OF TWO CLASSES OF 4TH-ORDER DIFFERENTIAL OPERATORS PRODUCT

作　　者：玉林[1] 王万义[2] 

机构地区：[1]内蒙古师范大学数学科学学院,呼和浩特010022 [2]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古农业大学学报（自然科学版）》2010年第4期259-263,共5页Journal of Inner Mongolia Agricultural University(Natural Science Edition)

基　　金：国家自然科学基金(10961019);内蒙古自治区科学基金项目(2009MS0114);内蒙古师范大学自然科学基金(CXIJS08079)

摘　　要：本文利用自伴算子的基本理论及矩阵运算,讨论了由不同的两个微分算式D(4)+D(2)qi(t)(i=1,2)(t∈I=[a,b])生成的两个微分算子Li(i=1,2)积L1L2的自伴性问题,并在常型情况下,获得了积算子自伴的充分必要条件。In this paper,the problem of the self-adjointness of product of operator generated by two different differential expressions is investigated.And when is non-singular differential operators,we apply the theory of selfadjoint operators as well as matix operations and obtain the sufficient and necessary conditions which product operator is self-adjoint.

关 键 词：微分算子 积算子 自伴 

分 类 号：Q175.3[生物学—水生生物学]