J-selfadjointness of a class of high-order differential operators with transmission conditions

作     者：Ji LI Meizhen XU Ji LI;Meizhen XU

作者机构：School of SciencesInner Mongolia University of TechnologyHohhot010051China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2022年第17卷第6期

页      面：1025-1035页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.12261066) 

主　　题：High-order differential operator transmission conditions J-self-adjoint C-orthogonal 

摘      要：This paper is to investigate the J-selfadjointness of a class of high-order complex coefficients differential operators with transmission *** 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.