Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502823 | Journal of Mathematical Analysis and Applications | 2005 | 14 Pages |
Abstract
We study Sturm-Liouville problems with right-hand boundary conditions depending on the spectral parameter in a quadratic manner. A modified Crum-Darboux transformation is used to produce chains of problems almost isospectral with the given one. The problems in the chain have boundary conditions which in various cases are affine or bilinear in the spectral parameter, and in all cases culminate in a problem with constant boundary conditions. This extends recent work of Binding, Browne, Code and Watson when the right-hand condition is either an affine function of the spectral parameter with negative leading coefficient or a Herglotz function.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Warren J. Code, Patrick J. Browne,