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Characterization of left‐definiteness of Sturm–Liouville problems
Author(s) -
Wei Guangsheng,
Wu Jianhua
Publication year - 2005
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200310283
Subject(s) - mathematics , sturm–liouville theory , definiteness , positive definiteness , characterization (materials science) , pure mathematics , boundary value problem , mathematical analysis , positive definite matrix , linguistics , eigenvalues and eigenvectors , physics , philosophy , quantum mechanics , optics
The left‐definiteness for both regular and singular Sturm–Liouville problems is characterized. We give a necessary and sufficient condition on the coefficients, the endpoints and the boundary conditions of Sturm–Liouville problems to determine the left‐definiteness. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)