𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Perturbation Theory for a Sturm-Liouville Problem with an Interior Singularity

✍ Scribed by Gunson, J.

Book ID
120149056
Publisher
The Royal Society
Year
1987
Tongue
English
Weight
383 KB
Volume
414
Category
Article
ISSN
0962-8444

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Asymptotics of Eigenvalues for Sturm-Lio
Asymptotics of Eigenvalues for Sturm-Liouville Problems with an Interior Singularity
✍ B.J. Harris; D. Race πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 718 KB

We consider the asymptotic form of the eigenvalues of the linear differential equation \[ -y^{\prime \prime}(x)+q(x) y(x)=\lambda y(x), \quad-\infty<a<x<b<x, \] where \(a<0<b, q(x)\) is singular at \(x=0\), and \(y\) satisfies appropriate conditions at \(a, 0\), and \(b\). This extends previous wo

An interior inverse problem for the Stur
An interior inverse problem for the Sturm–Liouville operator with discontinuous conditions
✍ Chuan-Fu Yang; Xiao-Ping Yang πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 355 KB

In this work, we study the inverse problem for the Sturm-Liouville operator -D 2 + q with discontinuity boundary conditions inside a finite closed interval. Using spectral data of a kind, it is shown that the potential function q(x) can be uniquely determined by a set of values of eigenfunctions at