Accession Number:

AD0713706

Title:

ON EXTREMAL PROBLEMS RELATED TO EIGENVALUES OF LINEAR DIFFERENTIAL OPERATORS. I.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1969-09-01

Pagination or Media Count:

77.0

Abstract:

The report discusses the problem of extremization of Re lambda, say, in the equation Ax lambda rhox, where A is a linear differential operator, x epsilon X, rho epsilon Q, with X and Q two suitable set of functions, under the additional condition the integral over rho 1. A comparison theorem involving equalities is proved which brings to light the existence of an analytical structure in the problem. Several applications to concrete cases are given. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE