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

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

Published:1985 Issue:3-4 Volume:100 Page:343-360
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 use a modified form of the Stieltjes inversion formula due to Atkinson together with some recent results on the asymptotic form of Titchmarch–Weyl m-functions to obtain an asymptotic expression for the spectral functions τ(t) associated with the differential equation

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference19 articles.

1. Some questions in the theory of one dimensional second order linear differential operations;MarČenko;Trudy Moscow. Mat. Obsc,1952

2. On Titchmarsh-Weyl M(λ)-functions for linear Hamiltonian systems

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