# Accession Number:

## ADA034478

# Title:

## The Existence of Eigenvalues Embedded in the Continuous Spectrum of Ordinary Differential Operators.

# Descriptive Note:

## Technical summary rept.,

# Corporate Author:

## WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

# Personal Author(s):

# Report Date:

## 1976-10-01

# Pagination or Media Count:

## 18.0

# 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 qx in L superscript0, infinity for which the set of points constitutes the point-continuous spectrum associated with the equation yx lambda - qxyx 0 0 less than or equal to x less than infinity and some homogeneous boundary condition at x 0. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics