Characterization of left‐definiteness of Sturm–Liouville problems | Zendy

Wei Guangsheng | Zendy; Wu Jianhua | Zendy

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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)

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