两个高阶正则拟微分算子积的对称性

Abstract

Abstract:

The symmetric realizations of the product of two general regular quasi-differential expressions in Hilbert space are investigated. The two-point boundary conditions which determine symmetric operators are characterized and a sufficient and necessary condition for the product of two higher-order regular differential operators to be symmetric is obtained. The presented result contains the self-adjoint do-main characterization as a special case. Several examples of regular symmetric product operators are given.

Key words: Quasi-Differential expressions, Product of differential operators, Boundary conditions, Symmetric operators

CLC Number:

O175.3

Xiang Yanyu, Wang Aiping. On Symmetry of the Product of Two Higher-Order Regular Quasi-Differential Operators[J].Acta mathematica scientia,Series A, 2024, 44(2): 265-275.

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References 19

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On Symmetry of the Product of Two Higher-Order Regular Quasi-Differential Operators

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