摘要
利用矩阵运算及算子的基本理论,讨论了由微分算式L_1=D^((2))+q_1(t)和L_2=D^((4))+q_2(t)其中(D=d/dx,t∈I=[a,b])生成的两个微分算子L_i(i=1,2)积L_1L_2的自伴性问题,并在常型情形下,获得了积算子自伴的充分必要条件.
The self-adjointness of product of operator generated by two different differential expressions is investigated with the theory of operators and matrix operations.And we obtain the sufficient and necessary conditions of product operator which is self-adjoint when differential operators are non-singular.
出处
《数学的实践与认识》
北大核心
2016年第18期218-222,共5页
Mathematics in Practice and Theory
基金
国家自然科学基金(11361039
11261037)
内蒙古自然科学基金项目(2014MS0111)
关键词
微分算子
积算子
自伴算子
differential expressions
product operators
self-adjoint operators
