Presenting the proceedings of the conference on Sturm-Liouville problems held in conjunction with the 26th Barrett Memorial Lecture Series at the University of Tennessee, Knoxville, this text covers both qualitative and computational theory of Sturm-Liouville problems. It surveys questions in the field as well as describing applications and concepts.

chapter |104 pages

Sturm–Liouville Problems

ByAnton Zettl

chapter |29 pages

The One-Dimensional Inverse Scattering Problem for Nonhomogeneous Media with Discontinuous Wavespeed

ByTuncay Aktosun, Martin Klaus, Cornelius Van Der Mee

chapter |14 pages

An Inverse Matrix Eigenvalue Problem

ByAyśe Alaca, Angelo B. Mingarelli

chapter |22 pages

Perturbation Theory for a One-Term Weighted Differential Operator

ByT.G. Anderson, R.C. Brown, D.B. Hinton

chapter |14 pages

The Computation of the Titchmarsh-Weyl m-Function

ByB.M. Brown, W.D. Evans

chapter |39 pages

Sturm-Liouville Problems with an Infinite Number of Interior Singularities

ByW.N. Everitt, C. Shubin, G. Stolz, A. Zettl

chapter |33 pages

On the Spectral Analysis of the Laguerre Polynomials Ln−k(x) for Positive Integers kLn˜−k(x) for Positive Integers k

ByW.N. Everitt, K.H. Kwon, L.L. Littlejohn, R. Wellman

chapter |20 pages

Guaranteed Numerical Bounds for Eigenvalues

ByMichael Plum

chapter |28 pages

SLDRIVER: A Tool for Exploring SL Solvers and SL Problems

ByJ D Pryce

chapter |19 pages

Applications of the Walker Method

ByJ K Shaw, A P Baronavski, H D Ladouceur