EQUIMEASURABLE REARRANGEMENTS OF
FUNCTIONS AND FOURTH ORDER
BOUNDARY VALUE PROBLEMS

PHILIP SAVOYE

Abstract:

The buckling properties of a vibrating beam subject to axial compressive and elastic destructive forces are investigated in this paper. In particular, lower bounds for the eigenvalues of the corresponding boundary value problem are obtained and expressed in terms of equimeasurable rearrangements of the associated differential equation's coefficients.