A priori bounds and existence of non-real eigenvalues of indefinite Sturm–Liouville problems
Author(s) -
Jiangang Qi,
Shaozhu Chen
Publication year - 2014
Publication title -
journal of spectral theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.063
H-Index - 19
eISSN - 1664-0403
pISSN - 1664-039X
DOI - 10.4171/jst/61
Subject(s) - sturm–liouville theory , eigenvalues and eigenvectors , a priori and a posteriori , mathematics , moduli , pure mathematics , mathematical analysis , boundary value problem , physics , philosophy , quantum mechanics , epistemology
The present paper gives a priori bounds on the possible non-real eigenvalues of regular indefinite Sturm-Liouville problems and obtains sufficient conditions for such problems to admit non-real eigenvalues.
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