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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front. Math. China    2022, Vol. 17 Issue (6) : 1025-1035    https://doi.org/10.1007/s11464-022-1032-z
RESEARCH ARTICLE
J-selfadjointness of a class of high-order differential operators with transmission conditions
Ji LI, Meizhen XU()
School of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China
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Abstract

This paper is to investigate the J-selfadjointness of a class of high-order complex coefficients differential operators with transmission conditions. Using the Lagrange bilinear form of J-symmetric differential equations, the definition of J-selfadjoint differential operators and the method of matrix representation, we prove that the operator is J-selfadjoint operator, and the eigenvectors and eigen-subspaces corresponding to different eigenvalues are C-orthogonal.

Keywords High-order differential operator      transmission conditions      J-selfadjoint      C-orthogonal     
Corresponding Author(s): Meizhen XU   
Online First Date: 03 January 2023    Issue Date: 04 January 2023
 Cite this article:   
Ji LI,Meizhen XU. J-selfadjointness of a class of high-order differential operators with transmission conditions[J]. Front. Math. China, 2022, 17(6): 1025-1035.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-022-1032-z
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I6/1025
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