Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502692 | Journal of Mathematical Analysis and Applications | 2005 | 29 Pages |
Abstract
In this paper we solve an inverse spectral problem associated with a traditional Sturm-Liouville equation with an indefinite weight function. Specifically, we reconstruct a unique positive potential from two spectral sequences, given a weight function with a simple turning point in the interior of a finite interval with fixed end boundary conditions. We show the existence of special non-linear second order differential equations satisfied by these eigenvalue functions, dubbed the dual equations, eigenvalues whose asymptotics are used in the description of the reconstruction of the unknown potential.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
A. Jodayree Akbarfam, Angelo B. Mingarelli,