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On the Self-adjointness of the Product Operators of Two mth-Order Differential Operators on [0,+∞) 被引量:5

On the Self-adjointness of the Product Operators of Two mth-Order Differential Operators on [0,+∞)
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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.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 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)
关键词 SELF-ADJOINTNESS PRODUCT Differential operators Self-adjointness Product Differential operators
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