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Inverse spectral problem of fourth‐order boundary value problems with finite spectrum
Author(s) -
Ao JiJun,
Zhang Liang
Publication year - 2019
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.5667
Subject(s) - mathematics , interlacing , eigenvalues and eigenvectors , boundary value problem , inverse problem , spectrum (functional analysis) , inverse , mathematical analysis , matrix (chemical analysis) , geometry , physics , materials science , quantum mechanics , computer science , composite material , operating system
In the present paper, we consider a class of inverse spectral problem of fourth‐order boundary value problems. Under the so‐called “Atkinson type” conditions, the problem has finite spectrum and corresponding matrix representations. By using the method of inverse matrix eigenvalue problems of two‐banded matrix, the leading coefficient and potential functions are reconstructed from the given three sets of interlacing real numbers satisfying certain conditions.