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.
出处
《内蒙古农业大学学报（自然科学版）》
CAS
北大核心
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)
关键词
微分算子
积算子
自伴
Differential operators
product operators
self-adjoint
