On the Self-adjointness of the Product Operators of Two mth-Order Differential Operators on [0,+∞)  

作　　者：JianYeAN JiongSUN 

机构地区：[1]DepartmentofMathematics,InnerMongoliaUniversity,Huhhot010021,P.R.China [2]DepartmentofMathematics,InnerMongoliaUniversity,Huhhot010021P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2004年第5期793-802,共10页数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(10261004)

摘　　要：In the present paper,the self-adjointness of the product of two ruth-order differential operators on [0,+∞)is studied.By means of the construction theory of self-adjoint operators and matrix computation,we obtain a sufficient and necessary condition to ensure that the product operator is self-adjoint,which extends the results in the second order case.In the present paper,the self-adjointness of the product of two ruth-order differential operators on [0,+∞)is studied.By means of the construction theory of self-adjoint operators and matrix computation,we obtain a sufficient and necessary condition to ensure that the product operator is self-adjoint,which extends the results in the second order case.

关 键 词：SELF-ADJOINTNESS PRODUCT Differential operators 

分 类 号：O151.21[理学—数学]