ON EXTREMAL PROBLEMS RELATED TO EIGENVALUES OF LINEAR DIFFERENTIAL OPERATORS. I.
Abstract
The report discusses the problem of extremization of Re lambda, say, in the equation Ax = lambda rho(x), 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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 01, 1969
- Accession Number
- AD0713706
Entities
People
- Pedro Nowosad
Organizations
- University of Wisconsin–Madison