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Matrix representations of Sturm‐Liouville problems with coupled eigenparameter‐dependent boundary conditions and transmission conditions
Author(s) -
Cai Jinming,
Zheng Zhaowen
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4842
Subject(s) - mathematics , eigenvalues and eigenvectors , sturm–liouville theory , boundary value problem , transmission (telecommunications) , matrix (chemical analysis) , mathematical analysis , boundary (topology) , class (philosophy) , robin boundary condition , mixed boundary condition , computer science , physics , chemistry , telecommunications , quantum mechanics , artificial intelligence , chromatography
We study matrix representations of Sturm‐Liouville problems with coupled eigenparameter‐dependent boundary conditions and transmission conditions. Meanwhile, given any matrix eigenvalue problem with coupled eigenparameter‐dependent boundary conditions and transmission conditions, we construct a class of Sturm‐Liouville problems with given boundary conditions and transmission conditions such that they have the same eigenvalues.