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.
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Acknowledgements
This paper was supported by the National Natural Science Foundation of China (Grant No. 12261066)
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Translated from Advances in Mathematics (China), 2022, 51(1): 93–102
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Li, J., Xu, M. J-selfadjointness of a class of high-order differential operators with transmission conditions. Front. Math 17, 1025–1035 (2022). https://doi.org/10.1007/s11464-022-1032-z
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DOI: https://doi.org/10.1007/s11464-022-1032-z