Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420702 | Applied Mathematics and Computation | 2015 | 12 Pages |
Abstract
In this paper we study an inverse problem for weighted second order Sturm-Liouville equations. We show that the zeros of any subsequence of eigenfunctions, or a dense set of nodes, are enough to determine the weight. We impose weaker hypotheses for positive weights, and we generalize the proof to include indefinite weights. Moreover, the parameters in the boundary conditions can be determined numerically by using a shooting method.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Juan P. Pinasco, Cristian Scarola,