The form of the spectral functions associated with a class of Sturm–Liouville equations with integrable coefficient-Reference-Cited by-同舟云学术

The form of the spectral functions associated with a class of Sturm–Liouville equations with integrable coefficient

Published:1987 Issue:1 Volume:105 Page:215-227
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Harris B.J.

Abstract

SynopsisWe consider the second order, linear differential equation

in the case where, roughly, q ∊ L1 [0, ∞). We devise a representation for the spectral function, τ(t), associated with (*) which is valid for t sufficiently large. Our results are the best possible.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference12 articles.

1. The asymptotic form of the spectral functions associated with a class of Sturm–Liouville equations

2. 8 Harris B. J. . The asymptotic form of the Titchmarsh–Weyl m-function for a second order linear equation with analytic coefficient. J. Differential Equations (to appear).

3. THE ASYMPTOTIC FORM OF THE TITCHMARSH-WEYL m -FUNCTION

4. On the Titchmarsh–Weyl m -function

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