A note on eigenvalues of ordinary differential operators | Zendy

A. S. W. Ho | Zendy

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A note on eigenvalues of ordinary differential operators

Author(s) -

A. S. W. Ho

Publication year - 1997

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/226

Subject(s) - mathematics , eigenvalues and eigenvectors , differential operator , ordinary differential equation , mathematical analysis , pure mathematics , differential equation , physics , quantum mechanics

In this follow-up on the work of Fefferman-Seco [FS] an improved condition for the discrete eigenvalues of the operator -d2 / dx2 + V(x) is established for V(x) satisfying certain hypotheses. The eigenvalue condition in [FS] establishes eigenvalues of this operator to within a small error. Through an obervation due to C. Fefferman, the order of accuracy can be improved if a certain condition is true. This paper improves on the result obtained in [FS] by showing that this condition does indeed hold.

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