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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE