The Existence of Eigenvalues Embedded in the Continuous Spectrum of Ordinary Differential Operators.
Abstract
In answer to two questions raised by W.N. Everitt, we show that, given p greater than 1 and any countably infinite set of points on the positive lambda-axis, there is a q(x) in L superscript(0, infinity) for which the set of points constitutes the point-continuous spectrum associated with the equation y(x) + (lambda - q(x))y(x) = 0 (0 less than or equal to x less than infinity) and some homogeneous boundary condition at x = 0. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 01, 1976
- Accession Number
- ADA034478
Entities
People
- J. B. Mcleod
- M. S. P. Eastham
Organizations
- University of Wisconsin–Madison