On the location of the least point of the essential spectrum

  • Authors:

  • Don Hinton

  • Affiliations:

  • Mathematics Department, University of Tennessee, Knoxville, TN

  • Venue:
  • Journal of Computational and Applied Mathematics - On the occasion of the 65th birthday of Prof. Michael Eastham
  • Year:
  • 2002

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Abstract

A new criterion for the least point of the essential spectrum is given for a one term second-order differential operator. This criterion is sharper than the Friedrichs' criterion. Application is given to the singular eigenvalue problem associated with the buckling of a column under selfweight subjected to the constraint of fixed volume.